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ISSN for PRINT: 0040-2508
Institutional price: |
$4518.00 |
Issues per year: |
20 |
2001, Volume55
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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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Article price - $35.00 |
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