[Show abstract][Hide abstract] ABSTRACT: In this paper, the combination of genetic algorithm and a new variable step-size algorithm for a second-order adaptive IIR notch filter is presented. The objective of the new algorithm is to optimize the filter coefficient. The results of computer simulation show that the new algorithm provides a good performance such as fast convergence rate, low mean square error and noise robustness. In addition, the new algorithm is also applied to cancel 50-Hz power line interference in the recording of electrocardiograms signal.
[Show abstract][Hide abstract] ABSTRACT: This paper presents a new class of gradient-based algorithm for second-order IIR adaptive notch filters (ANF); the algorithm is based on least mean p-power (LMP) error criterion. The variable step-size technique is used to detect high convergence speed and high impulse noise robustness. It is proved here that the proposed algorithm has good properties in both cases, when compared with the previous one (Punchalard et al. 2000). Simulation results are presented to demonstrate the effectiveness of the proposed algorithm.
[Show abstract][Hide abstract] ABSTRACT: In this paper, a new class of gradient-based algorithm by using variable step-size technique for a second-order adaptive IIR notch filter is presented. An adaptation step-size parameter for the algorithm is worked out from the output signal and the gradient signal. The adaptive algorithm is used for detection of a sinusoid with additive white Gaussian noise, impulse noise and cancellation of 50-Hz interference in the recording of electrocardiogram signals. The performance of this algorithm is proved here to give high convergence speed, high impulse noise robustness and good efficiency of 50-Hz interference cancellation. Finally, the results of computer simulation are given to demonstrate the performance of the proposed algorithm for the adaptive IIR notch filter.