A steady-state analysis of adaptive notch filters realized with fixed-point arithmetic

Author

Nishimura, Shotaro

Author_Institution

Dept. of Comput. Sci., Shimane Univ., Matsue, Japan

fYear

1993

fDate

3-6 May 1993

Firstpage

854

Abstract

A mean square error analysis is presented of the steady-state coefficient fluctuation of infinite impulse response (IIR) adaptive notch filters realized with fixed-point arithmetic. The reduction of quantization noise by means of error spectrum shaping is discussed. The variances of coefficient error due to quantization noise are derived in simple closed-form for gradient and normalized gradient algorithms. The results of computer simulations are presented to substantiate the analysis

Keywords

IIR filters; adaptive filters; approximation theory; digital arithmetic; digital filters; error analysis; filtering theory; notch filters; quantisation (signal); IIR filters; adaptive notch filters; coefficient error; error spectrum shaping; fixed-point arithmetic; gradient algorithms; infinite impulse response; mean square error analysis; quantization noise; steady-state analysis; steady-state coefficient fluctuation; Adaptive filters; Computer errors; Error analysis; Fixed-point arithmetic; Fluctuations; IIR filters; Mean square error methods; Noise shaping; Quantization; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on

Conference_Location

Chicago, IL

Print_ISBN

0-7803-1281-3

Type

conf

DOI

10.1109/ISCAS.1993.393857

Filename

393857