2011
DOI: 10.1109/tasl.2011.2136336
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A Generalized FLANN Filter for Nonlinear Active Noise Control

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Cited by 163 publications
(81 citation statements)
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“…This asymmetric weighting will make the filter converge faster in situations where the optimal solution is sparse (or quasisparse), in contrast with the original SFLAF, which has a uniform weighting for all the functional links. The elements of the proportionate matrix (16) are derived from the improved proportionate normalized least mean square (IPNLMS) algorithm [30] with application to the proposed SFLAF model, thus yielding: 17) where the scalar ξ is a small positive value avoiding divisions by zero. In (17), the proportionality factors −1 ≤ α L , α FL ≤ 1 have the task of balancing the proportionality.…”
Section: B Derivation Of the Proportionate Matrixmentioning
confidence: 99%
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“…This asymmetric weighting will make the filter converge faster in situations where the optimal solution is sparse (or quasisparse), in contrast with the original SFLAF, which has a uniform weighting for all the functional links. The elements of the proportionate matrix (16) are derived from the improved proportionate normalized least mean square (IPNLMS) algorithm [30] with application to the proposed SFLAF model, thus yielding: 17) where the scalar ξ is a small positive value avoiding divisions by zero. In (17), the proportionality factors −1 ≤ α L , α FL ≤ 1 have the task of balancing the proportionality.…”
Section: B Derivation Of the Proportionate Matrixmentioning
confidence: 99%
“…The elements of the proportionate matrix (16) are derived from the improved proportionate normalized least mean square (IPNLMS) algorithm [30] with application to the proposed SFLAF model, thus yielding: 17) where the scalar ξ is a small positive value avoiding divisions by zero. In (17), the proportionality factors −1 ≤ α L , α FL ≤ 1 have the task of balancing the proportionality. In fact, when they assume a value close to 1 a high degree of sparseness is expected both for the functional link expansion and for the linear branch, while, on the contrary, a low degree is expected when the proportionality factors are close to −1, thus reducing in the limit the adaptation to a normalized least mean square (NLMS) algorithm.…”
Section: B Derivation Of the Proportionate Matrixmentioning
confidence: 99%
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“…Then, the transformed signal can be processed by a linear model. In particular, we take into account the nonlinear functional link adaptive filters (FLAFs) [3], in which the nonlinear expansion is carried out by the so-called functional links [14,15,19,1], and the subsequent linear model is an adaptive filter.…”
Section: Introductionmentioning
confidence: 99%
“…Standard FLANN filter strategy does not use products of input samples with different time shifts, thus, its performance can be deteriorated in some situations. To alleviate this problem, different modifications, such as the generalized FLANN (GFLANN) [53], the completed FLANN (CFLANN) [54] and finally the Fourier nonlinear (FN) filter [55], have been proposed with application to nonlinear active noise control. However, when used in room equalization, the nonlinear expansion of the input signal of order P produces M = 2P +1 functions that have to be filtered through the estimated acoustic channel for its use in the nonlinear filtered-x algorithm.…”
Section: Z(n)mentioning
confidence: 99%