Gain‐phase analysis of digital filters with applications

Abstract The article includes two fundamental sets of relations for minimum phase digital filters; the one set defines the relations between the gain and phase components, and the other set defines the relations between the group delay and gain slope components of the pulse transfer function of the filter. Two applications of these relations are considered: (i) Graphical computation of the phase characteristic of a digital filter with a prescribed gain characteristic. (ii) Computation of the gain characteristic of a linear phase digital filter.