René's URL Explorer Experiment

Title: Quantization (signal processing) - Wikipedia

Open Graph Title: Quantization (signal processing) - Wikipedia

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referrer	origin-when-cross-origin
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Links:

Jump to content	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#bodyContent
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Contents	https://en.wikipedia.org/wiki/Wikipedia:Contents
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Random article	https://en.wikipedia.org/wiki/Special:Random
About Wikipedia	https://en.wikipedia.org/wiki/Wikipedia:About
Contact us	https://en.wikipedia.org/wiki/Wikipedia:Contact_us
Help	https://en.wikipedia.org/wiki/Help:Contents
Learn to edit	https://en.wikipedia.org/wiki/Help:Introduction
Community portal	https://en.wikipedia.org/wiki/Wikipedia:Community_portal
Recent changes	https://en.wikipedia.org/wiki/Special:RecentChanges
Upload file	https://en.wikipedia.org/wiki/Wikipedia:File_upload_wizard
Special pages	https://en.wikipedia.org/wiki/Special:SpecialPages
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Donate	https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=en.wikipedia.org&uselang=en
Create account	https://en.wikipedia.org/w/index.php?title=Special:CreateAccount&returnto=Quantization+%28signal+processing%29
Log in	https://en.wikipedia.org/w/index.php?title=Special:UserLogin&returnto=Quantization+%28signal+processing%29
Donate	https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=en.wikipedia.org&uselang=en
Create account	https://en.wikipedia.org/w/index.php?title=Special:CreateAccount&returnto=Quantization+%28signal+processing%29
Log in	https://en.wikipedia.org/w/index.php?title=Special:UserLogin&returnto=Quantization+%28signal+processing%29
(Top)	https://en.wikipedia.org/wiki/Quantization_(signal_processing)
1 Example	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Example
2 Mathematical properties	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Mathematical_properties
3 Types	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Types
3.1 Analog-to-digital converter	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Analog-to-digital_converter
3.2 Rate–distortion optimization	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Rate–distortion_optimization
3.3 Mid-riser and mid-tread uniform quantizers	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Mid-riser_and_mid-tread_uniform_quantizers
3.4 Dead-zone quantizers	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Dead-zone_quantizers
4 Noise and error characteristics	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Noise_and_error_characteristics
4.1 Additive noise model	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Additive_noise_model
4.2 Quantization error models	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Quantization_error_models
4.3 Quantization noise model	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Quantization_noise_model
5 Design	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Design
5.1 Granular distortion and overload distortion	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Granular_distortion_and_overload_distortion
5.2 Rate–distortion quantizer design	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Rate–distortion_quantizer_design
5.3 Neglecting the entropy constraint: Lloyd–Max quantization	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Neglecting_the_entropy_constraint:_Lloyd–Max_quantization
5.4 Uniform quantization and the 6 dB/bit approximation	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Uniform_quantization_and_the_6_dB/bit_approximation
6 In other fields	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#In_other_fields
7 See also	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#See_also
8 Notes	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Notes
9 References	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#References
10 Further reading	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#Further_reading
العربية	https://ar.wikipedia.org/wiki/%D8%AA%D9%83%D9%85%D9%8A%D8%A9_(%D8%A5%D8%B4%D8%A7%D8%B1%D8%A9)
Azərbaycanca	https://az.wikipedia.org/wiki/Kvantlama_s%C9%99viyy%C9%99si
Български	https://bg.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82%D1%83%D0%B2%D0%B0%D0%BD_%D1%81%D0%B8%D0%B3%D0%BD%D0%B0%D0%BB
Català	https://ca.wikipedia.org/wiki/Quantificaci%C3%B3_(processament_de_senyal)
Čeština	https://cs.wikipedia.org/wiki/Kvantov%C3%A1n%C3%AD_(sign%C3%A1l)
Чӑвашла	https://cv.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82%D0%BB%D0%B0%D0%BD%D0%B8_(%D1%81%D0%B8%D0%B3%D0%BD%D0%B0%D0%BB%D1%81%D0%B5%D0%BD%D0%B5_%D1%82%D0%B8%D1%80%D0%BF%D0%B5%D0%B9%D0%BB%D0%B5%D0%BD%D0%B8)
Dansk	https://da.wikipedia.org/wiki/Kvantisering
Deutsch	https://de.wikipedia.org/wiki/Quantisierung_(Signalverarbeitung)
Español	https://es.wikipedia.org/wiki/Cuantificaci%C3%B3n_digital
Eesti	https://et.wikipedia.org/wiki/Kvantimine
فارسی	https://fa.wikipedia.org/wiki/%DA%A9%D9%88%D8%A7%D9%86%D8%AA%D8%B4_(%D9%BE%D8%B1%D8%AF%D8%A7%D8%B2%D8%B4_%D8%B3%DB%8C%DA%AF%D9%86%D8%A7%D9%84)
Suomi	https://fi.wikipedia.org/wiki/Kvantisointi
Français	https://fr.wikipedia.org/wiki/Quantification_(signal)
עברית	https://he.wikipedia.org/wiki/%D7%A7%D7%95%D7%95%D7%A0%D7%98%D7%99%D7%96%D7%A6%D7%99%D7%94_(%D7%A2%D7%99%D7%91%D7%95%D7%93_%D7%90%D7%95%D7%AA%D7%95%D7%AA)
Hrvatski	https://hr.wikipedia.org/wiki/Kvantizacija
Magyar	https://hu.wikipedia.org/wiki/Kvant%C3%A1l%C3%A1s_(jelfeldolgoz%C3%A1s)
Bahasa Indonesia	https://id.wikipedia.org/wiki/Kuantisasi_(pengolahan_sinyal)
Italiano	https://it.wikipedia.org/wiki/Quantizzazione_(elettronica)
한국어	https://ko.wikipedia.org/wiki/%EC%96%91%EC%9E%90%ED%99%94_(%EC%A0%95%EB%B3%B4_%EC%9D%B4%EB%A1%A0)
Македонски	https://mk.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%98%D0%B0_(%D0%BE%D0%B1%D1%80%D0%B0%D0%B1%D0%BE%D1%82%D0%BA%D0%B0_%D0%BD%D0%B0_%D1%81%D0%B8%D0%B3%D0%BD%D0%B0%D0%BB%D0%B8)
Nederlands	https://nl.wikipedia.org/wiki/Kwantisatie_(signaalanalyse)
Norsk bokmål	https://no.wikipedia.org/wiki/Kvantisering_(signalbehandling)
Polski	https://pl.wikipedia.org/wiki/Kwantyzacja_(technika)
Português	https://pt.wikipedia.org/wiki/Quantiza%C3%A7%C3%A3o
Русский	https://ru.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D0%B5_(%D0%BE%D0%B1%D1%80%D0%B0%D0%B1%D0%BE%D1%82%D0%BA%D0%B0_%D1%81%D0%B8%D0%B3%D0%BD%D0%B0%D0%BB%D0%BE%D0%B2)
Српски / srpski	https://sr.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%98%D0%B0_(%D0%BE%D0%B1%D1%80%D0%B0%D0%B4%D0%B0_%D1%81%D0%B8%D0%B3%D0%BD%D0%B0%D0%BB%D0%B0)
Sunda	https://su.wikipedia.org/wiki/Kuantisasi
Svenska	https://sv.wikipedia.org/wiki/Kvantisering_(signalbehandling)
தமிழ்	https://ta.wikipedia.org/wiki/%E0%AE%9A%E0%AF%8A%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%BE%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AE%AE%E0%AF%8D
Türkçe	https://tr.wikipedia.org/wiki/Nicemleme_(sinyal_i%C5%9Fleme)
Українська	https://uk.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82%D1%83%D0%B2%D0%B0%D0%BD%D0%BD%D1%8F_(%D0%BE%D0%B1%D1%80%D0%BE%D0%B1%D0%BA%D0%B0_%D1%81%D0%B8%D0%B3%D0%BD%D0%B0%D0%BB%D1%96%D0%B2)
Tiếng Việt	https://vi.wikipedia.org/wiki/L%C6%B0%E1%BB%A3ng_t%E1%BB%AD_h%C3%B3a
中文	https://zh.wikipedia.org/wiki/%E9%87%8F%E5%8C%96_(%E4%BF%A1%E5%8F%B7%E5%A4%84%E7%90%86)
Edit links	https://www.wikidata.org/wiki/Special:EntityPage/Q198099#sitelinks-wikipedia
Article	https://en.wikipedia.org/wiki/Quantization_(signal_processing)
Talk	https://en.wikipedia.org/wiki/Talk:Quantization_(signal_processing)
Read	https://en.wikipedia.org/wiki/Quantization_(signal_processing)
Edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit
View history	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=history
Read	https://en.wikipedia.org/wiki/Quantization_(signal_processing)
Edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit
View history	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=history
What links here	https://en.wikipedia.org/wiki/Special:WhatLinksHere/Quantization_(signal_processing)
Related changes	https://en.wikipedia.org/wiki/Special:RecentChangesLinked/Quantization_(signal_processing)
Upload file	https://en.wikipedia.org/wiki/Wikipedia:File_Upload_Wizard
Permanent link	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&oldid=1359832274
Page information	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=info
Cite this page	https://en.wikipedia.org/w/index.php?title=Special:CiteThisPage&page=Quantization_%28signal_processing%29&id=1359832274&wpFormIdentifier=titleform
Get shortened URL	https://en.wikipedia.org/w/index.php?title=Special:UrlShortener&url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FQuantization_%28signal_processing%29
Download as PDF	https://en.wikipedia.org/w/index.php?title=Special:DownloadAsPdf&page=Quantization_%28signal_processing%29&action=show-download-screen
Printable version	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&printable=yes
Wikimedia Commons	https://commons.wikimedia.org/wiki/Category:Quantization
Wikidata item	https://www.wikidata.org/wiki/Special:EntityPage/Q198099
	https://en.wikipedia.org/wiki/File:Quantization_error.png
signal reconstructed	https://en.wikipedia.org/wiki/Signal_reconstruction
mathematics	https://en.wikipedia.org/wiki/Mathematics
digital signal processing	https://en.wikipedia.org/wiki/Digital_signal_processing
number of elements	https://en.wikipedia.org/wiki/Number_of_elements
Rounding	https://en.wikipedia.org/wiki/Rounding
truncation	https://en.wikipedia.org/wiki/Truncation
lossy compression	https://en.wikipedia.org/wiki/Lossy_compression
round-off error	https://en.wikipedia.org/wiki/Round-off_error
algorithmic function	https://en.wikipedia.org/wiki/Algorithm_function
analog-to-digital converter	https://en.wikipedia.org/wiki/Analog-to-digital_converter
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=1
rounding	https://en.wikipedia.org/wiki/Rounding#Round_half_up
real number	https://en.wikipedia.org/wiki/Real_number
floor function	https://en.wikipedia.org/wiki/Floor_function
ceiling function	https://en.wikipedia.org/wiki/Ceiling_function
mean squared error	https://en.wikipedia.org/wiki/Mean_squared_error
[1]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Sheppard-1
[2]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Bennett-2
[3]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-OliverPierceShannon-3
[4]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Stein-4
[5]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GishPierce-5
[6]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GrayNeuhoff-6
decibels	https://en.wikipedia.org/wiki/Decibel
communication channel	https://en.wikipedia.org/wiki/Communication_channel
vector	https://en.wikipedia.org/wiki/Vector_quantization
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=2
non-linear	https://en.wikipedia.org/wiki/Non-linear
uncountable	https://en.wikipedia.org/wiki/Uncountable
finite	https://en.wikipedia.org/wiki/Finite_set
countably infinite	https://en.wikipedia.org/wiki/Countably_infinite
[6]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GrayNeuhoff-6
[7]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-7
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=3
	https://en.wikipedia.org/wiki/File:2-bit_resolution_analog_comparison.png
[8]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-8
	https://en.wikipedia.org/wiki/File:3-bit_resolution_analog_comparison.png
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=4
analog-to-digital converter	https://en.wikipedia.org/wiki/Analog-to-digital_converter
sampling	https://en.wikipedia.org/wiki/Sampling_(signal_processing)
discrete-time signal	https://en.wikipedia.org/wiki/Discrete-time_signal
8-bit	https://en.wikipedia.org/wiki/Audio_bit_depth
stochastic	https://en.wikipedia.org/wiki/Stochastic
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=5
Rate–distortion optimized	https://en.wikipedia.org/wiki/Rate%E2%80%93distortion_theory
source coding	https://en.wikipedia.org/wiki/Source_coding
bit rate	https://en.wikipedia.org/wiki/Bit_rate
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=6
stairway	https://en.wikipedia.org/wiki/Stairway
riser	https://en.wikipedia.org/wiki/Stair_riser
[9]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Gersho77-9
intervals	https://en.wikipedia.org/wiki/Interval_(mathematics)
[9]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Gersho77-9
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=7
deadband	https://en.wikipedia.org/wiki/Deadband
noise gate	https://en.wikipedia.org/wiki/Noise_gate
squelch	https://en.wikipedia.org/wiki/Squelch
[10]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-10
[11]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-11
[12]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-SullivanIT-12
sign function	https://en.wikipedia.org/wiki/Sign_function
probability density function	https://en.wikipedia.org/wiki/Probability_density_function
Gaussian	https://en.wikipedia.org/wiki/Gaussian_distribution
Laplacian	https://en.wikipedia.org/wiki/Laplacian_distribution
generalized Gaussian	https://en.wikipedia.org/wiki/Generalized_Gaussian_distribution
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=8
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=9
white noise	https://en.wikipedia.org/wiki/White_noise
power spectral density	https://en.wikipedia.org/wiki/Power_spectral_density
[2]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Bennett-2
[6]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GrayNeuhoff-6
[13]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Widrow1-13
[14]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Widrow2-14
[2]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Bennett-2
[15]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-MarcoNeuhoff-15
limit cycles	https://en.wikipedia.org/wiki/Limit_cycle
dithered	https://en.wikipedia.org/wiki/Dither
noise shaping	https://en.wikipedia.org/wiki/Noise_shaping
pseudo-random	https://en.wikipedia.org/wiki/Pseudo-random
[6]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GrayNeuhoff-6
[14]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Widrow2-14
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=10
least significant bit	https://en.wikipedia.org/wiki/Least_significant_bit
uniform distribution	https://en.wikipedia.org/wiki/Uniform_distribution_(continuous)
mean	https://en.wikipedia.org/wiki/Mean
root mean square	https://en.wikipedia.org/wiki/Root_mean_square
standard deviation	https://en.wikipedia.org/wiki/Standard_deviation
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=11
	https://en.wikipedia.org/wiki/File:Frequency_spectrum_of_a_sinusoid_and_its_quantization_noise_floor.gif
model	https://en.wikipedia.org/wiki/Model_(abstract)
Signal-to-quantization-noise ratio	https://en.wikipedia.org/wiki/Signal-to-quantization-noise_ratio
triangle waves	https://en.wikipedia.org/wiki/Triangle_wave
sawtooth waves	https://en.wikipedia.org/wiki/Sawtooth_wave
16-bit	https://en.wikipedia.org/wiki/16-bit
sine wave	https://en.wikipedia.org/wiki/Sine_wave
[16]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-16
[17]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-17
companding	https://en.wikipedia.org/wiki/Companding
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=12
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=13
automatic gain control	https://en.wikipedia.org/wiki/Automatic_gain_control
[6]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GrayNeuhoff-6
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=14
intervals	https://en.wikipedia.org/wiki/Interval_(mathematics)
Entropy coding	https://en.wikipedia.org/wiki/Entropy_coding
[a]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-18
Lagrange multiplier	https://en.wikipedia.org/wiki/Lagrange_multiplier
convex hull	https://en.wikipedia.org/wiki/Convex_hull
closed-form	https://en.wikipedia.org/wiki/Closed-form_expression
[18]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-19
exponential	https://en.wikipedia.org/wiki/Exponential_distribution
[12]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-SullivanIT-12
Laplacian	https://en.wikipedia.org/wiki/Laplace_distribution
[12]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-SullivanIT-12
[6]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GrayNeuhoff-6
[19]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Berger72-20
[20]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Berger82-21
conditional expected value	https://en.wikipedia.org/wiki/Conditional_expected_value
centroid	https://en.wikipedia.org/wiki/Centroid
arithmetic coding	https://en.wikipedia.org/wiki/Arithmetic_coding
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=15
variable-length code	https://en.wikipedia.org/wiki/Variable-length_code
[6]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GrayNeuhoff-6
[21]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-22
[22]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-23
Lloyd's Method I algorithm	https://en.wikipedia.org/wiki/Lloyd%27s_algorithm
Linde–Buzo–Gray (LBG)	https://en.wikipedia.org/wiki/Linde%E2%80%93Buzo%E2%80%93Gray_algorithm
k-means	https://en.wikipedia.org/wiki/K-means
[23]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-ChouLookabaughGray-24
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=16
[2]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-Bennett-2
[3]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-OliverPierceShannon-3
[5]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GishPierce-5
[6]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GrayNeuhoff-6
[5]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GishPierce-5
[6]	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_note-GrayNeuhoff-6
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=17
Quantum noise	https://en.wikipedia.org/wiki/Quantum_noise
Quantum limit	https://en.wikipedia.org/wiki/Quantum_limit
electronics	https://en.wikipedia.org/wiki/Electronics
electrons	https://en.wikipedia.org/wiki/Electron
optics	https://en.wikipedia.org/wiki/Optics
photons	https://en.wikipedia.org/wiki/Photon
biology	https://en.wikipedia.org/wiki/Biology
DNA	https://en.wikipedia.org/wiki/DNA
physics	https://en.wikipedia.org/wiki/Physics
Planck limits	https://en.wikipedia.org/wiki/Planck_limits
chemistry	https://en.wikipedia.org/wiki/Chemistry
molecules	https://en.wikipedia.org/wiki/Molecule
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=18
Beta encoder	https://en.wikipedia.org/wiki/Beta_encoder
Color quantization	https://en.wikipedia.org/wiki/Color_quantization
Data binning	https://en.wikipedia.org/wiki/Data_binning
Discretization	https://en.wikipedia.org/wiki/Discretization
Discretization error	https://en.wikipedia.org/wiki/Discretization_error
Least count	https://en.wikipedia.org/wiki/Least_count
Posterization	https://en.wikipedia.org/wiki/Posterization
Pulse-code modulation	https://en.wikipedia.org/wiki/Pulse-code_modulation
Quantile	https://en.wikipedia.org/wiki/Quantile
Quantization (image processing)	https://en.wikipedia.org/wiki/Quantization_(image_processing)
Regression dilution	https://en.wikipedia.org/wiki/Regression_dilution
Sample abundance	https://en.wikipedia.org/wiki/Sample_abundance
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=19
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-18
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=20
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-Sheppard_1-0
Sheppard, W. F.	https://en.wikipedia.org/wiki/William_Fleetwood_Sheppard
"On the Calculation of the most Probable Values of Frequency-Constants, for Data arranged according to Equidistant Division of a Scale"	https://zenodo.org/record/1447738
doi	https://en.wikipedia.org/wiki/Doi_(identifier)
10.1112/plms/s1-29.1.353	https://doi.org/10.1112%2Fplms%2Fs1-29.1.353
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0024-6115	https://search.worldcat.org/issn/0024-6115
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d	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-Bennett_2-3
Spectra of Quantized Signals	http://www.alcatel-lucent.com/bstj/vol27-1948/articles/bstj27-3-446.pdf
Bell System Technical Journal	https://en.wikipedia.org/wiki/Bell_System_Technical_Journal
a	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-OliverPierceShannon_3-0
b	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-OliverPierceShannon_3-1
Shannon, C.E.	https://en.wikipedia.org/wiki/Claude_Shannon
doi	https://en.wikipedia.org/wiki/Doi_(identifier)
10.1109/jrproc.1948.231941	https://doi.org/10.1109%2Fjrproc.1948.231941
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0096-8390	https://search.worldcat.org/issn/0096-8390
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51663786	https://api.semanticscholar.org/CorpusID:51663786
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Modern Communication Principles	https://books.google.com/books/about/Modern_communication_principles.html?id=jBc3AQAAIAAJ
McGraw–Hill	https://en.wikipedia.org/wiki/McGraw%E2%80%93Hill
ISBN	https://en.wikipedia.org/wiki/ISBN_(identifier)
978-0-07-061003-3	https://en.wikipedia.org/wiki/Special:BookSources/978-0-07-061003-3
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Bibcode	https://en.wikipedia.org/wiki/Bibcode_(identifier)
1968ITIT...14..676G	https://ui.adsabs.harvard.edu/abs/1968ITIT...14..676G
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10.1109/tit.1968.1054193	https://doi.org/10.1109%2Ftit.1968.1054193
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0018-9448	https://search.worldcat.org/issn/0018-9448
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e	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-GrayNeuhoff_6-4
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i	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-GrayNeuhoff_6-8
Gray, R.M.	https://en.wikipedia.org/wiki/Robert_M._Gray
Bibcode	https://en.wikipedia.org/wiki/Bibcode_(identifier)
1998ITIT...44.2325G	https://ui.adsabs.harvard.edu/abs/1998ITIT...44.2325G
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10.1109/18.720541	https://doi.org/10.1109%2F18.720541
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0018-9448	https://search.worldcat.org/issn/0018-9448
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212653679	https://api.semanticscholar.org/CorpusID:212653679
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Allen Gersho	https://en.wikipedia.org/wiki/Allen_Gersho
Robert M. Gray	https://en.wikipedia.org/wiki/Robert_M._Gray
Vector Quantization and Signal Compression	https://books.google.com/books?id=DwcDm6xgItUC
Springer	https://en.wikipedia.org/wiki/Springer_Science%2BBusiness_Media
ISBN	https://en.wikipedia.org/wiki/ISBN_(identifier)
978-0-7923-9181-4	https://en.wikipedia.org/wiki/Special:BookSources/978-0-7923-9181-4
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-8
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978-1-4411-5607-5	https://en.wikipedia.org/wiki/Special:BookSources/978-1-4411-5607-5
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Gersho, A.	https://en.wikipedia.org/wiki/Allen_Gersho
Bibcode	https://en.wikipedia.org/wiki/Bibcode_(identifier)
1977ICScM..15...16G	https://ui.adsabs.harvard.edu/abs/1977ICScM..15...16G
doi	https://en.wikipedia.org/wiki/Doi_(identifier)
10.1109/mcom.1977.1089500	https://doi.org/10.1109%2Fmcom.1977.1089500
ISSN	https://en.wikipedia.org/wiki/ISSN_(identifier)
0148-9615	https://search.worldcat.org/issn/0148-9615
S2CID	https://en.wikipedia.org/wiki/S2CID_(identifier)
260498692	https://api.semanticscholar.org/CorpusID:260498692
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-10
The JPEG 2000 Suite	https://archive.org/details/jpegsuitethewile00sche
John Wiley & Sons	https://en.wikipedia.org/wiki/John_Wiley_%26_Sons
22	https://archive.org/details/jpegsuitethewile00sche/page/n73
ISBN	https://en.wikipedia.org/wiki/ISBN_(identifier)
978-0-470-72147-6	https://en.wikipedia.org/wiki/Special:BookSources/978-0-470-72147-6
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-11
JPEG2000: Image Compression Fundamentals, Standards and Practice	https://archive.org/details/jpegimagecompres00taub
Kluwer Academic Publishers	https://en.wikipedia.org/wiki/Kluwer_Academic_Publishers
107	https://archive.org/details/jpegimagecompres00taub/page/n126
ISBN	https://en.wikipedia.org/wiki/ISBN_(identifier)
0-7923-7519-X	https://en.wikipedia.org/wiki/Special:BookSources/0-7923-7519-X
a	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-SullivanIT_12-0
b	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-SullivanIT_12-1
c	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-SullivanIT_12-2
Sullivan, G.J.	https://en.wikipedia.org/wiki/Gary_Sullivan_(engineer)
Bibcode	https://en.wikipedia.org/wiki/Bibcode_(identifier)
1996ITIT...42.1365S	https://ui.adsabs.harvard.edu/abs/1996ITIT...42.1365S
doi	https://en.wikipedia.org/wiki/Doi_(identifier)
10.1109/18.532878	https://doi.org/10.1109%2F18.532878
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0018-9448	https://search.worldcat.org/issn/0018-9448
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-Widrow1_13-0
Widrow, B.	https://en.wikipedia.org/wiki/Bernard_Widrow
doi	https://en.wikipedia.org/wiki/Doi_(identifier)
10.1109/tct.1956.1086334	https://doi.org/10.1109%2Ftct.1956.1086334
hdl	https://en.wikipedia.org/wiki/Hdl_(identifier)
1721.1/12139	https://hdl.handle.net/1721.1%2F12139
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0096-2007	https://search.worldcat.org/issn/0096-2007
S2CID	https://en.wikipedia.org/wiki/S2CID_(identifier)
16777461	https://api.semanticscholar.org/CorpusID:16777461
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Widrow, B.	https://en.wikipedia.org/wiki/Bernard_Widrow
"Statistical analysis of amplitude-quantized sampled-data systems"	https://web.archive.org/web/20110401025420/http://www-isl.stanford.edu/~widrow/papers/j1961statisticalanalysis.pdf
doi	https://en.wikipedia.org/wiki/Doi_(identifier)
10.1109/TAI.1961.6371702	https://doi.org/10.1109%2FTAI.1961.6371702
the original	http://www-isl.stanford.edu/~widrow/papers/j1961statisticalanalysis.pdf
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-MarcoNeuhoff_15-0
Bibcode	https://en.wikipedia.org/wiki/Bibcode_(identifier)
2005ITIT...51.1739M	https://ui.adsabs.harvard.edu/abs/2005ITIT...51.1739M
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10.1109/tit.2005.846397	https://doi.org/10.1109%2Ftit.2005.846397
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0018-9448	https://search.worldcat.org/issn/0018-9448
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14819261	https://api.semanticscholar.org/CorpusID:14819261
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-16
Principles of Digital Audio 2nd Edition	https://books.google.com/books?id=VZw6z9a03ikC&pg=PA37
ISBN	https://en.wikipedia.org/wiki/ISBN_(identifier)
9780071441568	https://en.wikipedia.org/wiki/Special:BookSources/9780071441568
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-17
Focal Press	https://en.wikipedia.org/wiki/Focal_Press
ISBN	https://en.wikipedia.org/wiki/ISBN_(identifier)
0-240-51587-0	https://en.wikipedia.org/wiki/Special:BookSources/0-240-51587-0
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-19
Farvardin, N.	https://en.wikipedia.org/wiki/Nariman_Farvardin
Bibcode	https://en.wikipedia.org/wiki/Bibcode_(identifier)
1984ITIT...30..485F	https://ui.adsabs.harvard.edu/abs/1984ITIT...30..485F
doi	https://en.wikipedia.org/wiki/Doi_(identifier)
10.1109/tit.1984.1056920	https://doi.org/10.1109%2Ftit.1984.1056920
ISSN	https://en.wikipedia.org/wiki/ISSN_(identifier)
0018-9448	https://search.worldcat.org/issn/0018-9448
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-Berger72_20-0
Berger, T.	https://en.wikipedia.org/wiki/Toby_Berger
Bibcode	https://en.wikipedia.org/wiki/Bibcode_(identifier)
1972ITIT...18..759B	https://ui.adsabs.harvard.edu/abs/1972ITIT...18..759B
doi	https://en.wikipedia.org/wiki/Doi_(identifier)
10.1109/tit.1972.1054906	https://doi.org/10.1109%2Ftit.1972.1054906
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0018-9448	https://search.worldcat.org/issn/0018-9448
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-Berger82_21-0
Berger, T.	https://en.wikipedia.org/wiki/Toby_Berger
Bibcode	https://en.wikipedia.org/wiki/Bibcode_(identifier)
1982ITIT...28..149B	https://ui.adsabs.harvard.edu/abs/1982ITIT...28..149B
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10.1109/tit.1982.1056456	https://doi.org/10.1109%2Ftit.1982.1056456
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0018-9448	https://search.worldcat.org/issn/0018-9448
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-22
Bibcode	https://en.wikipedia.org/wiki/Bibcode_(identifier)
1982ITIT...28..129L	https://ui.adsabs.harvard.edu/abs/1982ITIT...28..129L
CiteSeerX	https://en.wikipedia.org/wiki/CiteSeerX_(identifier)
10.1.1.131.1338	https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.131.1338
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10.1109/tit.1982.1056489	https://doi.org/10.1109%2Ftit.1982.1056489
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0018-9448	https://search.worldcat.org/issn/0018-9448
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10833328	https://api.semanticscholar.org/CorpusID:10833328
Bell Laboratories	https://en.wikipedia.org/wiki/Bell_Laboratories
Institute of Mathematical Statistics	https://en.wikipedia.org/wiki/Institute_of_Mathematical_Statistics
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-23
Bibcode	https://en.wikipedia.org/wiki/Bibcode_(identifier)
1960ITIT....6....7M	https://ui.adsabs.harvard.edu/abs/1960ITIT....6....7M
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10.1109/tit.1960.1057548	https://doi.org/10.1109%2Ftit.1960.1057548
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0018-9448	https://search.worldcat.org/issn/0018-9448
^	https://en.wikipedia.org/wiki/Quantization_(signal_processing)#cite_ref-ChouLookabaughGray_24-0
Gray, R.M.	https://en.wikipedia.org/wiki/Robert_M._Gray
Bibcode	https://en.wikipedia.org/wiki/Bibcode_(identifier)
1989ITASS..37...31C	https://ui.adsabs.harvard.edu/abs/1989ITASS..37...31C
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10.1109/29.17498	https://doi.org/10.1109%2F29.17498
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0096-3518	https://search.worldcat.org/issn/0096-3518
ISBN	https://en.wikipedia.org/wiki/ISBN_(identifier)
978-0-12-620862-7	https://en.wikipedia.org/wiki/Special:BookSources/978-0-12-620862-7
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978-0-13-211913-9	https://en.wikipedia.org/wiki/Special:BookSources/978-0-13-211913-9
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978-0-471-32661-8	https://en.wikipedia.org/wiki/Special:BookSources/978-0-471-32661-8
McGraw–Hill	https://en.wikipedia.org/wiki/McGraw%E2%80%93Hill
ISBN	https://en.wikipedia.org/wiki/ISBN_(identifier)
978-0-07-061003-3	https://en.wikipedia.org/wiki/Special:BookSources/978-0-07-061003-3
edit	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&action=edit§ion=21
Quantization noise in Digital Computation, Signal Processing, and Control	https://web.archive.org/web/20110807143410/http://www.mit.bme.hu/books/quantization/
ISBN	https://en.wikipedia.org/wiki/ISBN_(identifier)
9780521886710	https://en.wikipedia.org/wiki/Special:BookSources/9780521886710
the original	http://www.mit.bme.hu/books/quantization/
v	https://en.wikipedia.org/wiki/Template:Digital_signal_processing
t	https://en.wikipedia.org/wiki/Template_talk:Digital_signal_processing
e	https://en.wikipedia.org/wiki/Special:EditPage/Template:Digital_signal_processing
Digital signal processing	https://en.wikipedia.org/wiki/Digital_signal_processing
Detection theory	https://en.wikipedia.org/wiki/Detection_theory
Discrete signal	https://en.wikipedia.org/wiki/Discrete_time_and_continuous_time
Estimation theory	https://en.wikipedia.org/wiki/Estimation_theory
Nyquist–Shannon sampling theorem	https://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem
Audio signal processing	https://en.wikipedia.org/wiki/Audio_signal_processing
Digital image processing	https://en.wikipedia.org/wiki/Digital_image_processing
Speech processing	https://en.wikipedia.org/wiki/Speech_processing
Statistical signal processing	https://en.wikipedia.org/wiki/Statistical_signal_processing
Z-transform	https://en.wikipedia.org/wiki/Z-transform
Advanced z-transform	https://en.wikipedia.org/wiki/Advanced_z-transform
Matched Z-transform method	https://en.wikipedia.org/wiki/Matched_Z-transform_method
Bilinear transform	https://en.wikipedia.org/wiki/Bilinear_transform
Constant-Q transform	https://en.wikipedia.org/wiki/Constant-Q_transform
Discrete cosine transform	https://en.wikipedia.org/wiki/Discrete_cosine_transform
Discrete Fourier transform	https://en.wikipedia.org/wiki/Discrete_Fourier_transform
Discrete-time Fourier transform	https://en.wikipedia.org/wiki/Discrete-time_Fourier_transform
Impulse invariance	https://en.wikipedia.org/wiki/Impulse_invariance
Integral transform	https://en.wikipedia.org/wiki/Integral_transform
Laplace transform	https://en.wikipedia.org/wiki/Laplace_transform
Post's inversion formula	https://en.wikipedia.org/wiki/Post%27s_inversion_formula
Starred transform	https://en.wikipedia.org/wiki/Starred_transform
Zak transform	https://en.wikipedia.org/wiki/Zak_transform
Sampling	https://en.wikipedia.org/wiki/Sampling_(signal_processing)
Aliasing	https://en.wikipedia.org/wiki/Aliasing
Anti-aliasing filter	https://en.wikipedia.org/wiki/Anti-aliasing_filter
Downsampling	https://en.wikipedia.org/wiki/Downsampling_(signal_processing)
Nyquist rate	https://en.wikipedia.org/wiki/Nyquist_rate
frequency	https://en.wikipedia.org/wiki/Nyquist_frequency
Oversampling	https://en.wikipedia.org/wiki/Oversampling
Sampling rate	https://en.wikipedia.org/wiki/Sampling_rate
Undersampling	https://en.wikipedia.org/wiki/Undersampling
Upsampling	https://en.wikipedia.org/wiki/Upsampling
v	https://en.wikipedia.org/wiki/Template:Compression_methods
t	https://en.wikipedia.org/wiki/Template_talk:Compression_methods
e	https://en.wikipedia.org/wiki/Special:EditPage/Template:Compression_methods
Data compression	https://en.wikipedia.org/wiki/Data_compression
Lossless	https://en.wikipedia.org/wiki/Lossless_compression
Entropy	https://en.wikipedia.org/wiki/Entropy_coding
Adaptive coding	https://en.wikipedia.org/wiki/Adaptive_coding
Arithmetic	https://en.wikipedia.org/wiki/Arithmetic_coding
Asymmetric numeral systems	https://en.wikipedia.org/wiki/Asymmetric_numeral_systems
Golomb	https://en.wikipedia.org/wiki/Golomb_coding
Huffman	https://en.wikipedia.org/wiki/Huffman_coding
Adaptive	https://en.wikipedia.org/wiki/Adaptive_Huffman_coding
Canonical	https://en.wikipedia.org/wiki/Canonical_Huffman_code
Modified	https://en.wikipedia.org/wiki/Modified_Huffman_coding
Range	https://en.wikipedia.org/wiki/Range_coding
Shannon	https://en.wikipedia.org/wiki/Shannon_coding
Shannon–Fano	https://en.wikipedia.org/wiki/Shannon%E2%80%93Fano_coding
Shannon–Fano–Elias	https://en.wikipedia.org/wiki/Shannon%E2%80%93Fano%E2%80%93Elias_coding
Tunstall	https://en.wikipedia.org/wiki/Tunstall_coding
Unary	https://en.wikipedia.org/wiki/Unary_coding
Universal	https://en.wikipedia.org/wiki/Universal_code_(data_compression)
Exp-Golomb	https://en.wikipedia.org/wiki/Exponential-Golomb_coding
Fibonacci	https://en.wikipedia.org/wiki/Fibonacci_coding
Gamma	https://en.wikipedia.org/wiki/Elias_gamma_coding
Levenshtein	https://en.wikipedia.org/wiki/Levenshtein_coding
Dictionary	https://en.wikipedia.org/wiki/Dictionary_coder
Byte-pair encoding	https://en.wikipedia.org/wiki/Byte-pair_encoding
Lempel–Ziv	https://en.wikipedia.org/wiki/LZ77_and_LZ78
842	https://en.wikipedia.org/wiki/842_(compression_algorithm)
LZ4	https://en.wikipedia.org/wiki/LZ4_(compression_algorithm)
LZJB	https://en.wikipedia.org/wiki/LZJB
LZO	https://en.wikipedia.org/wiki/Lempel%E2%80%93Ziv%E2%80%93Oberhumer
LZRW	https://en.wikipedia.org/wiki/LZRW
LZSS	https://en.wikipedia.org/wiki/Lempel%E2%80%93Ziv%E2%80%93Storer%E2%80%93Szymanski
LZW	https://en.wikipedia.org/wiki/Lempel%E2%80%93Ziv%E2%80%93Welch
LZWL	https://en.wikipedia.org/wiki/LZWL
Snappy	https://en.wikipedia.org/wiki/Snappy_(compression)
BWT	https://en.wikipedia.org/wiki/Burrows%E2%80%93Wheeler_transform
CTW	https://en.wikipedia.org/wiki/Context_tree_weighting
CM	https://en.wikipedia.org/wiki/Context_mixing
Delta	https://en.wikipedia.org/wiki/Delta_encoding
Incremental	https://en.wikipedia.org/wiki/Incremental_encoding
DMC	https://en.wikipedia.org/wiki/Dynamic_Markov_compression
DPCM	https://en.wikipedia.org/wiki/Differential_pulse-code_modulation
Grammar	https://en.wikipedia.org/wiki/Grammar-based_code
Re-Pair	https://en.wikipedia.org/wiki/Re-Pair
Sequitur	https://en.wikipedia.org/wiki/Sequitur_algorithm
LDCT	https://en.wikipedia.org/wiki/Discrete_cosine_transform
MTF	https://en.wikipedia.org/wiki/Move-to-front_transform
PAQ	https://en.wikipedia.org/wiki/PAQ
PPM	https://en.wikipedia.org/wiki/Prediction_by_partial_matching
RLE	https://en.wikipedia.org/wiki/Run-length_encoding
Deflate	https://en.wikipedia.org/wiki/Deflate
LZX	https://en.wikipedia.org/wiki/LZX
LZS	https://en.wikipedia.org/wiki/Lempel%E2%80%93Ziv%E2%80%93Stac
LZFSE	https://en.wikipedia.org/wiki/LZFSE
Zstandard	https://en.wikipedia.org/wiki/Zstd
Brotli	https://en.wikipedia.org/wiki/Brotli
LHA/LZH	https://en.wikipedia.org/wiki/LHA_(file_format)
LZMA	https://en.wikipedia.org/wiki/LZMA
bzip2	https://en.wikipedia.org/wiki/Bzip2
Lossy	https://en.wikipedia.org/wiki/Lossy_compression
Transform	https://en.wikipedia.org/wiki/Transform_coding
Discrete cosine transform	https://en.wikipedia.org/wiki/Discrete_cosine_transform
DCT	https://en.wikipedia.org/wiki/Discrete_cosine_transform
MDCT	https://en.wikipedia.org/wiki/Modified_discrete_cosine_transform
DST	https://en.wikipedia.org/wiki/Discrete_sine_transform
FFT	https://en.wikipedia.org/wiki/Fast_Fourier_transform
Wavelet	https://en.wikipedia.org/wiki/Wavelet_transform
Daubechies	https://en.wikipedia.org/wiki/Daubechies_wavelet
DWT	https://en.wikipedia.org/wiki/Discrete_wavelet_transform
SPIHT	https://en.wikipedia.org/wiki/Set_partitioning_in_hierarchical_trees
DPCM	https://en.wikipedia.org/wiki/Differential_pulse-code_modulation
ADPCM	https://en.wikipedia.org/wiki/Adaptive_differential_pulse-code_modulation
LPC	https://en.wikipedia.org/wiki/Linear_predictive_coding
ACELP	https://en.wikipedia.org/wiki/Algebraic_code-excited_linear_prediction
CELP	https://en.wikipedia.org/wiki/Code-excited_linear_prediction
LAR	https://en.wikipedia.org/wiki/Log_area_ratio
LSP	https://en.wikipedia.org/wiki/Line_spectral_pairs
WLPC	https://en.wikipedia.org/wiki/Warped_linear_predictive_coding
Compensation	https://en.wikipedia.org/wiki/Motion_compensation
Estimation	https://en.wikipedia.org/wiki/Motion_estimation
Vector	https://en.wikipedia.org/wiki/Motion_vector
Psychoacoustic	https://en.wikipedia.org/wiki/Psychoacoustics
Audio	https://en.wikipedia.org/wiki/Data_compression#Audio
Bit rate	https://en.wikipedia.org/wiki/Bit_rate
ABR	https://en.wikipedia.org/wiki/Average_bitrate
CBR	https://en.wikipedia.org/wiki/Constant_bitrate
VBR	https://en.wikipedia.org/wiki/Variable_bitrate
Companding	https://en.wikipedia.org/wiki/Companding
Convolution	https://en.wikipedia.org/wiki/Convolution
Dynamic range	https://en.wikipedia.org/wiki/Dynamic_range
Latency	https://en.wikipedia.org/wiki/Latency_(audio)
Nyquist–Shannon theorem	https://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem
Sampling	https://en.wikipedia.org/wiki/Sampling_(signal_processing)
Silence compression	https://en.wikipedia.org/wiki/Silence_compression
Sound quality	https://en.wikipedia.org/wiki/Sound_quality
Speech coding	https://en.wikipedia.org/wiki/Speech_coding
Sub-band coding	https://en.wikipedia.org/wiki/Sub-band_coding
Codec	https://en.wikipedia.org/wiki/Audio_codec
A-law	https://en.wikipedia.org/wiki/A-law_algorithm
μ-law	https://en.wikipedia.org/wiki/%CE%9C-law_algorithm
DPCM	https://en.wikipedia.org/wiki/Differential_pulse-code_modulation
ADPCM	https://en.wikipedia.org/wiki/Adaptive_differential_pulse-code_modulation
DM	https://en.wikipedia.org/wiki/Delta_modulation
FT	https://en.wikipedia.org/wiki/Fourier_transform
FFT	https://en.wikipedia.org/wiki/Fast_Fourier_transform
LPC	https://en.wikipedia.org/wiki/Linear_predictive_coding
ACELP	https://en.wikipedia.org/wiki/Algebraic_code-excited_linear_prediction
CELP	https://en.wikipedia.org/wiki/Code-excited_linear_prediction
LAR	https://en.wikipedia.org/wiki/Log_area_ratio
LSP	https://en.wikipedia.org/wiki/Line_spectral_pairs
WLPC	https://en.wikipedia.org/wiki/Warped_linear_predictive_coding
MDCT	https://en.wikipedia.org/wiki/Modified_discrete_cosine_transform
Psychoacoustic model	https://en.wikipedia.org/wiki/Psychoacoustics
Image	https://en.wikipedia.org/wiki/Image_compression
Chroma subsampling	https://en.wikipedia.org/wiki/Chroma_subsampling
Coding tree unit	https://en.wikipedia.org/wiki/Coding_tree_unit
Color space	https://en.wikipedia.org/wiki/Color_space
Compression artifact	https://en.wikipedia.org/wiki/Compression_artifact
Image resolution	https://en.wikipedia.org/wiki/Image_resolution
Macroblock	https://en.wikipedia.org/wiki/Macroblock
Pixel	https://en.wikipedia.org/wiki/Pixel
PSNR	https://en.wikipedia.org/wiki/Peak_signal-to-noise_ratio
Quantization	https://en.wikipedia.org/wiki/Quantization_(image_processing)
Standard test image	https://en.wikipedia.org/wiki/Standard_test_image
Texture compression	https://en.wikipedia.org/wiki/Texture_compression
Chain code	https://en.wikipedia.org/wiki/Chain_code
DCT	https://en.wikipedia.org/wiki/Discrete_cosine_transform
Deflate	https://en.wikipedia.org/wiki/Deflate
Fractal	https://en.wikipedia.org/wiki/Fractal_compression
KLT	https://en.wikipedia.org/wiki/Karhunen%E2%80%93Lo%C3%A8ve_theorem
LP	https://en.wikipedia.org/wiki/Pyramid_(image_processing)
RLE	https://en.wikipedia.org/wiki/Run-length_encoding
Wavelet	https://en.wikipedia.org/wiki/Wavelet_transform
Daubechies	https://en.wikipedia.org/wiki/Daubechies_wavelet
DWT	https://en.wikipedia.org/wiki/Discrete_wavelet_transform
EZW	https://en.wikipedia.org/wiki/Embedded_zerotrees_of_wavelet_transforms
SPIHT	https://en.wikipedia.org/wiki/Set_partitioning_in_hierarchical_trees
Video	https://en.wikipedia.org/wiki/Data_compression#Video
Bit rate	https://en.wikipedia.org/wiki/Bit_rate
ABR	https://en.wikipedia.org/wiki/Average_bitrate
CBR	https://en.wikipedia.org/wiki/Constant_bitrate
VBR	https://en.wikipedia.org/wiki/Variable_bitrate
Display resolution	https://en.wikipedia.org/wiki/Display_resolution
Frame	https://en.wikipedia.org/wiki/Film_frame
Frame rate	https://en.wikipedia.org/wiki/Frame_rate
Frame types	https://en.wikipedia.org/wiki/Video_compression_picture_types
Interlace	https://en.wikipedia.org/wiki/Interlaced_video
Video characteristics	https://en.wikipedia.org/wiki/Video#Characteristics_of_video_streams
Video quality	https://en.wikipedia.org/wiki/Video_quality
Codec	https://en.wikipedia.org/wiki/Video_codec
DCT	https://en.wikipedia.org/wiki/Discrete_cosine_transform
DPCM	https://en.wikipedia.org/wiki/Differential_pulse-code_modulation
Deblocking filter	https://en.wikipedia.org/wiki/Deblocking_filter
Lapped transform	https://en.wikipedia.org/wiki/Lapped_transform
Compensation	https://en.wikipedia.org/wiki/Motion_compensation
Estimation	https://en.wikipedia.org/wiki/Motion_estimation
Vector	https://en.wikipedia.org/wiki/Motion_vector
Wavelet	https://en.wikipedia.org/wiki/Wavelet_transform
Daubechies	https://en.wikipedia.org/wiki/Daubechies_wavelet
DWT	https://en.wikipedia.org/wiki/Discrete_wavelet_transform
Theory	https://en.wikipedia.org/wiki/Information_theory
Compressed data structures	https://en.wikipedia.org/wiki/Compressed_data_structure
Compressed suffix array	https://en.wikipedia.org/wiki/Compressed_suffix_array
FM-index	https://en.wikipedia.org/wiki/FM-index
Entropy	https://en.wikipedia.org/wiki/Entropy_(information_theory)
Information theory	https://en.wikipedia.org/wiki/Information_theory
Timeline	https://en.wikipedia.org/wiki/Timeline_of_information_theory
Kolmogorov complexity	https://en.wikipedia.org/wiki/Kolmogorov_complexity
Prefix code	https://en.wikipedia.org/wiki/Prefix_code
Rate–distortion	https://en.wikipedia.org/wiki/Rate%E2%80%93distortion_theory
Redundancy	https://en.wikipedia.org/wiki/Redundancy_(information_theory)
Symmetry	https://en.wikipedia.org/wiki/Data_compression_symmetry
Smallest grammar problem	https://en.wikipedia.org/wiki/Smallest_grammar_problem
Hutter Prize	https://en.wikipedia.org/wiki/Hutter_Prize
Mark Adler	https://en.wikipedia.org/wiki/Mark_Adler
David A. Huffman	https://en.wikipedia.org/wiki/David_A._Huffman
Phil Katz	https://en.wikipedia.org/wiki/Phil_Katz
v	https://en.wikipedia.org/wiki/Template:Noise
t	https://en.wikipedia.org/wiki/Template_talk:Noise
e	https://en.wikipedia.org/wiki/Special:EditPage/Template:Noise
Noise	https://en.wikipedia.org/wiki/Noise_(spectral_phenomenon)
Acoustic quieting	https://en.wikipedia.org/wiki/Acoustic_quieting
Distortion	https://en.wikipedia.org/wiki/Distortion
Noise cancellation	https://en.wikipedia.org/wiki/Active_noise_control
Noise control	https://en.wikipedia.org/wiki/Noise_control
Noise measurement	https://en.wikipedia.org/wiki/Noise_measurement
Noise power	https://en.wikipedia.org/wiki/Noise_power
Noise reduction	https://en.wikipedia.org/wiki/Noise_reduction
Noise temperature	https://en.wikipedia.org/wiki/Noise_temperature
Phase distortion	https://en.wikipedia.org/wiki/Phase_distortion
Audio	https://en.wikipedia.org/wiki/Noise
Buildings	https://en.wikipedia.org/wiki/Architectural_acoustics
Electronics	https://en.wikipedia.org/wiki/Noise_(electronics)
Environment	https://en.wikipedia.org/wiki/Noise_pollution
Government regulation	https://en.wikipedia.org/wiki/Noise_regulation
Human health	https://en.wikipedia.org/wiki/Health_effects_from_noise
Images	https://en.wikipedia.org/wiki/Image_noise
Radio	https://en.wikipedia.org/wiki/Noise_(radio)
Rooms	https://en.wikipedia.org/wiki/Soundproofing
Ships	https://en.wikipedia.org/wiki/Noise_and_vibration_on_maritime_vessels
Sound masking	https://en.wikipedia.org/wiki/Sound_masking
Transportation	https://en.wikipedia.org/wiki/Noise_barrier
Video	https://en.wikipedia.org/wiki/Noise_(video)
Additive white Gaussian noise	https://en.wikipedia.org/wiki/Additive_white_Gaussian_noise
Atmospheric noise	https://en.wikipedia.org/wiki/Atmospheric_noise
Background noise	https://en.wikipedia.org/wiki/Background_noise
Brownian noise	https://en.wikipedia.org/wiki/Brownian_noise
Burst noise	https://en.wikipedia.org/wiki/Burst_noise
Cosmic noise	https://en.wikipedia.org/wiki/Cosmic_noise
Flicker noise	https://en.wikipedia.org/wiki/Flicker_noise
Gaussian noise	https://en.wikipedia.org/wiki/Gaussian_noise
Grey noise	https://en.wikipedia.org/wiki/Grey_noise
Infrasound	https://en.wikipedia.org/wiki/Infrasound
Jitter	https://en.wikipedia.org/wiki/Jitter
Johnson–Nyquist noise	https://en.wikipedia.org/wiki/Johnson%E2%80%93Nyquist_noise
Pink noise	https://en.wikipedia.org/wiki/Pink_noise
Quantization noise	https://en.wikipedia.org/wiki/Quantization_noise
Shot noise	https://en.wikipedia.org/wiki/Shot_noise
White noise	https://en.wikipedia.org/wiki/White_noise
Value noise	https://en.wikipedia.org/wiki/Value_noise
Gradient noise	https://en.wikipedia.org/wiki/Gradient_noise
Worley noise	https://en.wikipedia.org/wiki/Worley_noise
Channel noise level	https://en.wikipedia.org/wiki/Channel_noise_level
Circuit noise level	https://en.wikipedia.org/wiki/Circuit_noise_level
Effective input noise temperature	https://en.wikipedia.org/wiki/Effective_input_noise_temperature
Equivalent noise resistance	https://en.wikipedia.org/wiki/Equivalent_noise_resistance
Equivalent pulse code modulation noise	https://en.wikipedia.org/wiki/Equivalent_pulse_code_modulation_noise
Impulse noise (audio)	https://en.wikipedia.org/wiki/Impulse_noise_(audio)
Noise figure	https://en.wikipedia.org/wiki/Noise_figure
Noise floor	https://en.wikipedia.org/wiki/Noise_floor
Noise shaping	https://en.wikipedia.org/wiki/Noise_shaping
Noise spectral density	https://en.wikipedia.org/wiki/Noise_spectral_density
Noise, vibration, and harshness	https://en.wikipedia.org/wiki/Noise,_vibration,_and_harshness
Phase noise	https://en.wikipedia.org/wiki/Phase_noise
Pseudorandom noise	https://en.wikipedia.org/wiki/Pseudorandom_noise
Statistical noise	https://en.wikipedia.org/wiki/Statistical_noise
Carrier-to-noise ratio	https://en.wikipedia.org/wiki/Carrier-to-noise_ratio
Carrier-to-receiver noise density	https://en.wikipedia.org/wiki/Carrier-to-receiver_noise_density
dBrnC	https://en.wikipedia.org/wiki/DBrnC
Eb/N0	https://en.wikipedia.org/wiki/Eb/N0
Es/N0	https://en.wikipedia.org/wiki/Eb/N0#Relation_to_Es.2FN0
Modulation error ratio	https://en.wikipedia.org/wiki/Modulation_error_ratio
Signal, noise and distortion	https://en.wikipedia.org/wiki/SINAD
Signal-to-interference ratio	https://en.wikipedia.org/wiki/Signal-to-interference_ratio
Signal-to-noise ratio	https://en.wikipedia.org/wiki/Signal-to-noise_ratio
Signal-to-noise ratio (imaging)	https://en.wikipedia.org/wiki/Signal-to-noise_ratio_(imaging)
Signal-to-interference-plus-noise ratio	https://en.wikipedia.org/wiki/Signal-to-interference-plus-noise_ratio
Signal-to-quantization-noise ratio	https://en.wikipedia.org/wiki/Signal-to-quantization-noise_ratio
Contrast-to-noise ratio	https://en.wikipedia.org/wiki/Contrast-to-noise_ratio
List of noise topics	https://en.wikipedia.org/wiki/List_of_noise_topics
Acoustics	https://en.wikipedia.org/wiki/Acoustics
Colors of noise	https://en.wikipedia.org/wiki/Colors_of_noise
Interference (communication)	https://en.wikipedia.org/wiki/Interference_(communication)
Noise generator	https://en.wikipedia.org/wiki/Noise_generator
Spectrum analyzer	https://en.wikipedia.org/wiki/Spectrum_analyzer
Thermal radiation	https://en.wikipedia.org/wiki/Thermal_radiation
Low-pass filter	https://en.wikipedia.org/wiki/Low-pass_filter
Median filter	https://en.wikipedia.org/wiki/Median_filter
Total variation denoising	https://en.wikipedia.org/wiki/Total_variation_denoising
Wavelet denoising	https://en.wikipedia.org/wiki/Wavelet#Wavelet_denoising
Gaussian blur	https://en.wikipedia.org/wiki/Gaussian_blur
Anisotropic diffusion	https://en.wikipedia.org/wiki/Anisotropic_diffusion
Bilateral filter	https://en.wikipedia.org/wiki/Bilateral_filter
Non-local means	https://en.wikipedia.org/wiki/Non-local_means
Block-matching and 3D filtering	https://en.wikipedia.org/wiki/Block-matching_and_3D_filtering
Shrinkage Fields	https://en.wikipedia.org/wiki/Shrinkage_Fields_(image_restoration)
Denoising autoencoder	https://en.wikipedia.org/wiki/Autoencoder#Denoising_autoencoder_(DAE)
Deep Image Prior	https://en.wikipedia.org/wiki/Deep_Image_Prior
https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&oldid=1359832274	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&oldid=1359832274
Categories	https://en.wikipedia.org/wiki/Help:Category
Digital signal processing	https://en.wikipedia.org/wiki/Category:Digital_signal_processing
Computer graphic artifacts	https://en.wikipedia.org/wiki/Category:Computer_graphic_artifacts
Digital audio	https://en.wikipedia.org/wiki/Category:Digital_audio
Noise (electronics)	https://en.wikipedia.org/wiki/Category:Noise_(electronics)
Signal processing	https://en.wikipedia.org/wiki/Category:Signal_processing
Telecommunication theory	https://en.wikipedia.org/wiki/Category:Telecommunication_theory
Data compression	https://en.wikipedia.org/wiki/Category:Data_compression
CS1: long volume value	https://en.wikipedia.org/wiki/Category:CS1:_long_volume_value
Articles with short description	https://en.wikipedia.org/wiki/Category:Articles_with_short_description
Short description matches Wikidata	https://en.wikipedia.org/wiki/Category:Short_description_matches_Wikidata
Use American English from April 2019	https://en.wikipedia.org/wiki/Category:Use_American_English_from_April_2019
All Wikipedia articles written in American English	https://en.wikipedia.org/wiki/Category:All_Wikipedia_articles_written_in_American_English
Creative Commons Attribution-ShareAlike 4.0 License	https://en.wikipedia.org/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License
Terms of Use	https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use
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Wikimedia Foundation, Inc.	https://wikimediafoundation.org/
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About Wikipedia	https://en.wikipedia.org/wiki/Wikipedia:About
Disclaimers	https://en.wikipedia.org/wiki/Wikipedia:General_disclaimer
Contact Wikipedia	https://en.wikipedia.org/wiki/Wikipedia:Contact_us
Legal & safety contacts	https://foundation.wikimedia.org/wiki/Special:MyLanguage/Legal:Wikimedia_Foundation_Legal_and_Safety_Contact_Information
Code of Conduct	https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct
Developers	https://developer.wikimedia.org
Statistics	https://stats.wikimedia.org/#/en.wikipedia.org
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Mobile view	https://en.wikipedia.org/w/index.php?title=Quantization_(signal_processing)&mobileaction=toggle_view_mobile
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