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A New Data-Reusing Algorithm Based on Minimum Norm and Minimum Disturbance Principles

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Abstract

Aiming to accelerate convergence speed and reduce steady-state misalignment of adaptive filter, a new data-reusing algorithm is proposed. Different from conventional affine projection algorithm (APA) based on minimum disturbance principle (MDP), the proposed algorithm obtains its cost function based on a convex combination of the minimum norm principle (MNP) and the MDP. Weight factor (named as mixing parameter) used in the combination determines the approach for updating. The proposed algorithm has a performance similar to the APA when the mixing parameter closes to 0 and yields results to the data-reusing algorithm based on the MNP if the mixing parameter closes to 1. By minimizing mean-square deviation, the variable mixing parameter has a large value at initial stage and gradually decreases as iteration number increases. At the initial stage, the proposed algorithm achieves fast convergence since the MNP plays a leading role. At the steady-state, the proposed algorithm obtains a low misalignment since the MDP gives a major impact and the updated results have minimum disturbance from the previous ones. At the transition stage, the proposed algorithm is a combination of the APA and the MNP-based data-reusing algorithm. Simulation results show that the proposed algorithm exhibits faster convergence rate and lower steady-state misalignment than some other derivatives of the APA without significantly increasing computational complexity.

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Authors and Affiliations

  1. University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, China

    Chunhui Ren, Zuozhen Wang & Zhiqin Zhao

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  1. Chunhui Ren
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  2. Zuozhen Wang
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  3. Zhiqin Zhao
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Correspondence to Chunhui Ren.

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Ren, C., Wang, Z. & Zhao, Z. A New Data-Reusing Algorithm Based on Minimum Norm and Minimum Disturbance Principles. Circuits Syst Signal Process 36, 1948–1969 (2017). https://doi.org/10.1007/s00034-016-0387-3

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  • DOI: https://doi.org/10.1007/s00034-016-0387-3

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