Summary of Adaptive Filtering Methods **new** 2003/07/11 14:19:41.771 GMT-5 2003/08/01 11:27:22.984 GMT-5 Douglas L. Jones dl-jones@uiuc.edu Douglas L. Jones dl-jones@uiuc.edu Kyle Clarkson kclarks@rice.edu LMS remains the simplest and best algorithm when slow convergence is not a serious issue (typically used) O N NLMS simple extension of the LMS with much faster convergence in many cases (very commonly used) O N Frequency-domain methods offer computational savings ( O N ) for long filters and usually offer faster convergence, too (sometimes used; very commonly used when there are already FFTs in the system) Lattice methods are stable and converge quickly, but cost substantially more than LMS and have higher residual EMSE than many methods (very occasionally used) O N RLS algorithms that converge quickly and are stable exist. However, they are considerably more expensive than LMS. (almost never used) O N Block RLS (least squares) methods exist and can be pretty efficient in some cases. (occasionally used) O N , O N , O N 2 IIR methods are difficult to implement successfully and pose certain difficulties, but are sometimes used in some applications, for example noise cancellation of low frequency noise (very occasionally used) CMA very useful when applicable (blind equalization); CMA is the method for blind equalizer initialization (commonly used in a few specific equalization applications) O N In general, getting adaptive filters to work well in an application is much more challenging than, say, FFTs or IIR filters; they generally require lots of tweaking! B. Widrow and S.D. Stearns Adaptive Signal Processing Prentice-Hall 1985 Good on applications, LMS C.F.N. Cowan and P.M. Grant Adaptive Filters Prentice-Hall 1985 Good overview of lots of topics J.R. Treichler, C.R. Johnson and M.G. Larimore Theory and Design of Adaptive Filters Wiley-Interscience 1987 Good introduction to adaptive filtering, CMA; nice coverage of hardware M.L. Honig and D.G. Messerschmidt Adaptive Filters: Structures, Algorithms, and Applications Kluwer 1984 Good coverage of lattice algorithms S. Haykin Adaptive Filters Theory Prentice-Hall 1986 Nice coverage of adaptive filter theory; Good reference