Skip to main content

Advertisement

SpringerLink
Log in

A Radon-Multiwavelet Based OFDM System Design and Simulation Under Different Channel Conditions

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

Finite Radon transform (FRAT) mapper has the ability to increase orthogonality of sub-carriers, it is non sensitive to channel parameters variations, and has a small constellation energy compared with conventional fast Fourier transform (FFT) based orthogonal frequency division multiplexing (OFDM). It is also able to work as a good interleaver which significantly reduces the bit error rate (BER). Due to its good orthogonality, discrete Multiwavelet transform (DMWT) is attractive for implementation in OFDM systems which reduces inter-symbol interference (ISI) and inter-carrier interference (ICI) and eliminates the need for cyclic prefix and increases the spectral efficiency of the design. In this paper both FRAT and DMWT are implemented in a new design for OFDM. The new structure was tested and compared with conventional FFT-based OFDM, Radon-based OFDM, and DMWT-based OFDM for additive white Gaussian noise channel, flat fading channel, and multi-path selective fading channel. Simulation tests were generated for different channels parameters values. The obtained results showed that proposed system has increased spectral efficiency, reduced ISI and ICI, and improved BER performance compared with other systems.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Tran N. H., Nguyen H. H., Le-Ngoc T. (2007) Bit-interleaved coded OFDM with signal space diversity: Subcarrier grouping and rotation matrix design. IEEE Transactions On Signal Processing 55(3): 1137–1149

    Article  MathSciNet  Google Scholar 

  2. Jeon W.G., Chang K.H., Cho Y.S. (1999) An equalization technique for orthogonal frequency-division multiplexing systems in time-variant multipath channels. IEEE Transactions On Communications, 47(1): 27–32

    Article  Google Scholar 

  3. Cimini L. J. Jr. (1985) Analysis and simulation of a digital mobile channel using orthogonal frequency division multiplexing. IEEE Transactions on Communications 33: 665–675

    Article  Google Scholar 

  4. Weinstein S., Ebert P. (1971) The finite Radon transform, integral geometry, data transmission by frequency division multiplexing using the discrete Fourier transform. IEEE Transactions on Communications 19: 628–634

    Article  Google Scholar 

  5. Deans S. R. (1983) The Radon transform and some of its applications. Wiley, New York

    MATH  Google Scholar 

  6. Bolker, E. D. (1987). The finite Radon transform. In Integral geometry, contemporary mathematics (Vol. 63, pp. 27–50).

  7. Beylkin G. (1987) Discrete Radon transforms. IEEE Transactions on Acoustic, Speech and Signal Processing 35: 162–172

    Article  MathSciNet  Google Scholar 

  8. Al-Jawhar W., Kattoush A.H., Abbas S.M., Shaheen A.T. (2008) A high speed high performance parallel Radon based OFDM transceiver design and simulation. Digital Signal Processing 18(12): 907–918

    Article  Google Scholar 

  9. Kattoush A. H., Al-Jawhar W., Shaheen A. T, Ghodayyah A. (2008) The performance of proposed one dimensional serial Radon based OFDM system under different channel conditions. The International Journal of Computers, Systems and Signals 9: 3–16

    Google Scholar 

  10. Kattoush A. H., Al-Jawhar W., Abbas S. M., Shaheen A. T. (2011) A N-Radon based OFDM transceivers design and performance simulation over different channel models. Wireless Personal Communications 58(4): 695–711

    Article  Google Scholar 

  11. Lindsey A. R. (1997) Wavelet packet modulation for orthogonally multiplexed communication. IEEE Transactions on Signal Processing 45: 1336–1337

    Article  Google Scholar 

  12. Zhang, H., Yuan, D., Jiang, M., & Wu, D. (2004). Research of DFT-OFDM and DWT-OFDM on different transmission scenarios. In IEEE ICITA’2004, Harbin, China, January 8–11, 2004.

  13. Kattoush A.H., Al-Jawhar W., Nihad S. (2010) The performance of multiwavelets based OFDM system under different channel conditions. Digital Signal Processing 20(2): 472–482

    Article  Google Scholar 

  14. Do M. N., Vetterli M. (2003) The finite ridgelet transform for image representation. IEEE Transactions on Image Processing 12(1): 16–28

    Article  MathSciNet  Google Scholar 

  15. Hsung, T., Shum, Y. H., & Lun, D. P. K. (2005) Orthogonal symmetric prefilter banks for discrete multiwavelet transforms. In Proceedings of international symposium on intelligent signal processing and communication systems, Hong Kong, © 2005 IEEE, December 13–16, 2005.

  16. Wang, L., Lu, J., Li, Y., & Yahagi, T. (2005) Multiwavelet-domain filtering for degraded images with gaussian noise. In Graduate School of Science and Technology, Chiba University, Japan, Industrial Technology, IEEE International Conference, pp. 28–32.

  17. Wang, H., Wang, J. & Wang, W. (2005). Multispectral image fusion approach based on GHM multiwavelet transform. In Proceedings of the fourth international conference on machine learning and cybernetics, Guangzhou, © IEEE.

  18. Martin M.B., Bell A.E. (2001) New image compression techniques using multiwavelets and multiwavelet packets. IEEE Transactions on Image Processing, 10(4): 500–510

    Article  MATH  Google Scholar 

  19. Geronimo J., Hardin D., Massupost P. R. (1994) Fractal function and wavelet expansions based on several functions. Journal of Approximation Theory 78: 373–401

    Article  MathSciNet  MATH  Google Scholar 

  20. Strela V., Walden A. T. (1998) Orthogonal and biorthogonal multiwavelets for signal denoising and image compression. Proceedings of SPIE 3391: 96–107

    Article  Google Scholar 

  21. Kattoush A.H., Al-Jawhar W., Ghodayyah A. (2010) Multiwavelet computed Radon-based OFDM transceiver designed and simulation under different channel conditions. Journal of Information & Computing Science 5(2): 133–145

    Google Scholar 

  22. Proakis, J. G. (2001) Digital Communications, (4th ed. pp. 1–10). New York: McGraw Hill.

Download references

Author information

Authors and Affiliations

  1. EE Department, Tafila Technical University, Tafila, Jordan

    Abbas Hasan Kattoush

  2. Dean of Engineering College, Al-Isra University, Amman, Jordan

    Waleed Ameen Mahmoud Al-Jawher

  3. EE Department, University of Technology, Baghdad, Baghdad, Iraq

    Osama Q. Al-Thahab

Authors
  1. Abbas Hasan Kattoush
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Waleed Ameen Mahmoud Al-Jawher
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Osama Q. Al-Thahab
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Abbas Hasan Kattoush.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kattoush, A.H., Al-Jawher, W.A.M. & Al-Thahab, O.Q. A Radon-Multiwavelet Based OFDM System Design and Simulation Under Different Channel Conditions. Wireless Pers Commun 71, 857–871 (2013). https://doi.org/10.1007/s11277-012-0848-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-012-0848-3

Keywords

Search

Navigation