Deconvolution Methods for Multi-Detectors
Abstract
Deconvolution of a single convolution equation is usually an ill- posed problem. This has been sufficiently illustrated in the literature. The shortcomings of linear and of non-linear deconvolution methods can be found, for instance, in the very clear review paper. Advances in the theory of holomorphic functions of several complex variables led Berenstein, Taylor and Yger to realize that systems of convolution equations could be deconvolved exactly, thus avoiding the above ill-posedness. Their preliminary papers eventually led to this project. The practical interest of this observation is that whenever such a set of convolution equations represents a set of physically realizable devices (e.g. transducers, sensors) then one has, by use of a digitally implemented inverse, essentially an arbitrary bandwidth device.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 30, 1989
- Accession Number
- ADA213568
Entities
People
- Carlos Berenstein
Organizations
- Maryland Advanced Development Laboratory