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Reconstruction of two-dimensional signals from the fourier transform magnitude

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TLDR
In this article, the authors presented a paper entitled "Concerning the role of the human brain in the development of artificial neural networks" (Sc. D., Mass. MIT, 1986).
Abstract
Originally presented as author's thesis (Sc. D.--Massachusetts Institute of Technology), 1986.

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Citations
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Proceedings ArticleDOI

A new model-based speech analysis/Synthesis system

TL;DR: Preliminary results indicate that speech and noisy speech synthesized based on this model do not have the "buzziness" typically associated with vocoder speech and is essentially the same as the original speech or the noisy speech in both intelligibility and quality.
Journal ArticleDOI

A new direct algorithm for image reconstruction from Fourier transform magnitude

TL;DR: This paper presents a new direct solution to the problem of reconstructing a two-dimensional discrete signal of finite support from knowledge of only its Fourier transform magnitude and support using the autocorrelation function of the unknown signal.
References
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Book

Matrix computations

Gene H. Golub
Book

Linear systems

Journal ArticleDOI

Phase retrieval algorithms: a comparison.

TL;DR: Iterative algorithms for phase retrieval from intensity data are compared to gradient search methods and it is shown that both the error-reduction algorithm for the problem of a single intensity measurement and the Gerchberg-Saxton algorithm forThe problem of two intensity measurements converge.
Journal Article

A practical algorithm for the determination of phase from image and diffraction plane pictures

R. W. Gerchberg
- 01 Jan 1972 - 
TL;DR: In this article, an algorithm is presented for the rapid solution of the phase of the complete wave function whose intensity in the diffraction and imaging planes of an imaging system are known.