Noise-enhanced measurement of weak doublet spectra with a Fourier-transform spectrometer and a 1-bit analog-to-digital converter

Applied Optics

Volumn 40, Issue 11, 2001, Pages 1767-1775

  Lim, May ^a   Saloma, Caesar ^a  

^a University of the Philippines ^*  (Philippines)

Author keywords

[No Author keywords available]

Indexed keywords

ANALOG TO DIGITAL CONVERSION; FOURIER TRANSFORMS; LIGHT MODULATION; NATURAL FREQUENCIES; SIGNAL TO NOISE RATIO; SPECTROMETERS; SPURIOUS SIGNAL NOISE;

NOISE DITHERING;

RESONANCE;

EID: 0037825920     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.40.001767     Document Type: Article

References (33)

1. L. Gammaitoni, P. Hanggi, P. Jung, and F. Marchesoni, “Stochastic resonance,” Rev. Mod. Phys. 70, 223-288 (1998).
2. K. Wiesenfeld and F. Moss, “Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDS,” Nature (London) 373, 33-36 (1995).
3. K. Wiesenfeld and F. Jaramillo, “Minireview of stochastic resonance,” Chaos 8, 539-548 (1998).
4. N. Jayant and P. Noll, Digital Coding of Waveforms (Prentice-Hall, Englewood Cliffs, N.J., 1984).
5. D. Russell, L. Wilken, and F. Moss, “Use of behavioural stochastic resonance by paddle fish for feeding,” Nature (London) 402, 291-294 (1999).
6. F. Chapeau-Blondeau and X. Godivier, “Stochastic resonance in nonlinear transmission of spike signals: an exact model and an application to the neuron,” Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 2069-2076 (1996).
7. F. Vaudelle, J. Gazengel, G. Rivioire, X. Godivier, and F. Chapeau-Blondeau, “Stochastic resonance and noise-enhanced transmission of spatial signals in optics: the case of scattering,” J. Opt. Soc. Am. B 15, 2674-2680 (1998).
8. A. Palonpon, J. Amistoso, J. Holdsworth, W. Garcia, and C. Saloma, “Measurement of weak transmittances by stochastic resonance,” Opt. Lett. 23, 1480-1482 (1998).
9. P. Griffiths, Chemical Infrared Fourier Transform Spectroscopy (Wiley, New York, 1975).
10. A. Bulsara and L. Gammaitoni, “Tuning in to noise,” Phys. Today 49(3), 39-47 (1996).
11. M. Litong and C. Saloma, “Detection of sub-threshold oscillations by sinusoid-crossing sampling,” Phys. Rev. E 57, 3579-3588 (1998).
12. C. Saloma and P. Haeberli, “Optical spectrum analysis from zero crossings,” Opt. Lett. 16, 1535-1537 (1991).
13. C. Saloma and V. Daria, “Performance of a zero-crossing optical spectrum analyzer,” Opt. Lett. 18, 1468-1470 (1993).
14. V. Daria and C. Saloma, “Bandwidth and detection limit in crossing-based spectrum analyzer,” Rev. Sci. Instrum. 68, 240-242 (1997).
15. M. Lim and C. Saloma, “Direct signal recovery from threshold crossings,” Phys. Rev. E 58, 6759-6765 (1998).
16. V. Daria and C. Saloma, “High-accuracy Fourier transform interferometry, without oversampling, with a 1-bit analog-to-digital converter,” Appl. Opt. 39, 108-113 (2000).
17. C. Ho and C. Kuo, “Oversampling sigma-delta modulator stabilized by local nonlinear feedback loop technique,” IEEE Trans. Circuits Syst. Vol II 47, 941-948 (2000).
18. M. Kozak, M. Karaman, and I. Kale, “Efficient architectures for time-interleaved oversampling delta-sigma converters,” IEEE Trans. Circuits Syst. Vol II 47, 802-809 (2000).
19. C. Zierhofer, “Adaptive sigma-delta modulation with one-bit quantization,” IEEE Trans. Circuits Syst. II 47, 408-415 (2000).
20. C. Dick and F. Harris, “FPGA signal processing using sigmadelta modulation,” IEEE Signal Process. Mag. 17, 20-35 (2000).
21. K. Minami and S. Kawata, “Dynamic range enhancement of Fourier transform infrared spectrum measurement using delta sigma modulation,” Appl. Opt. 32, 4822-4827 (1993).
22. S. Kurikov, D. Prilutskii, and S. Selishchev, “Use of a sigmadelta analog-to-digital converter in multichannel electrocardiographs,” Biomed. Eng. (USSR) 31(4), 190-198 (1997).
23. F. Riedijk, G. Rademaker, and J. Huijsing, “A dual-bit low-offset sigma delta analog-to-digital converter for integrated smart sensors,” Sens. Actuators A 36, 157-166 (1993).
24. S. Freeman, M. Quick, M. Morin, R. Anderson, C. Desilets, T. Linnenbrink, and M. O’Donnell, “Delta-sigma oversampled ultrasound beamformer with dynamic delays,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 46, 320-332 (1999).
25. S. Gal, G. Cathebras, and Y. Bertrand, “Measurement of small resistance variations using sigma delta technique,” Electron. Lett. 34, 1578-1579 (1998).
26. O. Norman, “A band-pass delta-sigma modulator for ultra-sound imaging at 160 MHz clock rate,” IEEE J. Solid-State Circuits 31, 2036-2041 (1996).
27. H. Verhoeven and J. Huijsing, “Design of integrated thermal flow sensors using thermal sigma-delta modulation,” Sens. Actuators A 52, 198-202 (1996).
28. F. Riedijk and J. Huijsing, “A smart balanced thermal pyranometer using a sigma-delta A-to-D converter for direct communication with microcontrollers,” Sens. Actuators A 37/38, 16-25 (1993).
29. F. Huck, C. Fales, N. Haylo, R. Samms, and K. Stacey, “Image gathering and processing: information and fidelity,” J. Opt. Soc. Am. A 2, 1644-1666 (1985).
30. M. Nazario and C. Saloma, “Signal recovery in sinusoid crossing sampling using the minimum negativity constraint,” Appl. Opt. 37, 2953-2963 (1998).
31. J. Proakis and D. Manolakis, Introduction to Digital Signal Processing (Macmillan, New York, 1989).
32. H. Cramer and M. Leadbetter, Stationary and Related Stochastic Processes (Wiley, New York, 1967).
33. M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, New York, 1998).