We consider the LMS estimation of a channel that may be well approxima
ted by an FIR model with only a few nonzero tap coefficients within a
given delay horizon or tap length n. When the number of nonzero tap co
efficients m is small compared with the delay horizon n, the performan
ce of:the LMS estimator is greatly enhanced when this specific structu
re is exploited. We propose a consistent algorithm that performs ident
ification of nonzero taps only. The results are illustrated via a simu
lation study.