Detecting a discrete signal by the dispersion of the logarithm of the ratio of the amplitudes of neighboring symbols

The problem of detecting a discrete information signal is solved based on estimating the dispersion of the logarithm of the ratio of the amplitudes of neighboring information symbols, which makes it possible to provide a specified false alarm probability in a channel with an unknown level of Gaussian noise. In this case, the missing probability is determined only by the signal-to-noise ratio. Thus, it is possible to measure the quality of the operating communication channel without interfering with the transmitted signals. The probabilistic properties of the dispersion are considered, the calculated relationships for detection characteristics are obtained, and a statistical simulation of the synthesized algorithm is carried out for detecting a phase-shift keyed signal. The high efficiency of the proposed detector is established over a wide range of signal-to-noise ratios. The introduced algorithm can be used to monitor the state of communication channels and control them in a multi-channel information transmission system.