Probabilistic analysis of automatic control systems for detection systems

Automatic adaptive detection systems with digital signal processing, consisting of a threshold device and a digital decision device with a feedback loop which includes an n-bit reversible counter, a logic analyzer, an n-bit shift register, and a digital-to-analog converter are considered. For constructing the transfer probability graph, it is proposed to consider the main states and the complementary states of the shift register. The corresponding method to determine the elements of the transfer probability matrix PI is demonstrated on the case of n=3 and k=1. This method is shown to be applicable to probabilistic analysis of such systems with either stationary or nonstationary input processes, but the connectedness of the Markov chain must be accounted for and properly approximated to avoid unacceptable large errors.