4 September 2009 Multiple channel estimation using spectrally random probes
Author Affiliations +
We consider the problem of estimating the channel response between multiple source receiver pairs all sensing the same medium. A different pulse is sent from each source, and the response is measured at each receiver. If each source sends its pulse while the others are silent, estimating the channel is a classical deconvolution problem. If the sources transmit simultaneously, estimating the channel requires "inverting" an underdetermined system of equations. In this paper, we show how this second scenario relates to the theory of compressed sensing. In particular, if the pulses are long and random, then the channel matrix will be a restricted isometry, and we can apply the tools of compressed sensing to simultaneously recover the channels from each source to a single receiver.
© (2009) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Justin Romberg, Justin Romberg, } "Multiple channel estimation using spectrally random probes", Proc. SPIE 7446, Wavelets XIII, 744606 (4 September 2009); doi: 10.1117/12.829895; https://doi.org/10.1117/12.829895


Quasi-symmetric designs and equiangular tight frames
Proceedings of SPIE (August 23 2015)
Characterizing L1-norm best-fit subspaces
Proceedings of SPIE (May 04 2017)
Multi-seam carving via seamlets
Proceedings of SPIE (February 03 2011)
Compressed sensing of autoregressive processes
Proceedings of SPIE (September 04 2009)
3D discrete shearlet transform and video denoising
Proceedings of SPIE (September 27 2011)

Back to Top