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THE SMALL SET OF KASAMI SEQUENCES AND THEIR DECODING BASED ON THE DUAL BASIS

Abstract

The current development of digital transmission systems increasingly focuses on the use of wideband data transmission methods based, in particular, on the direct sequence spread spectrum (DSSS). The use of wideband signals provides an increase in the efficiency of systems in terms of such indicators as noise immunity, a decrease in the energy of transmitted signals, an increase in the level of stealth of the process of data transmission over a noisy channel, an increase in the efficiency of the phasing system, etc. The most often choice for DSSS are maximum length sequences and Gold sequences, the characteristics and processing methods of which have been studied in sufficient detail and presented in many publications. The article is devoted to the sequences of the small set of Kasami sequences, which have a number of advantages over Gold and maximum length sequences. A new Kasami sequences small set processing approach based on a dual basis is considered.

About the Authors

S. .. Vladimirov
The Bonch-Bruevich Saint-Petersburg State University of Telecommunications
Russian Federation


O. .. Kognovitsky
The Bonch-Bruevich Saint-Petersburg State University of Telecommunications
Russian Federation


References

1. Лосев В.Р., Бродская Е.Б., Коржик В.И. Поиск и декодирование сложных дискретных сигналов. М.: Связь, 1979. 302 с.

2. Диксон Р.К. Широкополосные системы. М.: Связь, 1979. 304 с.

3. Ипатов В.П. Широкополосные системы и кодовое разделение сигналов. Принципы и приложения. М.: Техносфера, 2007. 488 с.

4. Kasami T. Weight Distribution Formula for Some Class of Cyclic Codes. Technical Report R285. April 1966. Illinois: University of Illinois. 32 p.

5. Yefeng H.E., Wenping M.A. Generalized Kasami Sequences: The Small Set // Journal of Computational Information Systems. 2011. No. 7. PP. 4065-4070.

6. Косолапов А.С., Второв А.В. Координатный метод синхронизации и распознавания двоичных составных кодовых последовательностей // Инженерный журнал: наука и инновации. 2014.№ 6(30).17 с.

7. Когновицкий О.С. Двойственный базис и его применение в телекоммуникациях. СПб.: Линк, 2009. 424 с.

8. Sarwate D.V., Pursley M.B. Crosscorrelation Properties of Pseudorandom and Related Sequences // Proceedings IEEE. Vol. 68. No. 5. May 1980. PP. 583-619.


Review

For citations:


Vladimirov S..., Kognovitsky O... THE SMALL SET OF KASAMI SEQUENCES AND THEIR DECODING BASED ON THE DUAL BASIS. Proceedings of Telecommunication Universities. 2018;4(1):22-31. (In Russ.)

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ISSN 1813-324X (Print)
ISSN 2712-8830 (Online)