ライブラリ登録: Guest
Begell Digital Portal Begellデジタルライブラリー 電子書籍 ジャーナル 参考文献と会報 リサーチ集
Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN 印刷: 0040-2508
ISSN オンライン: 1943-6009

巻:
巻 78, 2019 巻 77, 2018 巻 76, 2017 巻 75, 2016 巻 74, 2015 巻 73, 2014 巻 72, 2013 巻 71, 2012 巻 70, 2011 巻 69, 2010 巻 68, 2009 巻 67, 2008 巻 66, 2007 巻 65, 2006 巻 64, 2005 巻 63, 2005 巻 62, 2004 巻 61, 2004 巻 60, 2003 巻 59, 2003 巻 58, 2002 巻 57, 2002 巻 56, 2001 巻 55, 2001 巻 54, 2000 巻 53, 1999 巻 52, 1998 巻 51, 1997

Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v57.i2-3.60
19 pages

Solving the Nonlinear Singular Integral Equation Governing Amplitude-Phase Relations in the Communication Theory

O. V. Gunko
Kharkov State Technical University of Radio Engineering and Electronics, 14, Lenin Ave, Kharkov, 61166, Ukraine

要約

The set of all solutions of the nonlinear singular integral equation u2 + (Hu)2 = A2 has been construction in the space U of all the signals u = u(t) with compact-carrier spectra. Here H is the Hilbert transformation operator. The equation describes all the signals u(t) = A(t)cos(ξ0t + Φ(t)) U , and hence all the phases Φ(t) corresponding to the Hilbertian amplitude A = A(t), The equation is reduced to a boundary-value problem for analytical functions that is solved through factorization of the exponential type entire function A2(z).


Articles with similar content:

Integral Representation of Solutions to the Non-Linear Singular Integral Equation Governing Amplitude-Phase Relations in the Communication Theory
Telecommunications and Radio Engineering, Vol.57, 2002, issue 4
O. V. Gunko
Solution of Nonlinear Singular Integral Equation Governing Amplitude-Phase Relation in Signal Theory
Telecommunications and Radio Engineering, Vol.55, 2001, issue 10-11
O.V. Gunko
The Vertical Electric Dipole Field in Presence of a Sphere with Circular Hole
Telecommunications and Radio Engineering, Vol.60, 2003, issue 5&6
Yu. V. Svishchov
A Generalized Recursive Coordinate Reduction Method for Multibody System Dynamics
International Journal for Multiscale Computational Engineering, Vol.1, 2003, issue 2&3
Kurt S. Anderson, J. H. Critchley
Band Structure Analysis of 1D and 2D Photonic Crystals by Coupled Wave Method
Telecommunications and Radio Engineering, Vol.63, 2005, issue 7-12
V. M. Fitio, H. P. Laba, Ya. W. Bobitski