1989•International Journal of ElectronicsRequires access

Product sequences with good correlation properties

D.H. Green

Abstract

The structure of the autocorrelation function of sequences which are the products of factor sequences with known autocorrelation functions is investigated. A means of constructing binary sequences with good correlation properties is presented. It is also shown that this procedure, when applied to sets of sequences, preserves the cross-correlation properties of the factor sequences. The results are also extended to the non-binary case where it is also demonstrated that sequences with similar segmentation and correlation structures to q-ary m-sequences can be constructed which have lengths other than q n − 1.

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Key concepts: Autocorrelation, Complementary sequences, Mathematics, Binary number, Product (mathematics), Correlation, Pseudorandom binary sequence, Correlation function (quantum field theory)