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Unit Circle Roots Based Sensor Array Signal Processing

Smith, Jared P.
http://orcid.org/0000-0003-3093-3816
http://rave.ohiolink.edu/etdc/view?acc_num=wright1653604410559568

Abstract Details

2022, Doctor of Philosophy (PhD), Wright State University, Electrical Engineering.
As technology continues to rapidly evolve, the presence of sensor arrays and the algorithms processing the data they generate take an ever-increasing role in modern human life. From remote sensing to wireless communications, the importance of sensor signal processing cannot be understated. Capon's pioneering work on minimum variance distortionless response (MVDR) beamforming forms the basis of many modern sensor array signal processing (SASP) algorithms. In 2004, Steinhardt and Guerci proved that the roots of the polynomial corresponding to the optimal MVDR beamformer must lie on the unit circle, but this result was limited to only the MVDR. This dissertation contains a new proof of the unit circle roots property which generalizes to other SASP algorithms. Motivated by this result, a unit circle roots constrained (UCRC) framework for SASP is established and includes MVDR as well as single-input single-output (SISO) and distributed multiple-input multiple-output (MIMO) radar moving target detection. Through extensive simulation examples, it will be shown that the UCRC-based SASP algorithms achieve higher output gains and detection probabilities than their non-UCRC counterparts. Additional robustness to signal contamination and limited secondary data will be shown for the UCRC-based beamforming and target detection applications, respectively.
Arnab K. Shaw, Ph.D. (Advisor)
Aboulnasr Hassanien, Ph.D. (Committee Member)
Fred D. Garber, Ph.D. (Committee Member)
Josh N. Ash, Ph.D. (Committee Member)
Michael A. Saville, Ph.D., P.E. (Committee Member)
217 p.
Electrical Engineering
Adaptive Filtering; Beamforming; Unit Circle Roots; Radar; Signal Processing; Array Processing

Recommended Citations

Citations

  • Smith, J. P. (2022). Unit Circle Roots Based Sensor Array Signal Processing [Doctoral dissertation, Wright State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=wright1653604410559568

    APA Style (7th edition)

  • Smith, Jared. Unit Circle Roots Based Sensor Array Signal Processing. 2022. Wright State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=wright1653604410559568.

    MLA Style (8th edition)

  • Smith, Jared. "Unit Circle Roots Based Sensor Array Signal Processing." Doctoral dissertation, Wright State University, 2022. http://rave.ohiolink.edu/etdc/view?acc_num=wright1653604410559568

    Chicago Manual of Style (17th edition)

wright1653604410559568
186
© 2022, all rights reserved.
This open access ETD is published by Wright State University and OhioLINK.