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Title:
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On wideband deconvolution using wavelet transform
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Author:
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Rebollo Neira, Laura; Fernández Rubio, Juan Antonio
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions; Universitat Politècnica de Catalunya. SPCOM - Grup de Recerca de Processament del Senyal i Comunicacions |
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Abstract:
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A 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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
-Signal processing
-Wavelets (Mathematics)
-Acoustic correlation
-Acoustic receivers
-Acoustic signal processing
-Acoustic wave scattering
-Continuous wavelet transform
-Deconvolution equation
-Density function
-Orthogonal projection
-Subspace
-Received signal
-Transmitted signal
-Wideband processing
-Wideband deconvolution
-Wideband density function
-Wideband correlation receiver output
-Processament del senyal
-Mètodes numèrics |
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Rights:
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Document type:
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Article |
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Published by:
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IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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