SUMMARY
Recently, in a number of works devoted to the synthesis and processing of complex signals, along with the trigonometric basis, other orthogonal bases are also used. However, in these works, often, such signals are not evaluated by the peak factor, and also the use of orthogonal bases does not occur in the finite interval, which leads to a variety of difficulties in solving the problems of signal generation and processing.The purpose of this article is to consider the synthesis of complex signals in orthogonal Laguerre bases for a class of complex signals. This synthesis of broadband signals is of interest for radio communication systems