2002
DOI: 10.1109/7.993258
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A fuzzy approach to signal integration

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Cited by 32 publications
(16 citation statements)
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“…The third implies that scattering cells of very small neighbourhood mean power are thrown away while scattering cells of very high neighbourhood average power are fully preserved. If There are many nonlinear maps satisfying the above three properties, for instance, the soft thresholding function and hard thresholding function in wavelet denoising [7] and the fuzzy map in [8]. Here, we construct a family of sigmoidshaped nonlinear shrinkage functions specified by noise power and shape parameter μ .…”
Section: The Denoising Methods Based On the Nonlinear Shrinkage Map (Nsm)mentioning
confidence: 98%
“…The third implies that scattering cells of very small neighbourhood mean power are thrown away while scattering cells of very high neighbourhood average power are fully preserved. If There are many nonlinear maps satisfying the above three properties, for instance, the soft thresholding function and hard thresholding function in wavelet denoising [7] and the fuzzy map in [8]. Here, we construct a family of sigmoidshaped nonlinear shrinkage functions specified by noise power and shape parameter μ .…”
Section: The Denoising Methods Based On the Nonlinear Shrinkage Map (Nsm)mentioning
confidence: 98%
“…In the fuzzy detector proposed in [7], the membership function w is defined so that it maps the observation space to a value between 0 and 1 indicating the degree to which the test is indicative to the hypothesis 'no signal' and 'signal'. The membership function corresponding to the false alarm space was defined as 2 ( ) Pr( (0, )) w y…”
Section: Fuzzy Ca-cfarmentioning
confidence: 99%
“…In fuzzy logic detection problem, the decision is not restricted to the presence or absence of a signal. Some work dealing with fuzzy constant false alarm rate (CFAR) detection have been reported in the literature [6,7,8] :Leung and Minett [6] replace the fixed threshold with a soft continuous threshold implemented as a membership function. This function is chosen so that it maps the observation set to a false alarm space corresponding to the false alarm rate.…”
Section: Introductionmentioning
confidence: 99%
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“…Therefore, it would C. Alioua · F. Soltani (B) Laboratoire Signaux et Systèmes de Communication, Département d'électronique, Faculté des Sciences de l'ingénieur, Université de Constantine, Constantine 25000, Algeria e-mail: f.soltan@yahoo.fr be desirable to identify these observations in order to do some additional testing. Some works dealing with the use of fuzzy logic in signal detection have been reported in literature [1][2][3][4][5][6][7][8][9][10][11][12][13]. In [1], Leung replaced the fixed threshold with a soft continuous threshold implemented as a membership function.…”
Section: Introductionmentioning
confidence: 99%