Twisted Filter Banks for Communication Applications

We present a novel class of multirate filter banks that are based on a special class of time-varying filters. The filter operations are done by modifying the usual convolution operations with a twist. We will show that the filter banks allow perfect reconstruction, in spite of the fact that the filters are time-varying and the arithmetic is over finite fields. We prove that the one-dimensional twisted convolutions over finite fields are of a particularly simple form, which allows an efficient implementation.