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In this paper, we design low correlation binary sequences favorable inwireless communication and radar applications. First, we formulate thedesigning problem as a nonconvex combination optimization problem with flexiblecorrelation interval; second, by relaxing constraints and introducing auxiliaryvariables, the original minimization problem is equivalent to a consensuscontinuous optimization problem; third, to achieve its good approximatesolution efficiently, we propose the distributed executable algorithms based onalternating direction method of multipliers (ADMM); fourth, we prove that theproposed ADMM algorithms can converge to some stationary point of theapproximate problem. Moreover, the computational complexity analysis isconsidered. Simulation results demonstrate that the proposed ADMM approachesoutperform state-of-the-art ones in either computational cost or selection ofcorrelation interval of the designed binary sequences.

Designing Binary Sequence Set with Optimized Correlation Properties via ADMM Approach