40 / 2019-12-09 06:49:00

Constant Modulus Sequence Set Design via ADMM Approach

Constant modulus sequence; auto/cross-correlation; ADMM; parallel algorithm

IEEE SAM 2020: Special Sessions > Cognitive Waveform Diversity Design and Signal Processing

Constant modulus sequences with good correlation properties are desired in wireless communication and radar applications. In this paper, we focus on designing these kinds of sequences and the main content is as follows: first, we formulate the design problem as a quartic polynomial minimization problem with constant modulus constraints. Then, by introducing auxiliary variables, the polynomial minimization problem is equivalent to a nonconvex consensus problem. Second, we develop a low-complexity consensus alternating direction method of multipliers (consensus-ADMM) algorithm, in which all subproblems can be performed in parallel with analytical solutions. Third, we prove that the consensus-ADMM algorithm can converge to some stationary point of the original nonconvex problem. Numerical simulation results show that the proposed algorithm offers better performance than the state-of-the-art approaches.