In radioengineering systems, various methods and technical means are used for signal processing, the selection criteria of which are optimized for the best result of assigned task solution. The study of an analog signal shift on the time axis is one of the widely used radio engineering problems. In this work, the functional capabilities of an acousto-optic delay line (AODL) in the context of processing analog signals in the time domain are listed. The urgency of creating mathematical models of the AODL main characteristics and their study was substantiated. The AODL circuit and its operation principle were discussed, and an expression for the current at its output was obtained. Based on the structural and electrical parameters of the AODL, mathematical models of its transient, impulse and amplitude-frequency characteristics have been constructed. It was shown that the diameter of the light beam interacting with the elastic wave has the greatest effect on the characteristics of a particular AODL sample. A numerical analysis of the above characteristics was carried out. The results of the numerical analysis were tested experimentally on the AODL model. To avoid accidental coincidences, numerical analysis and experimental approbation were carried out for two values of the laser beam diameter. The adequacy of the transient, impulse and amplitude-frequency characteristics was assessed by the results obtained in statics and dynamics. It was shown that the transient, impulse or amplitude-frequency response can be used to determine the AODL frequency and time parameters. Static and dynamic comparison of the results of numerical analysis and experimental studies have shown their unambiguous adequacy.
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