MSE analysis of an allpass filter-based adaptive IIR notch filter with a normalized algorithm

Author

Mvuma, Aloys ; Nishimura, Shotaro ; Hinamoto, Takao

Author_Institution

Graduate Sch. of Eng., Hiroshima Univ., Japan

Volume

3

fYear

2004

fDate

23-26 May 2004

Abstract

In this paper, we present an improved technique for mean-squared error (MSE) analysis of a normalized gradient algorithm (NGA) for a second-order adaptive infinite impulse response (IIR) notch filter based on an allpass filter. An analytical expression for the MSE is derived by accurately approximating the power spectral density (PSD) of the fluctuation of the steady-state variable coefficient about its mean value. Accuracy of the expression is compared with expressions derived from previous techniques. To verify the analysis, simulations are presented.

Keywords

IIR filters; adaptive filters; all-pass filters; gradient methods; mean square error methods; notch filters; IIR notch filter; allpass filter; infinite impulse response filter; mean-squared error analysis; normalized gradient algorithm; power spectral density; steady-state variable coefficient; Adaptive filters; Algorithm design and analysis; Analytical models; Error analysis; Finite impulse response filter; Fluctuations; Frequency; IIR filters; Steady-state; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on

Print_ISBN

0-7803-8251-X

Type

conf

DOI

10.1109/ISCAS.2004.1328735

Filename

1328735