Open AccessDesign of unimodular sequences with real periodic correlation and complementary correlation
Author(s) -
ArriagaTrejo I.A.,
FloresTroncoso J.,
Villanueva J.,
Simón J.
Publication year - 2016
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2015.3694
Subject(s) - correlation , unimodular matrix , mathematics , computer science , statistics , algorithm , topology (electrical circuits) , discrete mathematics , combinatorics , geometry
The design of unimodular sequences of even length N that possess impulse‐like periodic correlation and non‐zero complementary correlation coefficients at lags l = − N /2 and l = N /2, is addressed. The parameters that define the sequences are determined by minimising the integrated side lobe using the limited‐memory Broyden‐Fletcher‐Goldfarb‐Shanno optimisation method. It is shown that the objective function and its gradient can be efficiently evaluated using the fast Fourier transform.