Steady-state performance analysis of the convex combination algorithm of frequency-domain adaptive filters

doi:10.16411/j.cnki.issn1006-7736.2020.03.015

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Journal of Dalian Maritime University ›› 2020, Vol. 46 ›› Issue (3) : 124-130. DOI: 10.16411/j.cnki.issn1006-7736.2020.03.015

HOU Xin, LIN Bin^*, AN Yu-kun

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Abstract

In order to further study the steady-state performance of the convex combination algorithm of frequency-domain adaptive filters (COSFDAF), a method to analyze the performance of the frequency-domain adaptive filtering (FDAF) was proposed. Different from the traditional method of using average weight error vector and state recursive equation of weight error covariance matrix to analyze the performance of adaptive algorithm, the closed analytic expression of steady state mean square error (MSE) of COSFADAF algorithm was obtained by deducing the energy conservation relationship of frequency domain adaptive filter and using separation hypothesis. The simulation results show that the simulation value of the steady MSE of COSFDAF algorithm matches the theoretical value well whether in the case of Gaussian noise input or correlated Gaussian noise input, which verifies the accuracy of the theoretical analysis.

Key words

adaptive filter / convex combination algorithm of frequencydomain adaptive filter( COSFDAF) / energy conservation / steady-state performance / mean square error（MSE）

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HOU Xin, LIN Bin, AN Yu-kun. Steady-state performance analysis of the convex combination algorithm of frequency-domain adaptive filters[J]. Journal of Dalian Maritime University. 2020, 46(3): 124-130 https://doi.org/10.16411/j.cnki.issn1006-7736.2020.03.015

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