Abstract:

For the high range sidelobes of the output of separately optimizing the phase coded waveform and mismatched filter, a joint optimization method for the  phase coded waveform with the constant mainlobe width (PCW-CMW) and mismatched filter is proposed. First, given the duration time of the transmit waveform and a needed range resolution, a criterion of jointly optimizing the PCW-CMW and mismatched filter is proposed. Then, based on a penalty method and the theory of p-norm, we reformulate the constraint and non-smooth optimization problem as an unconstraint and smooth optimization one. Finally, we use a least-pth algorithm to address it. Numerical results indicate that under the given duration time of the transmit waveform and keeping a constant range resolution, the peak sidelobe level of the joint optimization method can be decreased by 10.72dB and 4.77dB, respectively, compared with the separate design methods of the PCW and mismatched filter.

Key words: waveform design, phase coded waveform, constant mainlobe width, mismatched filter, joint optimization