Title :
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
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;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.393857
