Title :
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
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;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112683
