Allpassphase |best| Today
[ H(z) = \fraca + z^-11 + a z^-1, \quad |a| < 1 ]
The phase is given by:
1. Introduction In signal processing, most filters are designed to modify the magnitude of a signal’s frequency components — boosting bass, cutting treble, or removing noise. But there exists a special class of filters that leaves the magnitude spectrum completely untouched while selectively shifting the phase of different frequencies. These are called all-pass filters . allpassphase
[ H(z) = \fracz^-N - a_1 z^-(N-1) - \dots - a_N1 + a_1 z^-1 + \dots + a_N z^-N ] [ H(z) = \fraca + z^-11 + a
[ \phi(\omega) = -\omega - 2 \arctan\left( \fraca \sin \omega1 + a \cos \omega \right) ] \quad |a| <