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dc.contributor.authorRebollo Neira, Laura
dc.contributor.authorFernández Rubio, Juan Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions
dc.identifier.citationRebollo Neira, L.; Fernández Rubio, J. A. On wideband deconvolution using wavelet transform. IEEE Signal Processing Letters, 1997, vol. 4, núm. 7, p. 207-209.
dc.description.abstractA discussion on the expression proposed in [1]–[3] for deconvolving the wideband density function is presented. We prove here that such an expression reduces to be proportional to the wideband correlation receiver output, or continuous wavelet transform of the received signal with respect to the transmitted one. Moreover, we show that the same result has been implicitly assumed in [1], when the deconvolution equation is derived. We stress the fact that the analyzed approach is just the orthogonal projection of the density function onto the image of the wavelet transform with respect to the transmitted signal. Consequently, the approach can be considered a good representation of the density function only under the prior knowledge that the density function belongs to such a subspace. The choice of the transmitted signal is thus crucial to this approach.
dc.subjectÀrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
dc.subject.lcshSignal processing
dc.subject.lcshWavelets (Mathematics)
dc.subject.otherAcoustic correlation
dc.subject.otherAcoustic receivers
dc.subject.otherAcoustic signal processing
dc.subject.otherAcoustic wave scattering
dc.subject.otherContinuous wavelet transform
dc.subject.otherDeconvolution equation
dc.subject.otherDensity function
dc.subject.otherOrthogonal projection
dc.subject.otherReceived signal
dc.subject.otherTransmitted signal
dc.subject.otherWideband processing
dc.subject.otherWideband deconvolution
dc.subject.otherWideband density function
dc.subject.otherWideband correlation receiver output
dc.titleOn wideband deconvolution using wavelet transform
dc.subject.lemacProcessament del senyal
dc.subject.lemacMètodes numèrics
dc.contributor.groupUniversitat Politècnica de Catalunya. SPCOM - Grup de Recerca de Processament del Senyal i Comunicacions
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access

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