Receive Filter Design Considering a Complete Second Order Characterization
Keywords:mismatched filter, correlation analysis, sidelobe level, sequences , optimization, linear systems
In active sensing applications the design of sequences that improve the estimation and detection of objects in a medium is of fundamental interest. Two approaches are commonly employed to process the received data and improve range resolution as well as target detection. They consist in the use of either a matched or a mismatched filter. The synthesis of these filters is based upon criteria that consider the correlation of the processed signals, which contain all the information required to obtain estimates of profiles that can be modeled as strictly linear systems. Here, the analysis is extended to widely linear systems, imposing additional restrictions on the filters design. The analysis for the considered scenario reveals that a complete second order characterization of the signals involved should be taken into account. Numerical results are provided, where the minimization of the sidelobe levels due to the correlation and the complementary correlation is used as a reference to construct probing sequences and receive filters.