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Generalised information theory for inverse problems in signal processing

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4 Author(s)
Pike, E.R. ; Royal Signals & Radar Establishment, Malvern, UK ; McWhirter, J.G. ; Bertero, M. ; de Mol, C.

A powerful technique for the solution of a number of experimental in verse problems, described by an underlying first-kind Fredholm equation is presented. Such problems include, for example, diffraction-limited imaging and the analysis of laser light scattering data. The technique requires the construction of the `singular system¿¿ of the propblem which then provides exact orthonormal bases both for the description of sampled and truncated measured data and for the reconstructed continuous object `solution¿¿ of the inversion. The singular-system approach may ber regarded as a theory of information which generalises in several directions the well known classical concepts of Shannon and Nyquist.

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Communications, Radar and Signal Processing, IEE Proceedings F  (Volume:131 ,  Issue: 6 )