Compressed sensing maximum likelihood channel estimation for ultra-wideband impulse radio

  • Authors:
  • Ted C.-K. Liu;Xiaodai Dong;Wu-Sheng Lu

  • Affiliations:
  • Department of Electrical and Computer Engineering, University of Victoria, Victoria, BC, Canada;Department of Electrical and Computer Engineering, University of Victoria, Victoria, BC, Canada;Department of Electrical and Computer Engineering, University of Victoria, Victoria, BC, Canada

  • Venue:
  • ICC'09 Proceedings of the 2009 IEEE international conference on Communications
  • Year:
  • 2009

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Abstract

One of the most attractive features of ultra-wideband impulse radio is the collection of rich multipath with the transmission of ultra-short pulses. Exploiting the rich multi-path diversity with channel estimating Rake receivers enables significant energy capture, higher performance and flexibility than suboptimal receivers. Although data-aided (DA) maximum likelihood (ML) channel estimator shows a promising performance, its implementation is restricted by the Nyquist sampling criterion. The emerging theory of compressed sensing (CS) describes a novel framework to jointly compress and detect a sparse signal with fewer samples than the traditional Nyquist criterion. In this paper, we propose a CS-ML channel estimator which combines the compression framework of CS for sampling rate reduction while retaining the noise statistics formulation of ML to achieve a reliable performance. Simulation assessment indicates that, with far fewer measurements, the performance of our proposed scheme supersedes that of the l1-norm minimization estimator of CS and can be as close as the ML, but with a reduction in complexity.