We consider the design of radar transmit waveforms that are optimal for the purposes of detecting multiple unknown targets in a known interference environment. Specifically, we introduce constraints on the waveform's autocorrelation function, which is of fundamental importance in practice. The incorporation of autocorrelation constraints leaves the problem analytically intractable, and numeric techniques must be employed. We introduce the concept of "waveform optimized performance" in order to provide a framework for suggesting and analyzing various approaches. We show that unlike the solutions to the more relaxed formulations found in the literature, eigenfunction solutions are no longer optimal, and the Neyman-Pearson receiver is no longer the most appropriate choice for many scenarios. Furthermore, for some scenarios, numeric solutions to the autocorrelation-constrained problems can provide signal-to-interference-plus-noise ratio improvements comparable to the solutions of the more relaxed formulations found in the literature. \RDManuscript received March 7, 2009; revised September 7, 2010; released for publication February 21, 2011.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Autocorrelation Constraints in Radar Waveform Optimization for Detection


    Contributors:


    Publication date :

    2012-04-01


    Size :

    3051759 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Phase Retrieval for Radar Waveform Optimization

    Patton, L. K. / Rigling, B. D. | IEEE | 2012



    Novel Radar Waveform Optimization for a Cooperative Radar-Communications System

    Chiriyath, Alex Rajan / Ragi, Shankarachary / Mittelmann, Hans D. et al. | IEEE | 2019

    Free access


    Joint Design of Radar Waveform and Detector via End-to-End Learning With Waveform Constraints

    Jiang, Wei / Haimovich, Alexander M. / Simeone, Osvaldo | IEEE | 2022