Constant envelope waveform design for MIMO radar

A method for generating constant envelope (CE) waveforms to realise a given covariance matrix for a closely spaced MIMO radar system is proposed. In contrast to available algorithms, the technique provides closed form solutions for finding the required waveforms and suggests that waveforms can be chosen from finite alphabets such as binary-phase shift keying (BPSK) and quadrature-phase shift keying (QPSK). Gaussian random-variables (RV´s) are mapped onto CE non-Gaussian RV´s using memoryless non-linear functions. The relationship between the correlation of Gaussian RV´s at the input to the nonlinear functions and non-Gaussian RV´s at their output is established. Simulation results are presented to demonstrate the effectiveness of the methodology.