Polyphase channelizer performs sample rate change required for both matched filtering and channel frequency spacing

We present here the design and implementation of a polyphase filter bank channelizer with an embedded square-root shaping filter in its polyphase engine that performs two different resampling tasks required for the spectral shaping and for the M-channel channelization. In particular, in the example we cite, the shaping filter performs 1-to-48 resampling from input symbol rate to output sample rate while the IFFT performs 1-to-40 resampling to form a 40 channel channelizer.