Constant-Modulus Finite Alphabet Signal Design for Given Correlation Matrix

Designing signal to satisfy specific correlation relationships is a frequently encountered question in the signal processing field. In this paper, we present an effective unimodular finite alphabet signal design method for a given correlation matrix. The constant modulus and finite phase alphabet constraints are practically motivated for the ease of signal generation. We leverage an alternating optimization scheme to transform the original NP-hard problem into two relatively simple questions, both of which benefit from closed-form solutions. The correlation matrix of the designed signal is compared to the desired correlation matrix and good approximation is achieved.