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{"@context":"https://schema.org","@type":"DiscussionForumPosting","headline":"Compensation for bilinear transform distortion of filter frequency response","articleBody":"The use of the bilinear transform to derive filter coefficients (such as in `signal.weigh`) distorts the output frequency response from the desired analog response. This effect is negligible at lower frequencies, but becomes quite significant at higher ones, for example f4 = 12194 Hz in the IEC 61672-1 A-weighting filter.\r\n\r\nAnalytical techniques for compensating for the bilinear transform distortion can be found in:\r\n\r\nRimell A N et al, 2015. Design of digital filters for frequency weightings (A and C) required for risk assessments of workers exposed to noise. _Industrial Health_, 53, 21-27\r\n\r\nand:\r\n\r\nWhite, P R and Hammond, J K, 2004. Signal processing techniques. In: _Advanced Applications in Acoustics, Noise and Vibration_, chapter 1 (Fahy F and Walker, J, eds). Spon Press.","author":{"url":"https://github.com/mlotinga","@type":"Person","name":"mlotinga"},"datePublished":"2020-02-20T11:33:54.000Z","interactionStatistic":{"@type":"InteractionCounter","interactionType":"https://schema.org/CommentAction","userInteractionCount":1},"url":"https://github.com/241/python-acoustics/issues/241"}