ON SOLUTION OF AMPLITUDE-PHASE PROBLEM-Reference-Cited by-同舟云学术

ON SOLUTION OF AMPLITUDE-PHASE PROBLEM

Published:2018-12-20 Issue:12 Volume: Page:64-68
ISSN:2218-5453
Container-title:Issues of radio electronics
language:
Short-container-title:Voprosy radioèlektroniki

Author:

Boykov I. V.¹,Zelina Ya V.²

Affiliation:

1. Penza State University

2. JSC Research and Production Enterprise «Rubin»

Abstract

The paper describes an unconventional method of solving the amplitude-phase problem. The main properties of the Hilbert transform in the discrete and continual cases for one-dimensional and two-dimensional mappings are considered. These transformations are widely used to solve amplitude-phase problem. A numerical method for solving of two-dimensional amplitudephase problem is proposed. Preliminary information about the zeros of the Fourier transform of the initial signal is not required for this method. The method is based on the apparatus of nonlinear singular integral equations. Computational schemes for solving the corresponding nonlinear singular integral equations are developed. An algorithm for finding initial values for realization of iterative methods is proposed. Quadrature formulas of the calculation of singular integrals are proposed.

Publisher

CRI Electronics

Subject

General Medicine

Reference6 articles.

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4. Boykov I.V. Priblizhennoe reshenie singuljarnyh integralnyh uravnenij [Approximate solution of singular integral equations]. Penza, PGU Publ., 2004, 316 p. (In Russian).

5. Boykov I.V., Zelina Y.V. Approximate method for solving of one-dimensional amplitude-phase problem. Voprosy radioelektroniki, 2017, no. 12, pp. 89–92. (In Russian).

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1. Approximate methods for solving amplitude-phase problem for discrete signals;Journal of Physics: Conference Series;2021-11-01

2. ON SOLUTION OF AMPLITUDE-PHASE PROBLEM;Issues of radio electronics;2018-12-20