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Analysis of Sparse Channel Estimation

Carroll, Brian Michael
http://rave.ohiolink.edu/etdc/view?acc_num=osu1244045602

Abstract Details

2009, Master of Science, Ohio State University, Electrical and Computer Engineering.
Channel Estimation is an essential component in applications such as radar and data communication. In multi path time varying environments, it is necessary to estimate time-shifts, scale-shifts (the wideband equivalent of Doppler-shifts), and the gains/phases of each of the multiple paths. With recent advances in sparse estimation (or “compressive sensing”), new estimation techniques have emerged which yield more accurate estimates of these channel parameters than traditional strategies. These estimation strategies, however, restrict potential estimates of time-shifts and scale-shifts to a finite set of values separated by a choice of grid spacing. A small grid spacing increases the number of potential estimates, thus lowering the quantization error, but also increases complexity and estimation time. Conversely, a large grid spacing lowers the number of potential estimates, thus lowering the complexity and estimation time, but increases the quantization error. In this thesis, we derive an expression which relates the choice of grid spacing to the mean-squared quantization error. Furthermore, we consider the case when scale-shifts are approximated by Doppler-shifts, and derive a similar expression relating the choice of the grid spacing and the quantization error. Using insights gained from these expressions, we further explore the effects of the choice and grid spacing, and examine when a wideband model can be well approximated by a narrowband model.
Philip Schniter, PhD (Advisor)
Potter Lee, PhD (Committee Member)
Electrical Engineering
channel estimation; sparse reconstruction; compressed sensing

Recommended Citations

Citations

  • Carroll, B. M. (2009). Analysis of Sparse Channel Estimation [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1244045602

    APA Style (7th edition)

  • Carroll, Brian. Analysis of Sparse Channel Estimation. 2009. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1244045602.

    MLA Style (8th edition)

  • Carroll, Brian. "Analysis of Sparse Channel Estimation." Master's thesis, Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1244045602

    Chicago Manual of Style (17th edition)

osu1244045602
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© 2009, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.