Title :
State-space approach to steady-state analysis of adaptive IIR notch filters
Author :
Mvuma, Aloys ; Nishimura, Shotaro ; Hinamoto, Takao
Author_Institution :
Dept. of Telecommun. Eng., Dar es Salaam Univ., Tanzania
Abstract :
In this paper we propose a novel state-space approach to steady-state analysis of a gradient algorithm (GA) for a second-order adaptive infinite impulse response (IIR) notch filter. A general expression for the sinusoid frequency estimation mean square error (MSE) in terms of state-space matrices of a third-order complex-coefficient system is presented. A closed form expression is then derived from the general expression and computer simulation results are included to confirm its accuracy.
Keywords :
IIR filters; adaptive filters; frequency estimation; gradient methods; mean square error methods; notch filters; state-space methods; adaptive infinite impulse response notch filter; closed form expression; complex-coefficient system; computer simulation; gradient algorithm; mean square error; sinusoid frequency estimation; state-space approach; steady-state analysis; Adaptive filters; Closed-form solution; Computer simulation; Estimation error; Frequency estimation; Genetic expression; IIR filters; Programmable control; Steady-state; Transfer functions;
Conference_Titel :
Circuits and Systems, 2005. 48th Midwest Symposium on
Print_ISBN :
0-7803-9197-7
DOI :
10.1109/MWSCAS.2005.1594243
