V.V. Liventsev

JSC “Concern “Sozvezdie” (Voronezh, Russia)

Problem statement. At present, specialists in the field of the theory and techniques of radio communication pay significant attention to the issue of designing new types of spread spectrum signals with polarization coding of chips. This interest stems from the possibility of joint throughput and interference immunity in communication systems avoiding incremental radio-frequency and energy costs due to the use of signal’s freedom additional degrees provided by polarization coding. The simplest way to implement the method of polarization coding is orthogonal polarization coding implied to binary spread spectrum phase-shift keyed signals. At this, practical application of discrete-coded by polarization and phase signals actualizes the issue of minimizing sidelobe magnitude of their aperiodic and periodic autocorrelation functions.

Objective. To design a regular computationally efficient synthesis algorithm for ensembles of binary spread spectrum phase-shift keyed signals with orthogonal polarization coding with zero level of sidelobe magnitude of aperiodic autocorrelation functions. Results. The problem of synthesis of ensembles of binary spread spectrum phase-shift keyed signals with orthogonal polarization coding with zero level of sidelobe magnitude of aperiodic autocorrelation functions is resolved through an equivalent problem of synthesis of ensembles of ternary complementary sequences whose elements are bound by a specific condition. The necessary conditions for existence of such sequences have been found. Basing on these conditions, a regular computationally efficient synthesis algorithm for ensembles of the said sequences has been designed. It includes the procedure of forming such sequences up to sign for all nonzero elements and the procedure of sign determination for nonzero elements. Sample sequences synthesis for the length N=10 is provided.

Practical relevance. The designed regular algorithm for synthesis of ensembles of ternary complementary sequences whose elements are bound by a specific condition allows to synthetize ensembles of binary spread spectrum phase-shift keyed signals with orthogonal polarization coding with zero level of sidelobe magnitude of aperiodic autocorrelation functions which can be used at designing perspective spread spectrum communication systems to enhance their interference immunity and the accuracy of time synchronization.

Liventsev V.V. Algorithm of synthesis of ensembles of binary spread spectrum phase-shift keyed signals with polarization coding and ideal aperiodic autocorrelation functions. Radiotekhnika. 2021. V. 85. № 10. P. 88−101. DOI: https://doi.org/10.18127/j00338486202110-09 (In Russian)

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