Phase code optimization for coherent MIMO radar via a gradient descent

In this paper, a gradient descent method is used to build radar waveform sequences with good autocorrelation and/or cross-correlation. The approach we propose is based on the energy, a function that measures the sidelobe level of a sequence, and its gradient. Then, we extend and apply it to the optimization of the coherent MIMO (Multiple Input Multiple Output) ambiguity function. We suggest to look for the transmitted signals that reduce the autocorrelation sidelobe level of the signal transmitted by the whole antenna. The obtained results, highlighted by the low sidelobe level of the ambiguity function, seem promising.