High-Resolution Radar via Compressed Sensing

Mathematics – Numerical Analysis

Scientific paper

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New: Extended theory to include case of noisy signals; Re-ran numerical simulations with complex-valued data; Clarified defini

Scientific paper

A stylized compressed sensing radar is proposed in which the time-frequency plane is discretized into an N by N grid. Assuming the number of targets K is small (i.e., K much less than N^2), 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.

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