In order to simulate the processing of SAR data, we received SAR data from the ECE department at Ohio State University. The data they gave us was acquired through a computer simulated fly-by past a CAD model of a backhoe.

The data we received from OSU was in digital format, meaning the analog mixing and low pass filtering was already completed and we received digitized versions of Cθ(t). This function was shown to be equivalent to Pθ(U), the Fourier transform of our projection slices pθ(u). The matlab file that contained this information was a 512x1541 matrix iq_lin, a vector of various Pθ signals for different values of θ, the viewing angle. There were 1541 different viewing angles, listed in az_lin, that stepped by 1/14˚ for each element and varied from -10˚ to 100˚, a median viewing angle of 45˚. We also received a vector of length 512 called f that contained the microwave frequencies (7-13 GHz) that were transmitted and received. By using the wideband approximation, we made the transformation from time frequency to spatial frequency via

where R is the radial spatial frequency and f is the microwave frequency content. By the projection slice theorem, we have that the various Pθ are arranged radially in a polar grid along the various angles θ. We then get that our data lies on a domain