Transmultiplexers used as adaptive frequency sampling filters

Adaptive linear filters are used in a large number of signal processing problems. The motivation for the work presented is the requirement for efficient algorithms for adaptive filters. It is shown that the application of transmultiplexers in a frequency sampling adaptive filter (FSF) yields a solution that is more efficient than direct least means square (LMS) or block FFT techniques. FSF techniques are preferred to FIR LMS filtering when modeling of the environment can be most easily defined in the frequency domain. Advantages and disadvantages are discussed in the conclusion.