Abstract: An apparatus for reducing a digital filter delay includes means for determining the magnitude response of a desired filter. Means form the real cepstrum of this magnitude response. Means transform the real cepstrum into a complex cepstrum of a corresponding minimum-phase filter having the same magnitude response as the desired filter. A filter applies a smoothly decaying shaping window to the complex cepstrum. Means transform the shaped complex cepstrum into an estimated minimum-phase filter.

Abstract: An apparatus for reducing a digital filter delay includes means for determining the magnitude response of a desired filter. Means form the real cepstrum of this magnitude response. Means transform the real cepstrum into a complex cepstrum of a corresponding minimum-phase filter having the same magnitude response as the desired filter. A filter applies a smoothly decaying shaping window to the complex cepstrum. Means transform the shaped complex cepstrum into an estimated minimum-phase filter.

Abstract: A pure echo delay estimate of an echo path impulse response estimate represented by echo canceller filter coefficients is calculated. This is done by incrementing (S9) an assumed pure delay m, where m is a positive integer representing an offset of m filter coefficients into the echo path impulse response estimate, until (S8′) a predetermined filter coefficient dependent decision function exceeds a predetermined threshold function, and by representing (S10) the pure delay by the smallest integer mSTART that makes the decision function exceed the threshold function.