3 edition of Phase Retrieval and Zero Crossings found in the catalog.
November 30, 2001
Written in English
|The Physical Object|
|Number of Pages||324|
Consequently, the local phase vector preserves a lot of important information of the original signal. Image reconstruction from the local phase vectors can be easily and quickly implemented in the monogenic scale space by a coarse to fine way. Experimental results illustrate that an image can be accurately reconstructed based on the local phase Cited by: 5. Delayed Current Zero Crossing Phenomena during Switching of Shunt-Compensated Lines David K Olson Xcel Energy Minneapolis, MN Paul Nyombi in T.J.E Miller’s book . II. to close at their corresponding phase voltage zero crossings.) File Size: KB.
Norman E. Hurt, Phase retrieval and zero crossings, Mathematics and its Applications, vol. 52, Kluwer Academic Publishers Group, Dordrecht, Mathematical methods in image reconstruction. Mathematical methods in image by: 6. Zero crossing is the point of choice for measuring phase and frequency. The reference is usually easy to establish and the signalQs amplitude rate of change is maximum at signal zero. Phase synchronized triggering requires placing additional constraints on zero crossing detection. Weidenburg et. al. reviewed several method for synchronizingFile Size: KB.
of the phase retrieval problem in the wide-band case. We will look at the phase retrieval problem on the unit disc and on the strip. Section 4 is devoted to the coupled phase retrieval problems. 2. Preliminaries Notation. For a domain Ω ⊂ C, Hol(Ω) is the set of holomorphic functions on Ω. For F∈ Hol(Ω) we denote by Z(F) the set of Cited by: 2. In this paper, we claim that phase retrieval is in its core an algebraic problem and emphasize the potential of algebraic tools. This change of perspective enables us to not only answer all of the 7 above questions, but we can also apply symbolic computations and schemes from approximate algebra to design a reconstruction algorithm. Indeed, we observe that phase retrieval can be .
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Authors: Hurt, N.E. Phase Retrieval and Zero Crossings: Mathematical Methods in Image Reconstruction by Hurt, N.E. and a great selection of related books, art and collectibles available now at - Phase Retrieval and Zero Crossings: Mathematical Methods in Image Reconstruction Mathematics and Its Applications by Hurt, N E - AbeBooks.
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The Babylonians invented it, the Greeks banned it, the Hindus worshiped it, and the Church used it to fend off heretics. Now it threatens the foundations of modern physics. Phase Retrieval and Zero Crossings的话题 (全部 条) 什么是话题 无论是一部作品、一个人，还是一件事，都往往可以衍生出许多不同的话题。.
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A zero-crossing is a point where the sign of a mathematical function changes (e.g. from positive to negative), represented by a intercept of the axis (zero value) in the graph of the function.
It is a commonly used term in electronics, mathematics, acoustics, and image processing. In electronics. In alternating current, the zero-crossing is the instantaneous point at which there is no voltage Missing: Phase Retrieval.
Introduction --Polynomials: a review --Entire functions and signal recovery --Homometric distributions --Analytic signals and signal recovery from zero crossings --Signal representation by Fourier phase and magnitude in one dimension --Recovery of distorted band-limited signals --Compact operators, singular value analysis and reproducing Kernel Hilbet spaces --Kaczmara.
Zero crossing (or burst-firing) control is an approach for electrical control circuits that starts operation with the AC load voltage at close to 0 Volts in the AC cycle. This is in relation to solid state relays, such as triacs and silicon controlled purpose of the circuit is to start the triac conducting very near the time point when the load voltage is crossing zero volts (at Missing: Phase Retrieval.
In the phase retrieval problem one seeks to recover an unknown function g(t) from the amplitude mod g(k) mod of its Fourier transform. Since phase and amplitude are, in general, independent of each other, it is necessary to make use of other kinds of information which implicitly or explicitly constrain the admissible solutions g(t).Cited by: Phase retrieval problems involve solving linear equations, but with missing sign (or phase, for complex numbers).
Over the last two decades, a popular generic empirical approach to the many variants of this problem has been one of alternating minimization; i.e.
alternating between estimating the missing phase information, and the candidate solution. We reconsider 1-D phase retrieval problem based on iter- ative methods. First we recall the work of Fejer and Riesz in positive trigonometric polynomials and relate their re- sults with phase.
It is well known that only a special class of bandpass signals, called real-zero (RZ) signals can be uniquely represented (up to a scale factor) by their zero crossings, i.e., the time instants at which the signals change their sign.
However, it is possible to invertibly map arbitrary bandpass signals into RZ signals, thereby, implicitly represent the bandpass signal using the Cited by: This paper proposes a novel method to obtain frequency modulation (FM) signals from a single fringe pattern for phase retrieval.
First, a 1D discrete Meyer wavelet is employed to decompose the pattern image signal row by row and the soft-thresholding approach is applied to Cited by: 7.
Books. Publishing Support. Login. Reset your password. Trebino R and Kane D J Using phase retrieval to measure the intensity and phase of ultrashort pulses: Hurt N E Phase Retrieval and Zero Crossings: Mathematical Methods in Cited by: 1. Locations at which the Fourier transform F(u, υ) of an image equals zero have been called real-plane zeros, since they are the intersections of the zero curves of the analytic extension of F(u, υ) with the real–real (u, υ) plane.
It has been shown that real-plane zero locations have a significant effect on the Fourier phase in that they are the end points of phase branch cuts, and it has Cited by: Request PDF | Ambiguities on convolutions with applications to phase retrieval | In this work we characterize all ambiguities of the convolution on two fixed.
Phase Retrieval: An Overview of Recent Developments Kishore Jaganathan yYonina C. Eldarz Babak Hassibi yDepartment of Electrical Engineering, Caltech zDepartment of Electrical Engineering, Technion, Israel Institute of Technology 1 Introduction In many physical measurement systems, one can only measure the power spectral density, i.e., the magnitude-Cited by: Reconstruction from one-bit intensity measurement is related to reconstruction from zero-crossings and is much harder than reconstruction from complex-field measurement.
The proposed method, dubbed the null vector, is a linearization of phase retrieval and takes the form of a quadratic optimization with a row submatrix subject to an ellipsoidal.Phase retrieval is the process of algorithmically finding solutions to the phase problem.
Given a complex signal, of amplitude, and phase: where x is an M -dimensional spatial coordinate and k is an M -dimensional spatial frequency coordinate.
Phase retrieval consists of finding the phase that satisfies a set.