M-Path Non-Maximally Decimated Analysis Channelizer Implemented with 3M/4 Resampling Commutator

Coupled multirate signal processing algorithms can form a capable M-channel analysis filter bank. The bank uses an M-point IDFT to identify M channel center frequencies lo-cated at multiples of fs/M and separated by fs/M, an M-path fil-ter that form the passband filters at each of the M center fre-quencies, and an input commutator that delivers successive in-put samples to the input ports of the M-path filter. The resampling operation performed by the input commutator ali-ases the time series of spectra at the multiple center frequency bands to baseband. In one realization, the maximally decimated filter bank, each of the M output time series has spectral spans and sample rates equal to fs/M. The channelizer can be modified in many ways. These include change of input-to-output resampling ratios such as of M-to-1, of M/2-to-1, and of 3M/4- to-1. The corresponding output sample rates are fs/M, 2fs/M, and (4/3)fs/M. The different resampling ratios require minor modifications to the channelizer structure. We present and compare implementations of channelizers with the three resampling ratios cited above and address the motivation and benefits of each option.