We consider the problem of minimizing the disturbance power at the output of the matched filter in a single antenna cognitive radar set-up. The aforementioned disturbance power can be shown to be an expectation of the slow-time ambiguity function (STAF) of the transmitted waveform over range-Doppler bins of interest. The design problem is known to yield a nonconvex quartic function of the transmit radar waveform. This STAF shaping problem becomes even more challenging in the presence of practical constraints on the transmit waveform such as the constant modulus constraint (CMC). Most existing approaches address the aforementioned challenges by suitably modifying or relaxing the design cost function and/or the CMC. In a departure from such methods, we develop a solution that involves direct optimization over the nonconvex complex circle manifold, i.e., the CMC set. We derive a new update strategy [quartic-gradient-descent (QGD)] that computes an exact gradient of the quartic cost and invokes principles of optimization over manifolds toward an iterative procedure with guarantees of monotonic cost function decrease and convergence. Experimentally, QGD can outperform state-of-the-art approaches for shaping the ambiguity function under the CMC while being computationally less expensive.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Quartic Gradient Descent for Tractable Radar Slow-Time Ambiguity Function Shaping


    Contributors:


    Publication date :

    2020-04-01


    Size :

    8651597 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Ambiguity Function for a Bistatic Radar

    Tsao, T. | Online Contents | 1997


    Ambiguity function for a bistatic radar

    Tsao, T. / Slamani, M. / Varshney, P. et al. | IEEE | 1997


    Slow descent anti-crash aircraft and slow descent method thereof

    LIU SHAOBAO / LIN YITING / SUN YUHAN et al. | European Patent Office | 2022

    Free access

    Generalized Ambiguity Function for MIMO Radar Systems

    Ilioudis, Christos V. / Clemente, Carmine / Proudler, Ian K. et al. | IEEE | 2019


    Ambiguity function of quadriphase coded radar pulse

    Levanon, N. / Freedman, A. | IEEE | 1989