COMPOSITE EULERIAN SIGNAL WITH GOOD CORRELATION PROPERTIES AND LOW REQUIRED COMPUTING POWER
Introduction. High range resolution is one of the urgent problems of modern radar. The existing approach to its solution is to synthetize sounding signals with delta-type autocorrelation function (ACF). Typically, the final circuit of the radar receiver computes the autocorrelation of the output signal. As a result, the echo signal from the most closely spaced targets on the display screen will be represented as separate in time pulses. This solution to the problem of increasing the radar range resolution is referred to as echo compression. The aim of the research is to expand the class of composite signals that allow to perform their effective compression. The proposed approach is to use sounding signals with a discrete envelope, which allows one to represent it in the form of a single pulse (Kronecker symbol). A compressed signal consists of a single thin lobe of one resolution element width without any sidelobes, and its energy is equal to the energy of the original signal. Signals with similar properties are relatively unknown. One of them is the signals in the form of a composition (sequence) of elementary Eulerian signals (EES). Conclusion. The paper discusses two types of signals, CES and ACS, that are obtained on the basis of the Euler's formula and can be compressed over the range keeping the conveyed energy. The CES signal is synthesized by concatenation of a complete family of elementary Eulerian signals. This operation yields a discrete complex-valued signal of dimension with a strictly uniform energy spectrum. The ACS signal is computed by the bitwise sum of the complete family of its constituent elementary signals EES. It was shown that this sum defines the k-dimensional Kronecker symbol and can be considered as a compressed signal.