Generating correlated QPSK waveforms by exploiting real gaussian random variables

The design of waveforms with specified auto- and cross-correlation properties has a number of applications in multiple-input multiple-output (MIMO) radar, one of them is the desired transmit beampattern design. In this work, an algorithm is proposed to generate quadrature phase shift-keying (QPSK) waveforms with required cross-correlation properties using real Gaussian random-variables (RV´s). This work can be considered as the extension of what was presented in [1] to generate BPSK waveforms. This work will be extended for the generation of correlated higher-order phase shift-keying (PSK) and quadrature amplitude modulation (QAM) modulation schemes that can better approximate the desired beampattern.