Sinc interpolation of nonuniform samples
Name
Oppenheim_Sinc interpolation.pdf
Size
4.57 MB
Format
Adobe PDF
Checksum (MD5)
bcb8cb3415fd3c4beb5ed7cfd39e2345
Date Issued
June 2011
Journal
IEEE Transactions on Signal Processing
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Maymon, Shay, and Alan V. Oppenheim. “Sinc Interpolation of Nonuniform Samples.” IEEE Transactions on Signal Processing 59.10 (2011): 4745–4758.
Version
Author's final manuscript
Abstract
It is well known that a bandlimited signal can be uniquely recovered from nonuniformly spaced samples under certain conditions on the nonuniform grid and provided that the average sampling rate meets or exceeds the Nyquist rate. However, reconstruction of the continuous-time signal from nonuniform samples is typically more difficult to implement than from uniform samples. Motivated by the fact that sinc interpolation results in perfect reconstruction for uniform sampling, we develop a class of approximate reconstruction methods from nonuniform samples based on the use of time-invariant lowpass filtering, i.e., sinc interpolation. The methods discussed consist of four cases incorporated in a single framework. The case of sub-Nyquist sampling is also discussed and nonuniform sampling is shown as a possible approach to mitigating the impact of aliasing.
MIT Department
Massachusetts Institute of Technology. Digital Signal Processing Group
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1109/TSP.2011.2160054
