Optimum filter design based on the improved Affine Projection algorithm in the application of noise removal from ECG signals

Document Type : Original Article

Authors

1 Master's student, Imam Hossein University, Tehran, Iran

2 Assistant Professor, Imam Hossein University, Tehran, Iran

3 Master's degree, Tarbiat Modares University, Tehran, Iran

Abstract

In telecommunication systems, noise is always an unwanted signal that is combined with the fundamental signal and will cause the loss of quality and change the parameters of the desired signal. One of the ways to noise cancellation is to use an adaptive filter. The optimal and efficient design of adaptive filters is an important and challenging process because these filters, unlike non-adaptive filters, require repeated calculations to reach optimal weights. In this article, the new proposed APA algorithm is presented. The APA algorithm is presented to deal with the challenge of reducing the convergence speed of the NLMS algorithm. To increase the convergence speed of the APA algorithm, we extend the cut LMS and RLS algorithm to the APA algorithm, which achieves the APA algorithm. Also, the computational complexity of the proposed APA algorithm has been calculated and compared with the conventional APA algorithm. The advantage of the proposed method, in addition to increasing the speed of convergence, will be a significant reduction in computational complexity. Therefore, the use of the proposed APA method, compared to the conventional APA method, is associated with a reduction in computational complexity and a reduction in processor resources. In the proposed APA algorithm, compared to the conventional APA algorithm, for different values of P, L and β, the reduction rate of multiplication operation is more than 45% and the reduction rate of addition operation is more than 40%.

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History

  • Receive Date: 18 April 2025
  • Revise Date: 02 June 2025
  • Accept Date: 16 June 2025
  • Publish Date: 11 July 2025

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