Discretizing Space to Make a Dictionary Matrix for Bistatic Compressive Sensing Detection

Recent research has focussed on the use of compressive sensing for detection in both monostatic and bistatic radar systems. However, such work has not considered many of the practical aspects of implementing a detection algorithm. This letter looks at how the geometry of pulse chasing in a bistatic radar system can be used to reduce the dimensionality of the estimation problem for compressive sensing by only considering the region illuminated by the transmitter that is visible to the receiver. Specifically, a method of determining the extent of the transmit beam in the receiver\´s local $u-v$ coordinate system is presented. Given this extent, the compressive sensing dictionary matrix can be formed over the discretized region.