Optimal Waveform Design for Instantaneous Polarization Radar via Spectral Approximation

To reduce estimation error caused by high correlation level of two transmitted waveforms, a novel method is proposed to design a couple of waveforms with low correlation level, named Phase Only Spectral Approximation Algorithm (POSAA). Firstly, the object function is constructed under the rule of minimizing the integrated sidelobe level. Secondly, the object function is derived in frequency domain based on spectral approximation, according to the relationship between correlation sequences and the power spectral density of waveforms. Finally, the object function is optimized by trust region algorithm using its gradient and Hessian matrix. The numerical simulations have demonstrated that the designed waveforms posses a good correlation level, and the error of received target polarization information using this waveform is much less than others.