English

High-Resolution Radar via Compressed Sensing

Numerical Analysis 2015-05-13 v2 Information Theory math.IT

Abstract

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.

Keywords

Cite

@article{arxiv.0803.2257,
  title  = {High-Resolution Radar via Compressed Sensing},
  author = {Matthew A. Herman and Thomas Strohmer},
  journal= {arXiv preprint arXiv:0803.2257},
  year   = {2015}
}

Comments

New: Extended theory to include case of noisy signals; Re-ran numerical simulations with complex-valued data; Clarified definition of "random signal"; Minor language and typo fixes; 14 pages, 13 figures. Accepted to IEEE Transactions on Signal Processing, December 2008

R2 v1 2026-06-21T10:21:46.051Z