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Telecommunications and Radio Engineering

 

ISSN for PRINT: 0040-2508

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$4518.00

Issues per year:

20

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2001, Volume55

Issue 10-11

  203 pages  

   

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Issue price - $394.00  

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  • Solution of Nonlinear Singular Integral Equation Governing Amplitude-Phase Relation in Signal Theory
  • O.V. Gunko
    Kharkov Military University, 6, Svoboda Sq., Kharkov, Ukraine


    ABSTRACT

    On space U of all finite-spectrum signals u = u(t), the integral representation is given to minimum phase solutions of the nonlinear singular integral equation u2 +(H[u]) = A2, where H is the operator of the Hilbert transform describing all signals of the form u(t) = A(t)cos(ω0t + Φ(t) U with the given Hilbert amplitude A = A(t). The representation rests on the basic of Privalov's lemma for a circle and calls for integrability with weight of the function ln A2(t) .

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