A Research on Sampling and Reconstruction Based on Minimal Norm

Article Preview

Abstract:

Based on the character that many channels should be used in the periodic non uniform sampling, this paper has transferred sampling to a matrix vector operation by the theory in confederate subspace. By adopting periodic non uniform sampling and reconstruction method basing L1 algorithm, this paper analyzed the reconstruction requirements of the Minimal L1 Norm in periodic non uniform sampling and perfectly reconstructed signals via interpolator. Last, take the multiband sinusoidal Signal as an example, a simulation has been conducted.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 403-408)

Pages:

1596-1600

Citation:

Online since:

November 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Richard Baraniuk. A Lecture on Compressive Sensing[J]. IEEE Signal Processing Magazine, 2007, 6(3): 88-97.

Google Scholar

[2] Emmanuel J. Candès. An Introduction To Compressive Sampling [J]. IEEE Signal Processing Magazine, 2008, 25(3): 21-30.

Google Scholar

[3] Chen Meng and Jamal Tuqan. Generalized Periodic Non-uniform Sampling of Non-bandlimited Signals[C]. Information Theory and Applications Workshop, San Diego, CA, USA, 2008, 417 - 421.

DOI: 10.1109/ita.2008.4601083

Google Scholar

[4] Ha T. Nguyen and Minh N. Do. Signal Reconstruction from a Periodic Nonuniform Set of Samples Using H∞Optimization[J]. IEEE Trans. Signal Proc., 2005, 53(5): 1731–1738.

Google Scholar

[5] D. Donoho. Compressed sensing[J]. IEEE Trans. Inform. Theory, 2006, 52(4): 1289–1306.

DOI: 10.1109/tit.2006.871582

Google Scholar

[6] Emamnuel J. Candès. Compressive sampling[C]. The International Congress of Mathematicians, Madrid, Spain, 2006, 1-20.

Google Scholar

[7] Shane F. Cotter. Sparse Solutions to Linear Inverse Problems With Multiple Measurement Vectors [J]. IEEE Tramscations on Signal Processing, 2005, 53(7): 2477–2489.

DOI: 10.1109/tsp.2005.849172

Google Scholar

[8] L. Rebollo-Neira, D. Lowe, Optimized orthogonal matching pursuit approach[J], IEEE Signal Processing Letters, 2002, 9(4) : 137-140.

DOI: 10.1109/lsp.2002.1001652

Google Scholar