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Titlebook: Sparse Adaptive Filters for Echo Cancellation; Constantin Paleologu,Jacob Benesty,Silviu Ciochină Book 2010 Springer Nature Switzerland AG

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The Exponentiated Gradient Algorithms,ergence and to improve its tracking abilities as compared to the LMS. In (34), a general expression of the MSE is derived for the EG± algorithm showing that for sparse impulse responses, the EG± algorithm, like PNLMS, converges more quickly than the LMS for a given asymptotic MSE.
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Experimental Study,onate-type NLMS adaptive filters (reviewed in Chapter 5 and 6), then the mu-law and other recently developed PNLMS-type algorithms (described in Chapter 7), followed by the variable step-size versions (developed in Chapter 8), and finally the proportionate-type APAs (presented in Chapter 9).
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Wiener and Basic Adaptive Filters,ime iteration for an estimation of the optimal solution. That is why this part also describes the most classical adaptive algorithms that are able to converge, in a reasonable amount of time, to the optimal Wiener filter.
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The Mu-Law PNLMS and Other PNLMS-Type Algorithms,ilter estimate. This is a very important issue in real-world/real-time applications such as network and acoustic echo cancellation. Inspired by the “proportionate” idea, many PNLMS-type algorithms were proposed in the last decade.
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978-3-031-01431-4Springer Nature Switzerland AG 2010
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Basic Proportionate-Type NLMS Adaptive Filters,t, but the bulk delay can be much longer and can also vary significantly. As a result, a long adaptive filter is needed to cover both the echo part and the delay. Therefore, only a small number of the coefficients of the adaptive filter are really active (i.e., different from zero), and all others are inactive (i.e., small values or zero).
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