Synthesis of system with nonideal components for optimal processing of radio signal

Synthesis of a system with nonideal components for processing radio signals is considered, with nonideality of the characteristics being successively accounted for in the Kalman-Bussy equations. The optimum structure attainable with components of a given less than ideal quality is found on this basis. The procedure is demonstrated on processing an additive mixture of a random signal with uniform spectral density within some frequency band and a quasi-deterministic narrow-band interference with random parameters. The system which consists of two summators, six multipliers, and two integrators becomes an open one when the output voltage of the two integrators drifts in time. Replacement of ideal integrators with real ones is found to be equivalent to addition of another noise consisting of two independent Wiener processes. The equations are modified accordingly, and the optimum processing algorithm obtained on this basis. The structure of the system remains unchanged, but the transmission coefficient of the two multipliers before the integrators does not drop to zero so that the system remains closed during a transient.