By Jacob Benesty, Constantin Paleologu, Tomas Gänsler, Silviu Ciochină
Single-channel hands-free teleconferencing platforms have gotten well known. with a view to increase the communique caliber of those platforms, increasingly more stereophonic sound units with loudspeakers and microphones are deployed. as a result of coupling among loudspeakers and microphones, there's robust echoes, which make real-time verbal exchange very tricky. the way we all know to cancel those echoes is through a stereo acoustic echo canceller (SAEC), that are modelled as a two-input/two-output method with actual random variables. during this paintings, the authors recast this challenge right into a single-input/single-output method with complicated random variables due to the commonly linear version. From this new handy formula, they re-derive crucial facets of a SAEC, together with identity of the echo paths with adaptive filters, double-talk detection, and suppression.
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Extra info for A Perspective on Stereophonic Acoustic Echo Cancellation
2) The APA is obtained as follows: min h(n) − h(n − 1) h(n) 2 subject to (n) = 0. 3) 2 Using Lagrange multipliers, we easily ﬁnd the update equation of the algorithm, which is h(n) = h(n − 1) + X(n) XH (n)X(n) −1 e∗ (n). 4) cancels the a posteriori error vector. Also, by taking P = 1, we ﬁnd the NLMS algorithm derived in the previous chapter. To make the APA more practical, we need to change it a bit by including the two classical parameters: the normalized step size, α (0 < α < 2), and the regularization, δ ≥ 0.
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A Perspective on Stereophonic Acoustic Echo Cancellation by Jacob Benesty, Constantin Paleologu, Tomas Gänsler, Silviu Ciochină