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A Perspective on Stereophonic Acoustic Echo CancellationSystem Identification with the Wiener Filter

A Perspective on Stereophonic Acoustic Echo Cancellation: System Identification with the Wiener... [The main objective of SAEC is to identify the four acoustic impulse responses, ht, ll, ht, rl, ht, lr, ht, rr, or, equivalently, the complex acoustic impulse response, h̃t, of the stereophonic system. In this chapter, we show how to estimate h̃t with the Wiener approach [1], which has been extremely useful in many problems, in general, and in echo cancellation, in particular. The Wiener filter is derived from the mean-square error (MSE) criterion. We will discuss the well-known nonuniqueness problem that occurs in SAEC but reformulated in the WL model context. Because of this problem, some pre-processing of the complex input signal may be necessary. We also study, in the context of SAEC, the deterministic algorithm, which is an iterative approach to find the Wiener filter. Finally, we end this chapter by discussing the regularized MSE criterion, which can be very useful for the derivation of filters that promote sparsity. This approach has the potential to solve the SAEC problem without distorting the input signals.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Perspective on Stereophonic Acoustic Echo CancellationSystem Identification with the Wiener Filter

Part of the Springer Topics in Signal Processing Book Series (volume 4)
Benesty, Jacob; Paleologu, Constantin; Gänsler, Tomas; Ciochină, Silviu
Springer Journals — Jan 1, 2011
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14 pages

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Publisher
Springer Berlin Heidelberg
Copyright
© Springer-Verlag GmbH Berlin Heidelberg 2011
ISBN
978-3-642-22573-4
Pages
13 –27
DOI
10.1007/978-3-642-22574-1_3
Publisher site
See Chapter on Publisher Site

Abstract

[The main objective of SAEC is to identify the four acoustic impulse responses, ht, ll, ht, rl, ht, lr, ht, rr, or, equivalently, the complex acoustic impulse response, h̃t, of the stereophonic system. In this chapter, we show how to estimate h̃t with the Wiener approach [1], which has been extremely useful in many problems, in general, and in echo cancellation, in particular. The Wiener filter is derived from the mean-square error (MSE) criterion. We will discuss the well-known nonuniqueness problem that occurs in SAEC but reformulated in the WL model context. Because of this problem, some pre-processing of the complex input signal may be necessary. We also study, in the context of SAEC, the deterministic algorithm, which is an iterative approach to find the Wiener filter. Finally, we end this chapter by discussing the regularized MSE criterion, which can be very useful for the derivation of filters that promote sparsity. This approach has the potential to solve the SAEC problem without distorting the input signals.]

Published: Jan 1, 2011

Keywords: Impulse Response; Natural Mode; Deterministic Algorithm; Wiener Filter; Stereophonic System

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