Title :
Tracking analysis of an adaptive IIR notch filter using gradient-based algorithm
Author :
Mvuma, Aloys ; Nishimura, Shotaro ; Hinamoto, Takao
Author_Institution :
Telecommun. Eng. Dept., Univ. of Dar es Salaam, Dar es Salaam
Abstract :
This paper presents tracking analysis of a gradient-based simplified algorithm for an allpass filter-based adaptive infinite impulse response (IIR) notch filter with a linear chirp input signal. A first-order difference equation with respect to steady-state instantaneous frequency tracking error is derived first. Then tracking error mean, variance and mean square error (MSE) are derived from the difference equation using the power spectral density (PSD) method. Computer simulation results are presented to validate the analysis.
Keywords :
IIR filters; adaptive filters; difference equations; mean square error methods; notch filters; adaptive IIR notch filter; allpass filter-based adaptive notch filter; error mean tracking; first-order difference equation; gradient-based simplified algorithm; infinite impulse response notch filter; linear chirp input signal; mean square error tracking; power spectral density; steady-state instantaneous frequency tracking error; tracking analysis; variance square error tracking; Adaptive filters; Algorithm design and analysis; Chirp; Computer errors; Difference equations; Frequency; IIR filters; Nonlinear filters; Signal analysis; Steady-state;
Conference_Titel :
Circuits and Systems, 2008. ISCAS 2008. IEEE International Symposium on
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-1683-7
Electronic_ISBN :
978-1-4244-1684-4
DOI :
10.1109/ISCAS.2008.4541626
