New optimization algorithms for multirate and cascaded filters

In previous papers we introduced the generalized multiple exchange (GME) algorithm to design linear phase FIR filters, and the recursive GME (RGME) algorithm to design digital IIR filters, analog filters, nonlinear phase FIR filters, and wavelet scaling filters. The algorithms are based on the peak-constrained least-squares (PCLS) optimality criterion. In this paper we introduce four new algorithms to design specialized multirate filters and other cascaded filters. The new algorithms are based on the GME and RGME algorithms. The filters designed are specialized multirate filters, interpolated FIR (IFIR) filters, hybrid analog-digital anti-aliasing filters and prefilter/equalizer linear phase FIR filters.