The synthesis of a three-component composite codes subclass having extra large ensemble size

Аuthors

Mikhaylov V. Y.

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

e-mail: mihvj@yandex.ru

Abstract

An original construction of three-component composite codes, potentially having extra large ensemble size was proposed. The codes construction requires special algebraic relations between the code components, which serve as codes of maximum length. The basic characteristics of three-component composite codes correlation functions analysis was implemented. Completeness of a mathematical analysis allowed us to determine the necessary and sufficient conditions for the synthesis of codes required quality. The results are general for the codes subclass and are useful to build a powerful quasiorthogonal encoded signals ensembles required quality in the design of future asynchronous-address and command aerospace telecommunications systems.

Keywords:

three-component composite codes; signal ensembles, analysis; synthesis; correlation functions; asynchronous address systems; aerospace telecommunications systems.