Publication Date


Document Type


Committee Members

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)

Degree Name

Doctor of Philosophy (PhD)


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.

Page Count


Department or Program

Ph.D. in Engineering

Year Degree Awarded




Included in

Engineering Commons