Skip to main content

Applications of Nonuniform Sampling to Nonlinear Modulation, A/D and D/A Techniques

  • Chapter

Abstract

One of the important applications of nonuniform sampling is in the area of telecommunications, specifically in the field of modulation and coding. The modulation aspect is treated in this chapter, and the coding part will be discussed in Chapter 17.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   229.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   299.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   299.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. F. Marvasti. A Unified Approach to Zero-Crossings and Nonuniform Sampling of Single and Multidimensional Signals and Systems. Nonuniform Publication, Oak Park, IL, 1987.

    Google Scholar 

  2. Z. Ghassemlooy. A Low Cost Subcarrier Multiplexed PPM for Optical Fibre Communication Systems. IEEE Trans. Consumer Electronics, 44(1):73–81, February 1998.

    Article  Google Scholar 

  3. F. Marvasti. Nonuniform Sampling. In Robert Marks II, Ed., Advanced Topics in Shannon Sampling and Interpolation Theory, New York: Springer Verlag, January 1993.

    Google Scholar 

  4. F. Marvasti. Interpolation of Lowpass Signals at Half the Nyquist Rate. IEEE Journal on Signal Processing Letters 3(2): February 1996.

    Google Scholar 

  5. F. Marvasti. Nonuniform Samples at or Below the Nyquist Rate for Bandpass Signals. IEEE Trans on SP., 44(3):572–576, March 1996.

    Article  Google Scholar 

  6. V. Koshi and F. Marvasti. PPM and PDM Demodulation using Novel Techniques. In the Proc of Symposium on Communications, Coventry, UK, December 11–13, 1994. (Correspond with the University of Lancaster, Telecom Research Centre, Lancaster, UK.)

    Google Scholar 

  7. F. Marvasti, M. Hasan, M. Eckhart, and S. Talebi. Efficient Algorithms for Burst Error Recovery Using FFT and Other Transform Kernels. IEEE Trans on Signal Processing, 47(4):1065–1075, April 1999.

    Article  MATH  Google Scholar 

  8. F. Marvasti. Transmission and Reconstruction of Signals Using Functionally Related Zero-Crossings. PhD dissertation. RPI, Troy, NY, USA, May 1973.

    Google Scholar 

  9. F. Marvasti. Reconstruction of a Signal from the Zero-Crossings of an FM Signal. Trans. of IECE of Japan, p. 650, October 1985.

    Google Scholar 

  10. R. G. Wiley, H. Schwarzlander and D. D. Weiner. Demodulation Procedure for Very Wideband FM. IEEE Trans. Commun., COM-25, pp. 318–327, March 1977.

    Google Scholar 

  11. J. Bar-David. An Explicit Sampling Theorem for Bounded Bandlimited Functions. Information and Control, 24:36–44, 1974.

    Article  MathSciNet  MATH  Google Scholar 

  12. F. Marvasti, M. Hasan, and M. Eckhart. A Novel Method for Burst Error Correction. SamPTA ′97, Aveiro, Portugal, July 1997.

    Google Scholar 

  13. S. Hein and A. Zakhor. Sigma Delta Modulators. Kluwer Academic Publishers, 1993.

    Google Scholar 

  14. M. Gamshadzahi. Bandwidth Reduction in Delta Modulation Systems using an Iterative Reconstruction Scheme. M.S. Thesis, Illinois Institute of Technology, Dept. Elec, Comput. Eng., December 1989.

    Google Scholar 

  15. J. C. Candy and G. C. Temes, Eds. Oversampling Delta-Sigma Converters, IEEE Press, New York, 1991.

    Book  Google Scholar 

  16. S. Norsworthy, R. Schreier, and G. C. Temes, Eds. Delta Sigma Data converters: Theory, Design and Simulation. IEEE Press, New York, 1997.

    Google Scholar 

  17. O. Feely and L. O. Chua. The Effect of Integrator Leak in Sigma-Delta Modulation. IEEE Trans. On Circuits and Systems. 38(11):1293–1305, November 1991.

    Article  MATH  Google Scholar 

  18. H. S. Black. Modulation Theory. D. Van Nostrand Co., Inc., Princeton, N.J., 1953.

    MATH  Google Scholar 

  19. M. B. Sandier. Investigation by Simulation of Digitally Addressed Audio Power Amplifier. PhD thesis. Essex University, 1983.

    Google Scholar 

  20. M. B. Sandier. Towards a Digital Power Amplifier. 76th Convention of the Audio Engineering Society, New York, preprint no. 2135, October 1984.

    Google Scholar 

  21. M. B. Sandier. Progress towards a Digital Power Amplifier. 80th Convention of the Audio Engineering Society, Montreux, preprint no. 2361, March 1986.

    Google Scholar 

  22. R. W. Schafer and L. R. Rabiner. A Digital Signal Processing Approach to Interpolation. Proc. IEEE, 61(6):692–702, June 1973.

    Article  Google Scholar 

  23. J. D. Martin. Theoretical Efficiencies ofClassD Power Amplifiers. Proc. IEE, 117(6):1089–1090, June 1970.

    Google Scholar 

  24. R. E. Hiorns and M. B. Sandier. Power Digital to Analogue Conversion using Pulse Width Modulation and Digital Signal Processing. IEE Proc-G, 140(5):329–338, October 1993.

    Google Scholar 

  25. N. A. Baturin. Full Wave Modulation in Class D Amplifiers. Telecommunication and Radio Engineering, Pt 2, 29:122–123, 1974.

    Google Scholar 

  26. N. A. Baturin and V N. Plyusnin. Combination Distortion in a Two-Sided Single Ended Class D Power Amplifier. Telecommunication and Radio Engineering, Pt 2, 28(8):123–126, 1973.

    Google Scholar 

  27. J. Goldberg and M. B. Sandier. Noise Shaping for a Digital Power Amplifier. Convention of the Audio Engineering Society, New York, preprint 2832, October 1989.

    Google Scholar 

  28. M. Gerzon and P. Craven. Optimal Noise Shaping and Dither of Digital Signals. 87th Convention of the Audio Engineering Society, New York, preprint no. 2822, 1989.

    Google Scholar 

  29. P. H. Mellor, S. P. Leigh, and B. M. G. Cheetham. Reduction in Spectral Distortion in Class D Amplifiers by an Enhanced Sampling Process. Proc IEE, Part G, 138(4):441–448, August 1991.

    Google Scholar 

  30. M. O. J. Hawksford. Dynamic Model-Based Linearization of Quantized PWM for Applications in Digital to Analogue Conversion and Digital Power Amplifier Systems. Journal of the Audio Engineering Society, 40(4):235–252, April 1992.

    Google Scholar 

  31. P. Craven. Towards the 24 Bit DAC: Novel Noise Shaping Topologies Incorporating Correction for the Non-Linearity in a PWM Output Stage. Journal of Audio Engineering, 51(5):291–313, May 1993.

    Google Scholar 

  32. R. E. Hiorns, R. G. Bowman, and M. B. Sandier. A PWM DAC for Digital Audio Conversion: from Theory to Performance. IEE International Conference on Digital to Analogue and Analogue to Digital Conversion, Swansea, September 1991, pp. 142–147.

    Google Scholar 

  33. J. M. Goldberg and M. B. Sandier. Pseudo-Natural PWM for High Accuracy Digital to Analogue Conversion. Electronics Letters, 1, 27(16):1491–1492, August 1991.

    Article  Google Scholar 

  34. M. B. Sandier. Digital-to-Analogue Conversion using Pulse Width Modulation. Electronics and Communication Engineering Journal, 5(6):339–348, December 1993.

    Article  MathSciNet  Google Scholar 

  35. J. M. Goldberg. Signal Processing for High Resolution PWM Based Digital to Analogue Conversion. PhD Thesis. University of London, 1993.

    Google Scholar 

  36. C. Cutler. Transmission Systems Employing Quantization. U.S. Patent No. 2, 927, 962, March 8 1960 (filed 1954).

    Google Scholar 

  37. H. Inose, Y. Yasuda, and J. Murakami. A Telemetering System by Code Modulation-Σ Modulation. IRE Trans. Space Electron. Telemetry, SET-8:204-209, September 1962.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media New York

About this chapter

Cite this chapter

Marvasti, F., Sandler, M. (2001). Applications of Nonuniform Sampling to Nonlinear Modulation, A/D and D/A Techniques. In: Marvasti, F. (eds) Nonuniform Sampling. Information Technology: Transmission, Processing, and Storage. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1229-5_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-1229-5_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5451-2

  • Online ISBN: 978-1-4615-1229-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics