RT Journal Article
ID 3f79ca211de9330c
A1 Gunko, O. V.
T1 Solving the Nonlinear Singular Integral Equation Governing Amplitude-Phase Relations in the Communication Theory
JF Telecommunications and Radio Engineering
JO TRE
YR 2002
FD 2002-03-01
VO 57
IS 2-3
OP 19
AB 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).
PB Begell House
LK https://www.dl.begellhouse.com/journals/0632a9d54950b268,73fc5e5373ce7d6e,3f79ca211de9330c.html