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On the Satisfaction of Modulus and Ambiguity Function Constraints in Radar Waveform Optimization for Detection

Patton, Lee Kenneth

Abstract Details

2009, Doctor of Philosophy (PhD), Wright State University, Engineering PhD.
We consider the design of radar systems that are capable of using knowledge of their interference environment to dynamically design transmit waveforms that afford optimum signal-to-interference-plus-noise ratio while satisfying modulus and ambiguity function constraints. We begin by establishing the inextricable nature of modulus constraints in the waveform optimization problem. We then extend the state of the art in waveform optimization to accommodate these constraints. This is done by solving a secondary optimization problem using the method of alternating projections. We demonstrate that this approach can be a computationally efficient alternative to dynamic programming methods. We then consider the multiple-target detection problem, which is the basis for introducing ambiguity function constraints into the waveform design process. We formulate the waveform optimization problem for several receiver architectures, and solve these problems using sequential quadratic programming and interior point methods. Finally, we address the need for a more computationally tractable approach by considering a number of suboptimal formulations. This includes a novel formulation based on a parametrization of nonlinear frequency modulation.
Brian Rigling, PhD (Advisor)
Kefu Xue, PhD (Committee Member)
Zhiqiang Wu, PhD (Committee Member)
Michael Bryant, PhD (Committee Member)
Mark Oxley, PhD (Committee Member)
164 p.

Recommended Citations

Citations

  • Patton, L. K. (2009). On the Satisfaction of Modulus and Ambiguity Function Constraints in Radar Waveform Optimization for Detection [Doctoral dissertation, Wright State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=wright1247595193

    APA Style (7th edition)

  • Patton, Lee. On the Satisfaction of Modulus and Ambiguity Function Constraints in Radar Waveform Optimization for Detection. 2009. Wright State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=wright1247595193.

    MLA Style (8th edition)

  • Patton, Lee. "On the Satisfaction of Modulus and Ambiguity Function Constraints in Radar Waveform Optimization for Detection." Doctoral dissertation, Wright State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=wright1247595193

    Chicago Manual of Style (17th edition)