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Signal deconvolution by projection onto convex sets

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2 Author(s)
Trussell, H.J. ; North Carolina State University, Raleigh, NC, USA ; Civanlar, M.R.

The method of projection onto convex sets is extended to the problem of deconvolution in the presence of noise. A collection of convex sets is defined by using properties of the noise and of the ideal signal. The ideal signal is then a member of the intersection of these convex sets. A solution to the deconvolution problem is to choose a member of this intersection. Such a member is obtained by successive projections onto convex sets. If the intersection is small, then any member of the intersection should be a good estimate. One and two dimensional results have shown that this method is effective in producing estimates that are superior to conventional methods when sufficient a priori knowledge is available to define the convex sets.

Published in:

Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '84.  (Volume:9 )

Date of Conference:

Mar 1984