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On wideband deconvolution using wavelet transform Rebollo Neira, Laura Fernández Rubio, Juan Antonio 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 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 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. Peer Reviewed 1997-07-31 Article Rebollo Neira, L.; Fernández Rubio, J. A. On wideband deconvolution using wavelet transform. IEEE Signal Processing Letters, 1997, vol. 4, núm. 7, p. 207-209. 1070-9908 https://hdl.handle.net/2117/1565 eng TIC96-0500-C10-01 Open Access 207-209 application/pdf IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC