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Reseach Article

Simulation of GDFT for CDMA

Published on May 2012 by Vaishali Patil, Jaikaran Singh, Mukeshtiwari
National Conference on Advancement in Electronics & Telecommunication Engineering
Foundation of Computer Science USA
NCAETE - Number 4
May 2012
Authors: Vaishali Patil, Jaikaran Singh, Mukeshtiwari
ce5a5fb0-b525-4c8f-ac51-599d1f385f46

Vaishali Patil, Jaikaran Singh, Mukeshtiwari . Simulation of GDFT for CDMA. National Conference on Advancement in Electronics & Telecommunication Engineering. NCAETE, 4 (May 2012), 15-19.

@article{
author = { Vaishali Patil, Jaikaran Singh, Mukeshtiwari },
title = { Simulation of GDFT for CDMA },
journal = { National Conference on Advancement in Electronics & Telecommunication Engineering },
issue_date = { May 2012 },
volume = { NCAETE },
number = { 4 },
month = { May },
year = { 2012 },
issn = 0975-8887,
pages = { 15-19 },
numpages = 5,
url = { /proceedings/ncaete/number4/6614-1104/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 National Conference on Advancement in Electronics & Telecommunication Engineering
%A Vaishali Patil
%A Jaikaran Singh
%A Mukeshtiwari
%T Simulation of GDFT for CDMA
%J National Conference on Advancement in Electronics & Telecommunication Engineering
%@ 0975-8887
%V NCAETE
%N 4
%P 15-19
%D 2012
%I International Journal of Computer Applications
Abstract

Generalized Discrete Fourier Transform (GDFT) with non-linear phase is a complex valued, constant modulus orthogonal function set. GDFT can be effectively used discrete multi-tone (DMT), orthogonal frequency division multiplexing (OFDM) and code division multiple access (CDMA) communication systems. The constant modulus transforms like discrete Fourier transform (DFT), Walsh transform, and Gold codes have been successfully used in above mentioned applications over several decades. However, these transforms are suffering from low cross-correlation features. This problem can be addressed by using GDFT transform. This paper describes the MATLAB simulation of GDFT for code division multiple access (CDMA). We have also implemented Gold, Walsh and DFT codes. Their performance is analyzed and compared on the basis of various parameters such as Maximum Value of Out-of-Phase Auto-Correlation, Maximum Value of Out-of-Phase Cross-Correlation, Mean-Square Value of Auto-Correlation, Mean-Square Value of Cross-Correlation and merit factor.

References
  1. Ali N. Akansu, Handan Agirman-Tosun, "Generalized Discrete Fourier Transform With Nonlinear Phase", IEEE Transactions on Signal Processing, VOL. 58, NO. 9, September 2010
  2. R. Gold, "Optimal binary sequences for spread spectrum multiplexing," IEEE Trans. Inf. Theory, vol. 13, no. 4, pp. 619–621, Oct. 1967.
  3. A. N. Akansu and R. Poluri, "Walsh-like nonlinear phase orthogonal codes for direct sequence CDMA communications," IEEE Trans. Signal Process. , vol. 55, no. 7, pp. 3800–3806, Jul. 2007.
  4. H. Fukumasa, R. Kohno, and H. Imai, "Design of pseudo noise sequences with good odd and even correlation properties for DS/CDMA," IEEE J. Sel. Areas Commun. , vol. 12, no. 5, pp. 855–884, Jun. 1994.
  5. R. L. Frank, S. A. Zadoff, and R. Heimiller, "Phase shift pulse codes with good periodic correlation properties," IRE Trans. Inf. Theory, vol. IT-8, no. 6, pp. 381–382, 1962.
  6. R. L. Frank, "Polyphase codes with good non-periodic correlation properties," IEEE Trans. Inf. Theory, vol. IT-9, no. 1, pp. 43–45, 1963.
  7. D. C. Chu, "Polyphase codes with good periodic correlation properties," IEEE Trans. Inf. Theory, vol. IT-18, pp. 720–724, Jul. 1972.
  8. I. Oppermann and B. S. Vucetic, "Complex valued spreading sequences with a wide range of correlation properties," IEEE Trans. Commun. , vol. 45, pp. 365–375, Mar. 1997.
  9. I. Oppermann, "Orthogonal complex-valued spreading sequences with a wide range of correlation properties," IEEE Trans. Commun. , vol. 45, pp. 1379–1380, Nov. 1997.
  10. K. Ireland and M. Rosen, A Classical Introduction to Modern Number Theory. New York: Springer-Verlag, 1993.
  11. W. Narkiewicz, Elementary and Analytic Theory of Numbers. NewYork: Springer-Verlag, 1990.
  12. A. Papoulis, Signal Analysis. New York: McGraw-Hill, 1977.
  13. A. N. Akansu and R. A. Haddad, Multiresolution Signal Decomposition: Transforms, Subbands and Wavelets, 2nd ed. Amsterdam, The Netherlands: Elsevier, 2001. 4556 IEEE Transactions on Signal Processing, VOL. 58, NO. 9, September 2010
  14. P. Corsini and G. Frosini, "Properties of the multidimensional generalized discrete Fourier transform," IEEE Trans. Comput. , vol. C-28, pp. 819–830, Nov. 1979.
  15. D. Sarwate, M. Pursley, and W. Stark, "Error probability for direct-sequence spread-spectrum multiple-access communications—Part I: Upper and lower bounds," IEEE Trans. Commun. , vol. 30, pp. 975–984, May 1982.
  16. D. Sarwate, "Bounds on crosscorrelation and autocorrelation of sequences," IEEE Trans. Inf. Theory, vol. 25, pp. 724–725, Nov. 1979.
  17. L. Welch, "Lower bounds on the maximum cross correlation of signals," IEEE Trans. Inf. Theory, vol. 20, pp. 397–399, May 1974.
  18. M. Golay, "The merit factor of long low autocorrelation binary sequences," IEEE Trans. Inf. Theory, vol. 28, pp. 543–549, May 1982.
  19. A. N. Akansu and H. Agirman-Tosun, "Generalized discrete Fourier transform: Theory and design methods," in Proc. IEEE Sarnoff Symp. , Mar. 2009, pp. 1–7.
  20. A. N. Akansu and H. Agirman-Tosun, "Improved correlation of generalized discrete Fourier transform with nonlinear phase for OFDM and CDMA communications," in Proc. EUSIPCO Eur. Signal Processing Conf. , Aug. 2009, pp. 1369–1373.
Index Terms

Computer Science
Information Sciences

Keywords

Cdma Simulation Orthogonal Ber Snr Correlation