To solve the confliction between auto-correlation and cross-correlation of waveforms transmitted by instantaneous polarization radar

the receiver filter is optimized in this paper.The optimal filter is designed to decrease the interference between the range gates and channels

improve the estimation accuracy of polarization scattering matrix (PSM) and the detection performance of radar.Firstly

the target echo is modeled.The estimation error of PSM is analyzed.Secondly

the filter for each polarization channel is optimized via convex optimization

which is based on the minimum the sum of estimation error.Finally

the performance of the filter is analyzed in a variety of typical scenarios

e.g.

single stationary target

motional targets

multiple targets

etc.It is demonstrated that this method is effective by numerical examples using both simulation and experiment data.The research is valuable for the receiver design and implement of instantaneous polarization radar.