radioelectronicsИзвестия высших учебных заведений России. РадиоэлектроникаJournal of the Russian Universities. Radioelectronics1993-89852658-4794Saint Petersburg Electrotechnical University10.32603/1993-8985-2019-22-4-6-17radioelectronics-350Research ArticleОБЗОРНАЯ СТАТЬЯREVIEW ARTICLEРетроспективный обзор троичных последовательностей с идеальной периодической автокорреляцией и устройств их генерацииRetrospective Review of Perfect Ternary Sequences and Their Generatorshttps://orcid.org/0000-0002-9116-8057КренгельЕ. И.KrengelEvgeny I.

кандидат технических наук (2002), ведущий научный сотрудник

Cand. Sci. (Engineering) (2002), leading researcher 

 

evg.krengel@gmail.comАкционерное общество "Современные беспроводные технологии"РоссияJSC "Modern wireless technologies" (JSC "SBT")Russian Federation201901102019224617Copyright © Кренгель Е.И., 20192019Кренгель Е.И.Krengel E.I.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://re.eltech.ru/jour/article/view/350Введение

Введение. Идеальные многофазные унимодулярные последовательности, т. е. последовательности с идеальной периодической автокорреляцией и единичной амплитудой символов, широко используются в современной радиосвязи и радиолокации. Особое место среди них занимают идеальные троичные последовательности (ИТП) с элементами {–1, 0, 1}. ИТП достаточно многочисленны, а их длина в отличие от идеальных двоичных последовательностей не ограничена сверху. Известен обзор ИТП, сделанный Фаном и Дарнеллом в 1996 г. Однако за прошедшие два десятилетия были открыты новые многочисленные семейства ИТП, установлены связи между ИТП и циркулянтными взвешенными матрицами, получены теоремы о существовании ИТП с определенными параметрами. Поэтому возникла потребность в новом современном обзоре известных на сегодня ИТП.

Цель работы

Цель работы. Обзор современных ИТП предназначен для разработчиков радиоэлектронных систем, в которых используются идеальные последовательности.

Материалы и методы

Материалы и методы. Рассмотрены и проанализированы отечественные и зарубежные источники информации (книги, журнальные статьи, труды конференций, патенты). Поиск осуществлялся в сети Интернете по ключевым словам с использованием Интернет-ресурсов Yandex и Google, а также в цифровых электронных библиотеках (Российской Государственной библиотеке (РГБ), IEEE Xplore Digital Library), в материалах конференций (Цифровая Обработка Сигналов и ее Применение (DSPA), Sequences and Their Applica-tions (SETA), и др.).

Результаты

Результаты. Наряду с решением информационно-библиографической задачи в обзоре показана взаимосвязь полученных в разное время ИТП, их эквивалентность циркулянтным взвешенным матрицам, а также рассмотрены устройства генерации известных семейств ИТП (Ипатова, Хохолдта-Джастесена и др.).

Заключение

Заключение. Представлен ретроспективный обзор ИТП; рассмотрены генераторы известных семейств ИТП. Результаты исследования актуальны для применения в современных системах радиосвязи и радиолокации, в частности в CW- и LPI-радарах.

 

 

Introduction

Introduction. Perfect polyphase unimodular sequences, i.e. sequences with ideal periodic autocorrelation and single amplitude of symbols are widely used in modern radio communications and radars. Among them a special place is occupied by perfect ternary sequences (PTSs) with elements {–1, 0, 1}. PTSs are quite numerous and their length in comparison with perfect binary sequences is not limited from above. There is a well-known review of PTS families undertaken by Fan and Darnell in 1996. However, over the past two decades numerous new PTS families have been discovered. Connections between PTSs and circulant weighing matrices have been established and certain theorems on the existence of PTS existence for certain lengths have also been obtained. Therefore, there is a need for a new modern review of existing PTSs.

Objective

Objective. This review of existing PTSs is intended for developers of radio electronic systems using perfect sequences.

Materials and methods

Materials and methods. Domestic and foreign sources of information (books, journal papers, conference proceedings, patents) were considered and analysed. A Web search was carried out based on keywords using resources of Yandex and Google, as well as in digital electronic libraries (Russian State Library (RSL), IEEE Xplore Digital Library), conference materials (Digital Signal Processing and its Application (DSPA), Sequences and their Applications (SETA), etc.).

Results

Results. In addition to the matter of collating an informational bibliography, the review shows the relationship between PTSs obtained at different times and their connection with circulant weighing matrices. The review also describes the generators of known PTS families (Ipatov, Hoholdt-Justensen, etc.).

Conclusion

Conclusion. A retrospective review of PTSs is herein presented and the generators of certain known PTS families have been considered. The results of the study are relevant for use in modern radio communications and radar systems and in CW and LPI radars in particular.

 

 

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The authors declare that there are no conflicts of interest present.