Hybrid stochastic gradient for convergence of adaptive filters

Abstract From the Canadian patent

The present invention provides a technique for updating the coefficients a(n) of an adaptive filter impulse response A(n), where, A'(n) = (a0(n) a1(n) . . . am(n)) is the adaptive filter impulse response at time n. The impulse response is utilized for tracking the output y(n) of a communications channel, where y(n) = , where H is an unknown impulse response of the channel H' = (h0 h1 . . . hm), the ' character denoting transposition. The channel is driven with a known input signal S(n), where S'(n) = (s(n) s(n-1) . . . s(n-m)). According to the technique the output x(n) of an, adaptive filter where, x(n) = S'(n) A(n), is compared with the channel output y(n) according to the Least Mean …