A new approach to the stochastic estimation of frequency measurement process in digital automatic control systems, with technical applications

Özet

The object of this report is the development of a method for numerical statistic characteristic calculation in digital frequency measurements for frequency modulated automatic control systems (ACS). In such systems valid data is transmitted using frequency modulation of a pulse signal sequence. The pulse data frequency is measured by a fixed number, N, of retrieval- storage cycle repetitions and calculation of the average number K(N) of pulses measured in N samples. The stochastic estimation problem for this process consists in the mean value MK(N) and variance DK(N) determination as functions of the retrieval-storage cycle time (i.e. the period of time quantization) fluctiations, $\tau_q$ , the time of retrieval, $\tau_{\tau}$ and the input signal phase, $\varphi$.