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Adaptive Equalization of Frequency Response of Acoustic Wave Propagation Channels in Closed Rooms  

Authors
 Djigan V.I.
Date of publication
 2022
DOI
 10.31114/2078-7707-2022-2-61-68

Abstract
 This paper presents the method of the adaptive equalization of the frequency responses of the acoustic wave propagation channels. The equalizer architecture is based on the usage of the modified x-filtered adaptive signal processing algorithms. Comparing to the traditional x-filtered algorithms, the modified ones allow to accelerate the equalizer convergence if the computationally simple algorithms like the Least Means Square ( LMS) or the Normalized LMS ( NLMS) are used for the equalizer weights computation. Besides, the modification allows to use the computationally complex but efficient Recursive Least Squares (RLS) adaptive algorithms in the x-filtered equalizers because the algorithms cannot be used in the traditional x-filtered equalizers. The multichannel equalizer architecture and the computational procedures of the traditional and modified adaptive filtering algorithms are presented. The equalizers unsure about 2 dB ripples in the main part of the equalized frequency response of the acoustic channel except the low and high frequency regions. The equalization quality degrades in the high frequency region in the case of the NLMS algorithm usage. Despite of that, the power spectral density of the undistorted speech signal and the speech signal passed thought the equalizer and acoustical channel are close each other if the RLS or NLMS algorithms are used. The proposed solution can be easily extended to the Multi-Input and Multi-Output (MIMO) equalizers. The MIMO equalizers allow to improve the quality of the sound listening in the multiple points of a room.
Keywords
 room response, equalization, adaptive filter, LMS, NLMS, RLS, traditional x-filtered algorithm, modified x-filtered algorithm.
Library reference
 Djigan V.I. Adaptive Equalization of Frequency Response of Acoustic Wave Propagation Channels in Closed Rooms // Problems of Perspective Micro- and Nanoelectronic Systems Development - 2022. Issue 2. P. 61-68. doi:10.31114/2078-7707-2022-2-61-68
URL of paper
 http://www.mes-conference.ru/data/year2022/pdf/D011.pdf

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