Optimal discrete filtration of intricate phasekeyed signals
Abstract
An optimum discrete filter for arbitrarily intricate phasekeyed signals is synthesized assuming that such signals arrive at the receiver in an additive mixture with Gaussian white noise. While both phase angle theta(t) and time delay (t) are described by stochastic equations, d theta/dt = omega  omega sub 0 and d tau/dt = v  sub 0 (ttime, omega sub 0a constant frequency, v sub a constant rate of change of time delay), the state vector X(t) is estimated from the apriori probabilistic equation X(t)=FX(t) + GW(t) (Fstate matrix, Gperturbation matrix, W sup T (t)noise vector). The equations of optimal continuously discrete filtration are derived on the basis of the Markov nonliner filtration theory, whereupon the covariational error matrix is calculated. The accuracy and the intererence immunity of the corresponding processor structure under static and dynamic conditions depend, accordingly, on the behavior of the error matrix elements in time. The steadystate interference immunity of such an optimum discrete receiver is somewhat lower than that of the corresponding optimum analog one, the discretization process playing the major role in lowering it.
 Publication:

USSR Rept Electron Elec Eng JPRS UEE
 Pub Date:
 March 1985
 Bibcode:
 1985RpEEE.......24T
 Keywords:

 Electric Filters;
 Phase Shift Keying;
 Signal Processing;
 Electromagnetic Interference;
 Interference Immunity;
 Markov Processes;
 Optimization;
 Radio Receivers;
 White Noise;
 Communications and Radar