OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 32 — Nov. 10, 1994
  • pp: 7617–7621

Detection accuracy in zero-crossing-based spectrum analysis and image reconstruction

Caesar Saloma and Matthew George Escobido, Jr.  »View Author Affiliations


Applied Optics, Vol. 33, Issue 32, pp. 7617-7621 (1994)
http://dx.doi.org/10.1364/AO.33.007617


View Full Text Article

Enhanced HTML    Acrobat PDF (979 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We examine how the accuracy in describing the exact location of a signal crossing affects the quality of the spectrum or the reconstructed two-dimensional image that is computed by a representation of sampled zero crossings. The position of a zero crossing within a Nyquist interval is described by the ratio between the number of clock pulses that have elapsed before the crossing occurred and the total number of clock pulses that could fit within the interval. The pulses scale the Nyquist interval, and the greater their total number, the more accurate the description of the crossing location. In a real zero-crossing detector the ability to increase the total number of square pulses contained within the Nyquist interval is limited by the finite response time of its circuit components [Opt. Lett. 18, 1468 (1993)].

© 1994 Optical Society of America

History
Original Manuscript: August 6, 1993
Revised Manuscript: June 6, 1994
Published: November 10, 1994

Citation
Caesar Saloma and Matthew George Escobido, "Detection accuracy in zero-crossing-based spectrum analysis and image reconstruction," Appl. Opt. 33, 7617-7621 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-32-7617


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. F. E. Bond, C. R. Cahn, “On sampling the zeros of bandwidth limited signals,” IRE Trans. Inf. Theory IT-4, 110–113 (1958). [CrossRef]
  2. H. B. Voelker, “Toward a unified theory of modulation. Part II. Zero manipulation,” Proc. IEEE 54, 735–755 (1966). [CrossRef]
  3. B. F. Logan, “Information in zero crossing of bandpass signals,” Bell Syst. Tech. J.56, 487–510 (1977).
  4. A. Requicha, “The zeros of entire functions: theory and engineering applications,” Proc. IEEE 68, 308–328 (1980). [CrossRef]
  5. S. Curtis, A. Oppenheim, “Reconstruction of multidimensional signals from zero crossings,” J. Opt. Soc. Am. A4, 221–231 (1987).
  6. K. Piwnicki, “Modulation methods related to sine-wave crossings,” IEEE Trans. Commun. COM-31, 503–508 (1983). [CrossRef]
  7. S. Kay, R. Sudhaker, “A zero-crossing-based spectrum analyzer,” IEEE Trans. Acoust. Speech Signal Process. ASSP-34, 96–104 (1986). [CrossRef]
  8. Y. Zeevi, A. Gavriely, S. Shamai, “Image representation by zero and sine wave crossings,” J. Opt. Soc. Am. A 4, 2045–2060 (1987). [CrossRef]
  9. C. Saloma, P. Haeberli, “Optical spectrum analysis from zero crossings,” Opt. Lett. 16, 1535–1537 (1991). [CrossRef] [PubMed]
  10. C. Saloma, V. Daria, “Performance of zero-crossing optical spectrum analyzer,” Opt. Lett. 18, 1468–1470 (1993). [CrossRef] [PubMed]
  11. National Semiconductor, General Purpose Linear Devices Databook (National Semiconductor, Santa Clara, Calif., 1989), pp. 1–1640;Texas Instruments, The TTL Data Book (Texas Instruments, Dallas, Tx., 1985), Vol. 1, pp. 16–1572;The TTL Data Book Vol. 2, 28–1392.
  12. A. Zakhor, A. Oppenheim, “Reconstruction of two-dimensional signals from level crossings,” Proc. IEEE 78, 31–55 (1990). [CrossRef]
  13. D. Skoog, Principles of Instrumental Analysis, 3rd ed. (Saunders, Philadelphia, Pa., 1985), pp. 14–17.
  14. C. Saloma, “Computational complexity and the observation of physical signals,” J. Appl. Phys. 74, 5314–5319 (1993). [CrossRef]
  15. Borland-Osborne, Turbo Pascal Reference Guide, Version 6.0 (McGraw–Hill, NewYork, 1991), pp. 91–94.
  16. C. Saloma, P. Haeberli, “Two-dimensional image reconstruction from Fourier coefficients that are directly computed from zero crossings,” Appl. Opt. 32, 3092–3093 (1993). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited