Adaptive p-norm weighted cyclic algorithm-new algorithm for designing unimodular multiple input multiple output radar waveforms with good correlations

This letter formulates a high-dimensional multi-objective optimization model to minimize all correlation function values for multiple input multiple output (MIMO) radar waveforms. Then, to solve this problem, this letter proposes an adaptive weighted cyclic algorithm-new (CAN), named p-norm weighted cyclic algorithm-new (p-WeCAN). Specifically, the adaptive weight updating function is constructed using p-norm to minimize peak side-lobe level (PSL) and integrated side-lobe level (ISL) simultaneously. Numerical results show that the p-norm weighted cyclic algorithm-new obtains similar PSL values as the best PSL minimization algorithm and low integrated side-lobe level values close to its lower bound at the same time.