Reduction of the gradient noise in adaptive algorithm for adaptive noise canceller with parallel block structure

Abstract

An adaptive algorithm for detecting single sinusoid of unknown frequency corrupted by Gaussian noise was proposed in 1989 by Nishimura et al. using IIR band pass filter with a variable center frequency and parallel block structure for fast processing [1]. In 1996 the adaptive algorithm was investigated and solved the problem of several input frequency being impossible to converge using the new algorithm proposed by Takahashi et al. [2]. However, the control signal generated by the new algorithm used for adjusting the center frequency of band pass filter is still rattled in spite of its converge. In this paper, in addition to using output in adaptive algorithm as proposed, the input signal is used as auxiliary or reference signal. By mean of this way the rattle on the control signal can be reduced significantly with the same convergence rate and a few computation complexity added to it.