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Roundoff Error Analysis of Digital Filters

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Digital filtering of audio signals in professional mixing consoles requires low-roundoff-noise digital filter structures which are suitable for realizing very low pole frequencies. Without appropriate choice of the digital filter structure the effects oflimited word length lead to high necessary internal word length of the signal processor. On the basis of a roundoff error analysis a new recursive digital filter structure is compared with already known filter structures, especially for very low cutoff frequencies. With the help of additional zeros in the noise transfer functions (error spectrum shaping) a further reduction of roundoff noise and the suppression of limit cycles can be achieved.

JAES Volume 42 Issue 4 pp. 232-244; April 1994
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AES - Audio Engineering Society