2014
DOI: 10.1016/j.sigpro.2014.05.018
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A new normalized LMAT algorithm and its performance analysis

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Cited by 43 publications
(28 citation statements)
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“…The impulsive noise ϑðnÞ is usually modeled as a BernoulliGaussian (BG) process, i.e., ϑðnÞ ¼ cðnÞAðnÞ [8][9][10][11][12][13][14], where cðnÞ is a Bernoulli process with the probability density function defined by p cðnÞ ¼ 1 È É ¼ Pr and p cðnÞ ¼ 0 È É ¼ 1 ÀPr (with Pr denoting the probability of the occurrence of the impulsive noises), and AðnÞ is a white Gaussian process with zero mean and variance σ 2 12,13]. Also, to assess the tracking capability of the algorithms, the unknown vector is changed from w o to Àw o at the 4:5 Â 10 5 th input samples.…”
Section: System Identification Under Impulsive Noisesmentioning
confidence: 99%
“…The impulsive noise ϑðnÞ is usually modeled as a BernoulliGaussian (BG) process, i.e., ϑðnÞ ¼ cðnÞAðnÞ [8][9][10][11][12][13][14], where cðnÞ is a Bernoulli process with the probability density function defined by p cðnÞ ¼ 1 È É ¼ Pr and p cðnÞ ¼ 0 È É ¼ 1 ÀPr (with Pr denoting the probability of the occurrence of the impulsive noises), and AðnÞ is a white Gaussian process with zero mean and variance σ 2 12,13]. Also, to assess the tracking capability of the algorithms, the unknown vector is changed from w o to Àw o at the 4:5 Â 10 5 th input samples.…”
Section: System Identification Under Impulsive Noisesmentioning
confidence: 99%
“…The complex wave propagation is generated using the Fresnel transform diffraction through the propagation phenomena (Zhou et al 2014; Nazeer and Kim 2013). When the Fresnel transform is applied to a multi-resolution bases of the wavelet, it produces the Fresnelet transform basis.…”
Section: Fresnelet Transform Encryptionmentioning
confidence: 99%
“…In this regard, one-dimensional data propagation is shown with the Fresnel transform model for a function that can be represented as the convolution integral:where is the one-dimensional kernel. And the normalizing parameter depending on the distance and on the wavelength as follow:In addition, two-dimensional data propagation is shown by using the tensor product of the , for ,where is the separable kernel used to extend the Fresnel transform’s one- dimensional case readily to two-dimensional case (Zhou et al 2014). Among the various useful properties of the Fresnel transform, the unitary property is the prominent one, so that the given data can be facilitated to obtain the perfect reconstruction.…”
Section: Fresnelet Transform Encryptionmentioning
confidence: 99%
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