On the accuracy and resolution of powersum-based sampling methods
Name
Kusuma_On-the-Accuracy.pdf
Size
473.02 KB
Format
Adobe PDF
Checksum (MD5)
a4d8e43804c3b6c2481581a8012a99b2
Author(s)
Kusuma, Julius
Goyal, Vivek K.
Date Issued
January 2009
Journal
IEEE Transactions on Signal Processing
Publisher
Institute of Electrical and Electronics Engineers
Citation
Kusuma, J., and V.K. Goyal. “On the Accuracy and Resolution of Powersum-Based Sampling Methods.” Signal Processing, IEEE Transactions on 57.1 (2009): 182-193. © 2008 IEEE
Version
Final published version
Abstract
Recently, several sampling methods suitable for signals that are sums of Diracs have been proposed. Though they are implemented through different acquisition architectures, these methods all rely on estimating the parameters of a powersum series. We derive Cramer-Rao lower bounds (CRBs) for estimation of the powersum poles, which translate to the Dirac positions. We then demonstrate the efficacy of simple algorithms due to Prony and Cornell for low-order powersums and low oversampling relative to the rate of innovation. The simulated performance illustrates the possibility of superresolution reconstruction and robustness to correlation in the powersum sample noise.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
http://dx.doi.org/10.1109/TSP.2008.2007102
