Error Probability of a Multipath Communication Channel With Inaccurate Estimation of the Impulse Characteristic of Such Channel

The possibility of error in the case of imprecise estimation of the impulse characteristic of a multipath channel is investigated in the article. The study was carried out for a multipath communication channel of discrete channel models, which corresponds to the mapping of a continuous two-path channel onto a discrete channel with an impulse characteristic. Numerical results of calculations are obtained, which can be used to calculate the error probability in the cases indicated in the article, which differ in the ratio of the amplitudes of the interfering beams. Formulas for calculating probability integrals are presented in the article. The influence of the accuracy of estimating the components of the impulse characteristic vector on the error probability in a two-beam channel with constant parameters is studied. The results of a study of the influence of the communication channel model on the error probability for different models of the communication channel for 8PSK modulation are also presented. With the "deterioration" of the type of the channel impulse characteristic (an increase in the number of channel amplitude-frequency characteristic dips in the signal band and an increase in their depth), the decrease in the error probability characteristic due to begins at lower estimation error values. The results of studying the error probability of 8PSK and 64QAM signals in a single-beam channel with Rayleigh fading are presented. It is determined that the influence of errors becomes more noticeable with an increase in the signal-to-noise ratio in the channel and with an increase in the number of dips in the amplitude-frequency characteristic of the channel in the signal band and an increase in their depth.