Synthesis of a test signal from a given autocorrelation function

In this paper, we consider the problem of synthesizing a test signal from a given autocorrelation function. A formula for the energy spectrum is obtained. The method for synthesizing binary pulse processes proposed in this work makes it possible to simulate signals whose energy spectrum envelopes are close to the envelopes of the continuous part of the energy spectra of an equivalent first-order test sequence. The algorithm used in the calculations and the value of the parameter $\lambda$ for the obtained pulse process are given. The problem of synthesizing pulse processes in this formulation is close to the problem of synthesizing quantum phase-shift keyed signals, usually used in radar, according to a given autocorrelation function.

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