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Design of unimodular sequences with good autocorrelation and good complementary autocorrelation properties

Citation Author(s):
I. A. Arriaga-Trejo, A. G. Orozco-Lugo, J. Trancoso
Submitted by:
Israel Arriaga-Trejo
Last updated:
9 November 2017 - 11:40am
Document Type:
Document Year:
Presenters Name:
Israel Alejandro Arriaga-Trejo
Paper Code:



Complex sequences with constant magnitude in the time domain and good aperiodic autocorrelation properties are of fundamental interest due to its applications. Their design typically involves the minimization of a nonlinear function that strives to make equal to zero the correlation coefficients in a region of interest. In this letter, the design of unimodular sequences whose aperiodic autocorrelation and aperiodic complementary autocorrelation vanish for a given set of lags is proposed. The sequences are obtained by minimizing a generalized weighted integrated sidelobe level that depends on their complete second-order characterization. Numerical results show that the proposed sequences are ideally suited to identify strictly linear as well as widely linear systems.

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