On the implementation of the frequency-domain LMS adaptive filter

Alternative implementations for the frequency-domain LMS adaptive filter are presented. One of the implementations uses an LMS steepest-descent algorithm to compute the discrete Fourier transform (DFT). Therefore, the frequency-domain LMS adaptive filter is implemented as a cascade of two parts, with each one running the LMS adaptive algorithm. This requires fewer computations than the FFT for large filter lengths. Simulations of practical applications of frequency-domain LMS adaptive filters are carried out to determine their suitability, and comparisons are made with simulations using the FFT. For real input data, another frequency-domain LMS adaptive filter is suggested based on the discrete Hartley transform (DHT)