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                <term xml:lang="en">Multivariate gamma distribution</term>
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                <term xml:lang="en">Double-talk</term>
                <term xml:lang="en">Channel change</term>
                <term xml:lang="en">Echo cancellation</term>
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              <p>A control logic has a central role in many echo can- cellation systems for optimizing the performance of adaptive fil- ters, while estimating the echo path. For reliable control, accurate double-talk and channel change detectors are usually incorporated to the echo canceler. This work expands the usual detection strat- egy to define a classification problem characterizing four possible states of the echo canceler operation. The new formulation allows the use of decision theory to continuously control the transitions among the different modes of operation. The classification rule re- duces to a low-cost statistics, for which it is possible to determine the probability of error under all hypotheses, allowing the clas- sification performance to be accessed analytically. Monte Carlo simulations using synthetic and real data illustrate the reliability of the proposed method.</p>
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