The new direct approach to designing PCLS transmit-receive filters

In previous Asilomar 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, wavelet scaling filters, multirate filters, and general cascaded filters. The algorithms are based on the peak-constrained least-squares (PCLS) optimality criterion. In this Asilomar paper we introduce new algorithms to design digital data communication transmit and receive filters directly. This eliminates the need to design a valid M-band filter which is then decomposed into the transmit and receive filters. The new algorithms are based on the RGME algorithm.