Phased array radar systems have proven advantageous in a variety of research applications, offering faster volume scans and unparalleled time-resolution as compared to traditional parabolic dish antenna systems that rely solely on mechanical systems for controlling the direction of radiation. As such, research has accelerated the development of practical phased array systems to realize their full vision. In particular, next generation phased array systems aim to provide additional advantages in the form of re-configurable beam patterns, adaptive digital beamforming, multiple-input multiple-output (MIMO) radar modes, and other software-defined technologies. However, to fully realize a paradigm shift in phased array technology, especially as the ratio of array to sub-array size becomes greater, this requires a corresponding increase in novel digital backend architectures to fully achieve this vision. Therefore, new methods for control, calibration, and performance optimization are required to enable next-generation phased array systems to reach their potential. In this thesis, a variety of practical engineering challenges related to phased array system design are discussed, with system-level implications and relevant theory included where necessary. For instance, for the first time, as explained in this thesis, a GPS disciplined, time-interleaved measurement technique that leveraged real-time control of a beamformer was developed to enable accurate post-processing correction of the phase drift that results from clocking differences between noncoherent physically separated bistatic nodes. In addition, laboratory efficacy of digital predistortion using the memory-polynomial model has been confirmed for the purpose of maximizing an element's usable power while minimizing spectral spreading and achieving desirable output linearity during operation, and a novel method for training predistortion models comprised of a combined software-defined and physical mechanism for measuring transmitter front-end distortion for elements within a digital-at-every element array has been proposed and verified in the lab
