Patent ID: 7415495

Claim:
A computer-implemented method of designing a customized filter for communication systems having nearly ideal responses in both gain and phase or gain and time, comprising the steps of: choosing a first set of complex frequency poles from a first location and a second set of complex frequency poles from a second location when a desired passband phase of the filter is linear while preserving the desired magnitude response; and normalizing said first and second sets of complex frequency poles from said first location and said second location to obtain a new proportional complex pole constellation by: determining weighting factors by varying the weighting factors until a computed stopband gain and a passband phase both meet system requirements of nearly ideal responses, multiplying said first and second sets of complex frequency poles by the weighting factors to calculate the new proportional complex pole constellation, wherein the new proportional complex pole constellation defines the customized filter, the customized filter having nearly ideal responses in both gain and phase or gain and time.