Convergence of iterative signal reconstruction algorithms
- 24 March 2005
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 6, 35-38
- https://doi.org/10.1109/icassp.1981.1171322
Abstract
This paper is concerned with the development of a general convergence proof which is applicable to a particular class of iterative signal reconstruction algorithms. The proof relies on the concept of a nonexpansive mapping and the uniqueness of the desired signal. Two specific iterative reconstruction algorithms which are considered to illustrate this method of proof are bandlimited extrapolation and phase-only signal reconstruction, the convergence proof of the later being a new result. The generality of the approach allows for the incorporation of nonlinear constraints such as positivity or minimum and maximum value constraints.Keywords
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