Detection of signals from coherent pulsed radars with random variation in parameters of sounding signals from pulse to pulse against background of worst-case Gaussian noise

The structure and detection characteristics of coherent pulsed radars with random variation in the carrier frequency, initial phase and time-axis position of each pulse burst are investigated. A method is presented for finding the weight function of an optimal receiver and the signal-to-noise ratio at its output. The method can be used to investigate noise tolerance characteristics and to find the optimum receiver structure for variation in any of the parameters of the sounding signals, either separately or together. It is found that the signal-to-noise ratio and receiver structure remain unchanged if the condition of Gaussian noise is eliminated, because only the correlation functions of these processes are used.