RT Journal Article ID 793068b16e5ad005 A1 Gunko, O.V. T1 Solution of Nonlinear Singular Integral Equation Governing Amplitude-Phase Relation in Signal Theory JF Telecommunications and Radio Engineering JO TRE YR 2001 FD 2001-11-01 VO 55 IS 10-11 OP 6 AB 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) . PB Begell House LK https://www.dl.begellhouse.com/journals/0632a9d54950b268,51ec81300262b25c,793068b16e5ad005.html