A stylized compressed sensing radar is proposed in which the timefrequency plane is discretized into an N × N grid. Assuming the number of targets K is small (i.e., K N2 ), then we can transmit a sufficiently “incoherent” pulse and employ the techniques of compressed sensing to reconstruct the target scene. A theoretical upper bound on the sparsity K is presented. Numerical simulations verify that even better performance can be achieved in practice. This novel compressed sensing approach offers great potential for better resolution over classical radar.
Matthew A. Herman, Thomas Strohmer