doi: 10.1364/AO.19.001670.
Coherent optical extrapolation of 2-D band-limited signals: processor theory
- PMID: 20221097
- DOI: 10.1364/AO.19.001670
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Coherent optical extrapolation of 2-D band-limited signals: processor theory
Appl Opt.
.
Abstract
Given a truncated portion of a band-limited image with known x and y bandwidths, the extrapolation problem is to determine the signal over all x and y. An iterative extrapolation algorithm, recently proposed by Gerchberg, requires only the repeated operations of Fourier transformation and truncation. A coherent optical processor is presented that implements Gerchberg's iterative extrapolation algorithm in two dimensions. Iteration is performed by simple passive feedback.
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