In order to solve the issue of high range sidelobe level of LFM noise radar waveform, a new design method of low sidelobe level LFM noise radar waveform is presented, which is a combination of low sidelobes level waveform design method and LFM noise radar waveform design method. Firstly, the objective function of the low sidelobes level optimization problem is established, and the relation between the quadratic phase factor and random phase factor is used as constraint functions. Then, to solve the optimization problem with constraint functions, Modified Cycle Algorithm New (MCAN) is proposed, which can be solved by iterative algorithm. Finally, simulation results show that this algorithm can effectively suppress range-Doppler sidelobe level, and keep excellent performance in stationary targets and movement targets scenario, it also possesses low probability of intercept.
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