Adaptive transfer function estimating method and estimating device using the same

Abstract From the Canadian patent

In an adaptive estimation of a transfer function of an unknown system, a forward linear prediction coefficient vector a(k) of an input signal x(k) the sum, of forward a posteriori prediction-error squares F(k) a, backward linear prediction coefficient vector b(k) of the input signal x(k) and the sum of backward a posteriori prediction-error squares B(k) are computed. Letting a step size and a pre-filter deriving coefficient vector be represented by µ and f(k), respectively a pre-filter, coefficient vector g(k) is calculated by a recursion formula for the pre-filter coefficient vector g(h) which, is composed of the following first and second equations: