The Study Of Ternary Array Pair With Two-level Autocorrelation And Punctured Ternary Array Pair With Two-level Autocorrelation

Sequence pair which has two-level correlation applied in Code Division Multiple Access(CDMA) communication system and cryptography. In a CDMA system, many users share the same bandwidth, but each user is assigned unique spread spectrum sequence. For minimize disturbance caused by correlation among sequences, one big problem of sequence design is construct lowest correlation sequence. By the reason of all users share the same bandwidth, sequence is easier to be eavesdropped by illegal users. Therefore, one of significant condition to accomplish requirement is that sequence should has better linear relevance.First, beginning from sequence analysis, propose sequence pair concept, and autocorrelation function value of sequence pair is derived after sequence research; and propose some typical sequence pair, prove its circulate autocorrelation has diversity.Then, discuss sequence pair application in spread communication and system, use sequence pair advantage autocorrelation to collect useful information; sequence pair figures out the signals which can detect sequence by each other in spread communication system.Finally, propose ternary array pair with two-level autocorrelation, improve the style of array pair existed, combine the concept and properties of two-level autocorrelation and perfect ternary array pairs to provide theory knowledge for ternary array with two-level autocorrelation, also combine ternary array with two-level autocorrelation and punctured idea to construct punctured ternary array with two-level autocorrelation, complete the range of perfect discrete signal. In order to construct ternary array pair with two-level autocorrelation and punctured ternary array pair with two-level autocorrelation, we introduce folding construction and complex construction to replace traditional method searching signals required by programme by computer, and propose analysis of uniquenss of array pairs, prove its existence condition.