Steady-state analysis of adaptive notch filter for detection of multiple sinusoids

Author

Nishimura, Shotaro ; Kim, Jeong Kuk ; Hirano, Kotaro

Author_Institution

Fac. of Eng., Kobe Univ., Japan

fYear

1990

fDate

1-3 May 1990

Firstpage

3162

Abstract

A mean square error analysis of the steady-state coefficient fluctuations of cascade infinite impulse response (IIR) adaptive notch filters is presented. It is useful for the detection of multiple sinusoids with additive white Gaussian noise. Assuming that the frequency separation between the sinusoids is large relative to the bandwidth of each notch filter, it is shown that the estimate error of the variable coefficient of each section can be studied by using first-order ordinary difference equations with stochastic input. The mean square errors of the steady-state coefficient fluctuations are derived in simple closed-form for gradient and normalized gradient algorithms. The results of computer simulations are presented to substantiate the analysis

Keywords

adaptive filters; difference equations; error analysis; filtering and prediction theory; notch filters; AWGN; adaptive notch filter; additive white Gaussian noise; cascade IIR filters; computer simulations; estimate error; first-order ordinary difference equations; infinite impulse response; mean square error analysis; multiple sinusoids detection; normalized gradient algorithms; steady-state coefficient fluctuations; stochastic input; variable coefficient; Adaptive filters; Additive white noise; Bandwidth; Computer errors; Error analysis; Fluctuations; Frequency estimation; IIR filters; Mean square error methods; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1990., IEEE International Symposium on

Conference_Location

New Orleans, LA

Type

conf

DOI

10.1109/ISCAS.1990.112683

Filename

112683