2014
DOI: 10.1109/tsp.2014.2334560
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Sparsity-Aware Data-Selective Adaptive Filters

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Cited by 85 publications
(69 citation statements)
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“…The zero attractor (ZA) algorithms are obtained by choosing p as the l 1 norm leading to ∇p(w(k)) = sign(w(k)). 2 An interesting alternative is to choose p = F β [18], where F β is an approximation to the l 0 "norm" and the parameter β controls the tradeoff between smoothness and accuracy of the approximation. There are many suitable functions F β -see [18], [19]-, but for the simulations presented in the following section we consider just the Geman-McClure function (GMF), which leads to (18) where (∇p(w(k))) n represents the n th entry of the gradient vector.…”
Section: Penalty-based Algorithmsmentioning
confidence: 99%
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“…The zero attractor (ZA) algorithms are obtained by choosing p as the l 1 norm leading to ∇p(w(k)) = sign(w(k)). 2 An interesting alternative is to choose p = F β [18], where F β is an approximation to the l 0 "norm" and the parameter β controls the tradeoff between smoothness and accuracy of the approximation. There are many suitable functions F β -see [18], [19]-, but for the simulations presented in the following section we consider just the Geman-McClure function (GMF), which leads to (18) where (∇p(w(k))) n represents the n th entry of the gradient vector.…”
Section: Penalty-based Algorithmsmentioning
confidence: 99%
“…In [19], it is shown that, in some situations, the term αx(k)S (k)x H (k) may be discarded with no harm to the convergence, which gives rise to the quasi NLMS-SSI (QNLMS-SSI). Another alternative, which is related to the approximation to the l 0 "norm" [18], is to choose (∇p(w(k))) n = (sign(w n (k)))/(1 + |w n (k)|) with small positive , which is known as reweighted ZA-NLMS (RZA-NLMS) algorithm [20]. 3 The SM versions can be derived by considering γ = 0 and γ(k) = γsign(e(k)).…”
Section: Penalty-based Algorithmsmentioning
confidence: 99%
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