Performance analysis of adaptive IIR notch filters based on least mean P-power error criterion

Maha Shadaydeh, Masayuki Kawamata

Research output: Contribution to journalConference article

2 Citations (Scopus)

Abstract

In this paper, we present the steady state analysis of adaptive IIR notch filters based on the least mean p-power error criterion. We consider the cases when the sinusoidal signal is contaminated with white Gaussian noise and p = 3,4. We first derive two difference equations for the convergence of the mean and the Mean Square Error (MSE) of the adaptive filter's notch coefficient, and then give the steady state estimation bias and MSE. Stability conditions on the step size value are also derived. Simulation experiments are presented to confirm the validity of the obtained analytical results. It is shown that the notch coefficient steady state bias of the p-power algorithm for small step size values is independent of the step size value and is equal for p -1, 2, 3 and 4. However, for larger step size values, the p-power algorithm with p = 3 provides the best performance in term of the MSE.

Original languageEnglish
Pages (from-to)IV377-IV380
JournalProceedings - IEEE International Symposium on Circuits and Systems
Volume4
Publication statusPublished - 2003 Jul 14
EventProceedings of the 2003 IEEE International Symposium on Circuits and Systems - Bangkok, Thailand
Duration: 2003 May 252003 May 28

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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