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A robust variable step-size LMS-like algorithm for a second-order adaptive IIR notch filter for frequency detection
Author(s)
Punchalard, R.
Benjangkaprasert, C.
Anantrasirichai, N.
Janchitrapongvej, K.
Date Issued
January 1, 2001
Type
Conference Paper
Abstract
The best adaptive algorithm requires fast convergence speed, low variance, unbias and low steady-state mean square error (MSE) in both low and high signal-to-noise ratio (SNR) situations. We have proposed a robust variable step-size LMS-like algorithm (VS-LMS-L) for a second-order adaptive IIR notch filter for frequency detection in radar, sonar and communication systems. This algorithm is compared with the conventional LMS-like algorithm called the plain gradient algorithm (PG). The time-varying step-size μ(n) is adjusted by using the square of the time-averaged estimate of autocorrelation of the present output signal y(n) and the past one y(n-1). This technique can reject the effect of the uncorrelated noise sequence on the step-size update, resulting in a small MSE due to the small final μ(n). Moreover, this algorithm can also improve the convergence speed by comparison with the PG at the same MSE value.
Citation
IEEE Workshop on Signal Processing Advances in Wireless Communications Spawc, 2001-January, 232-234, 2001