Generalized Regular Sampling of Trigonometric Polynomials and Optimal Sensor Arrangement
Name
Deshpande-2010-Generalized Regular Sampling of Trigonometric Polynomials and Optimal Sensor Arrangement.pdf
Size
231.97 KB
Format
Adobe PDF
Checksum (MD5)
d7faa6c5b7296430feb019d924c8877f
Author(s)
Goyal, Vivek K.
Deshpande, Ajay A.
Sarma, Sanjay E
Date Issued
February 2010
Journal
IEEE Signal Processing Letters
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Deshpande, A., S.E. Sarma, and V.K. Goyal. “Generalized Regular Sampling of Trigonometric Polynomials and Optimal Sensor Arrangement.” IEEE Signal Processing Letters 17.4 (2010): 379–382. Web. 5 Apr. 2012. © 2010 Institute of Electrical and Electronics Engineers
Version
Final published version
Abstract
We address the optimal sensor arrangement problem, which is the determination of a geometric configuration of sensors such that the mean-squared error (MSE) in the estimation of an unknown trigonometric polynomial is minimum. Unsurprisingly, an arrangement in which sensors are spaced uniformly in each dimension is optimal. However, for multidimensional problems the minimum MSE is achieved with a much larger class of configurations that we call generalized regular arrangements. These arrangements are not necessarily generated by lattices and may exhibit great nonuniformity locally.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Laboratory for Electromagnetic and Electronic Systems
Massachusetts Institute of Technology. Laboratory for Manufacturing and Productivity
Massachusetts Institute of Technology. Research Laboratory of Electronics
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
https://doi.org/10.1109/lsp.2010.2041962
