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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 of limited wordlength of the signal processor. On the basis of a roundoff error analysis a new recursive digital filter structure will be compared with already known filter structures, especially for very low cutoff frequencies. With the help of additional zeroes in the noise transfer functions (Error Spectrum Shaping) a further reduction of roundoff noise and the suppression of limit cycles can be achieved.

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