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1826191659886444544
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| author2 |
Massachusetts Institute of Technology. Digital Signal Processing Group
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| author_facet |
Massachusetts Institute of Technology. Digital Signal Processing Group
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| collection |
MIT
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| description |
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.
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2024-09-23T08:59:23Z
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Article
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| id |
mit-1721.1/72688
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| institution |
Massachusetts Institute of Technology
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| language |
en_US
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2024-09-23T08:59:23Z
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| publishDate |
2012
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| publisher |
Institute of Electrical and Electronics Engineers (IEEE)
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dspace
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| spelling |
mit-1721.1/726882024-06-07T20:32:09Z Sinc interpolation of nonuniform samples Massachusetts Institute of Technology. Digital Signal Processing Group Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Oppenheim, Alan V. 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. 2012-09-13T15:16:38Z 2012-09-13T15:16:38Z 2011-06 2010-10 Article http://purl.org/eprint/type/JournalArticle 1053-587X http://hdl.handle.net/1721.1/72688 Maymon, Shay, and Alan V. Oppenheim. “Sinc Interpolation of Nonuniform Samples.” IEEE Transactions on Signal Processing 59.10 (2011): 4745–4758. en_US http://dx.doi.org/10.1109/TSP.2011.2160054 IEEE Transactions on Signal Processing Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) IEEE
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| spellingShingle |
Sinc interpolation of nonuniform samples
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| title |
Sinc interpolation of nonuniform samples
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| title_full |
Sinc interpolation of nonuniform samples
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| title_fullStr |
Sinc interpolation of nonuniform samples
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| title_full_unstemmed |
Sinc interpolation of nonuniform samples
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| title_short |
Sinc interpolation of nonuniform samples
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| title_sort |
sinc interpolation of nonuniform samples
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| url |
http://hdl.handle.net/1721.1/72688
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