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The most serious problems of radar, communication and information transmission are solved using complex broadban signals (BBS). Discrete-coded signals (DCS) are widely used, in which the manipulated parameters (amplitude, phase and frequency) change at strictly fixed time intervals (clock cycles). The law of variation of the manipulated parameters in the DCS is set by discrete sequences (DSs), which completely determine the properties of the DCS and are often identified with them. As a result, attention of the BBS researchers is focused on the analysis, synthesis, and processing of the DSs. The use of the DSs for the formation of complex broadband and super broadband signals as manipulating sequences in the systems of radar, sonar, navigation, communication and transmission of information made it possible to resolve the contradiction between the resolution and the range of the systems, increase their stability and electromagnetic compatibility, increase the efficiency of use of the radio band due to the code division of channels. The use of the DSs also made it possible to improve the ecology in the area of radio emitters action by reducing the peak radiation power, create satellite radar, radio navigation and communication systems, while providing observations, coordinates determination and information transfer to any point on the planet, including moving objects, make a secret location and communication. The article proposes a method for synthesis of a set of nonlinear, discrete, complex signals based on the use of derivatives of the DSs with given cross-correlation, structural and ensemble properties for use in information and communication systems (ICS), which are subject to increased requirements for noise immunity of receiving signals, secrecy and information security of the system.

Synthesis of derivatives of complex signals based on nonlinear discrete sequences with improved correlation properties