Title :
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
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;
Conference_Titel :
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN :
0-7803-8251-X
DOI :
10.1109/ISCAS.2004.1328735
