Signal Algebra Operators for SAR PSF Hardware Computations

Advances in information technologies are narrowing the gap that traditionally existed between computing methods for radar signal processing, digital communications, and digital signal processing in general. A new field is becoming more stable as new applications and challenges are met for on board, real time operations. This field is termed computing methods for radar communications signal processing, and it deals primarily with the analysis, design, and implementation of digital signal processing computing methods radar signal communications operations. Special attention is being given in this area to efficient implementation of signal operators for object domain to spectral domain transformations. This endeavor is somewhat straightforward when treating small-size one-dimensional signals. In dealing with multidimensional signals, we encounter a great many difficulties. These difficulties are compounded as the signals increase in size and dimension. New computing methods frameworks are sought in order to aid multidimensional digital signal processing and enhance radar signal communications implementation efforts. The work presented here deals with basic signal algebra concepts in the formulation of Kronecker Fourier factors as signal operators for discrete cross-ambiguity function processing in SAR point spread function (PSF) modeling. ∗This work was supported in part by NSF Grant 9977071.