V.V. Liventsev1

1 JSC “Concern “Sozvezdie” (Voronezh, Russia)

1 vlivencev@mail.ru

Problem statement. At present, it is important to jointly increase the throughput and noise immunity of broadband infor-mation transmission systems (ITS) in conditions of a shortage of radio frequency spectrum. One of the promising ap-proaches to solving this problem is the use of binary spread spectrum phase-shift keyed signals (SSPSKS) with orthogonal polarization coding (PC). To form spread spectrum signals of the named class, it is relevant to develop regular methods for synthesizing code sequences over the alphabet of sequences of Welti E-codes with autocorrelation functions with a low level of side lobes.
Objective. To present a regular rule for the synthesizing of code sequences over the alphabet of Welti E-code sequences based on binary M-sequences and to analyze their correlation properties.
Results. A simple regular rule for synthesizing a set of 2N code sequences of period N = 2n–1, n{3,4,…} over the alphabet of sequences of Welti E-codes is presented based on a pair of binary M-sequences of the same period with different char-acteristic polynomials. A variant of the specified rule is given for the formation of a set of N–1 code sequences of period N = 2n–1, n{2,3,…} based on one binary M-sequence of the same period. The analysis of periodic and aperiodic auto- and cross-correlation functions of code sequences is carried out. It has been established that when using one M-sequence to form multiple code sequences, their autocorrelation properties are not inferior to the autocorrelation properties of the orig-inal M-sequence, and in the case of using a pair of M-sequences, they are approximately twice as good as the periodic au-tocorrelation properties of binary sequences obtained by element-by-element summation modulo two of the first M-sequence with all possible cyclic shifts of the second one. It is shown that the cross-correlation properties of code se-quences constructed on the basis of either one or a pair of M-sequences are unsatisfactory.
Practical relevance. Code sequences over the Welti E-code sequences alphabet constructed using the proposed rule can be used in advanced broadband ITS with the binary SSPSKS with orthogonal PC for the purposes of synchronization, channel estimation, and range measurements.
 

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