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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 9 — Sep. 1, 2008
  • pp: 2320–2330

Multirate asynchronous sampling of sparse multiband signals

Amir Rosenthal, Alex Linden, and Moshe Horowitz  »View Author Affiliations

JOSA A, Vol. 25, Issue 9, pp. 2320-2330 (2008)

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Because optical systems have a huge bandwidth and are capable of generating low-noise short pulses, they are ideal for undersampling multiband signals that are located within a very broad frequency range. We propose a new scheme for reconstructing multiband signals that occupy a small part of a given broad frequency range under the constraint of a small number of sampling channels. The scheme, which we call multirate sampling (MRS), entails gathering samples at several different rates whose sum is significantly lower than the Nyquist sampling rate. The number of channels does not depend on any characteristics of a signal. In order to be implemented with simplified hardware, the reconstruction method does not rely on the synchronization between different sampling channels. Also, because the method does not solve a system of linear equations, it avoids one source of lack of robustness of previously published undersampling schemes. Our simulations indicate that our MRS scheme is robust both to different signal types and to relatively high noise levels. The scheme can be implemented easily with optical sampling systems.

© 2008 Optical Society of America

OCIS Codes
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(070.4790) Fourier optics and signal processing : Spectrum analysis

ToC Category:
Fourier Optics and Signal Processing

Original Manuscript: February 1, 2008
Manuscript Accepted: June 3, 2008
Published: August 20, 2008

Amir Rosenthal, Alex Linden, and Moshe Horowitz, "Multirate asynchronous sampling of sparse multiband signals," J. Opt. Soc. Am. A 25, 2320-2330 (2008)

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  1. A. Zeitouny, A. Feldser, and M. Horowitz, “Optical sampling of narrowband microwave signals using pulses generated by electroabsorption modulators,” Opt. Commun. 256, 248-255 (2005). [CrossRef]
  2. H. Landau, “Necessary density conditions for sampling and interpolation of certain entire functions,” Acta Math. 117, 37-52 (1967). [CrossRef]
  3. A. Kohlenberg, “Exact interpolation of band-limited functions,” J. Appl. Phys. 24, 1432-1436 (1953). [CrossRef]
  4. R. Venkantaramani and Y. Bresler, “Optimal sub-Nyquist nonuniform sampling and reconstruction for multiband signals,” IEEE Trans. Signal Process. 49, 2301-2313 (2001). [CrossRef]
  5. Y. M. Lu and M. N. Do, “A theory for sampling signals from a union of subspaces,” IEEE Trans. Signal Process. 56, 2334-2345 (2008). [CrossRef]
  6. M. Mishali and Y. Eldar, “Blind multi-band signal reconstruction: compressed sensing for analog signals,” http://www.arxiv.org/abs/0709.1563.
  7. P. Feng and Y. Bresler, “Spectrum-blind minimum-rate sampling and reconstruction of multiband signals,” in Proceedings of IEEE International Conference on Image Processing (IEEE, 1996), Vol. 1, pp. 701-704. [CrossRef]
  8. Y. P. Lin and P. P. Vaidyanathan, “Periodically uniform sampling of bandpass signals,” J. Chem. Phys. 45, 340-351 (1998).
  9. C. Herley and W. Wong, “Minimum rate sampling and reconstruction of signals with arbitrary frequency support,” IEEE Trans. Inf. Theory 45, 1555-1564 (1999). [CrossRef]
  10. I. Stewart and D. Tall, The Foundations of Mathematics (Oxford U. Press, 1977).

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