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Journal ArticleDOI

Signal reconstruction from signed Fourier transform magnitude

TLDR
In this article, it was shown that a one-dimensional or multidimensional sequence is uniquely specified under mild restrictions by its signed Fourier transform magnitude (magnitude and 1 bit of phase information).
Abstract
In this paper, we show that a one-dimensional or multidimensional sequence is uniquely specified under mild restrictions by its signed Fourier transform magnitude (magnitude and 1 bit of phase information). In addition, we develop a numerical algorithm to reconstruct a one-dimensional or multidimensional sequence from its Fourier transform magnitude. Reconstruction examples obtained using this algorithm are also provided.

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Citations
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Journal ArticleDOI

Phase Retrieval with Application to Optical Imaging: A contemporary overview

TL;DR: The goal is to describe the current state of the art in this area, identify challenges, and suggest future directions and areas where signal processing methods can have a large impact on optical imaging and on the world of imaging at large.
Journal ArticleDOI

On the usefulness of STFT phase spectrum in human listening tests

TL;DR: It is shown in this paper that even for small window durations, the phase spectrum can contribute to speech intelligibility as much as the magnitude spectrum if the analysis–modification–synthesis parameters are properly selected.
Posted Content

Phase Retrieval with Application to Optical Imaging

TL;DR: The goal is to describe the current state of the art in this area, identify challenges, and suggest future directions and areas where signal processing methods can have a large impact on optical imaging and on the world of imaging at large.
Journal ArticleDOI

Computer Techniques for Image Processing in Electron Microscopy

TL;DR: In this article, computer techniques for image processing in Electron Microscopy Optica Acta: International Journal of Optics: Vol 26, No 4, pp 418-418
Journal ArticleDOI

Real-Time Signal Estimation From Modified Short-Time Fourier Transform Magnitude Spectra

TL;DR: An algorithm for estimating signals from short-time magnitude spectra is introduced offering a significant improvement in quality and efficiency over current methods, and is applied to audio time-scale and pitch modification and compared to classical algorithms for these tasks on a variety of signal types.
References
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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.
Journal ArticleDOI

The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform

TL;DR: In this article, the phase or magnitude information alone is not sufficient, in general, to uniquely specify a sequence, however, a large class of sequences are shown to be recoverable from their phases or magnitudes.
Journal ArticleDOI

Signal reconstruction from phase or magnitude

TL;DR: In this article, a set of conditions under which a sequence is uniquely specified by the phase or samples of the phase of its Fourier transform was developed. But these conditions are distinctly different from the minimum or maximum phase conditions, and are applicable to both one-dimensional and multidimensional sequences.
Journal ArticleDOI

On the ambiguity of the image reconstruction problem

TL;DR: It is shown that the retrieval ambiguity represents a lesser problem in the two-dimensional case compared to the well-known problem of image reconstruction from its spectrum modulus.
Journal ArticleDOI

Computer Techniques for Image Processing in Electron Microscopy

TL;DR: In this article, computer techniques for image processing in Electron Microscopy Optica Acta: International Journal of Optics: Vol 26, No 4, pp 418-418
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