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Performance Comparison of OFDM Based on Fourier Transform and Wavelet OFDM Based on Wavelet Transform

웨이블릿 변환 기반의 Wavelet-OFDM 시스템과 푸리에 변환 기반의 OFDM 시스템의 성능 비교

  • Lee, Jungu (Department of Electronic Engineering, Chungbuk National University) ;
  • Ryu, Heung-Gyoon (Department of Electronic Engineering, Chungbuk National University)
  • Received : 2017.08.07
  • Accepted : 2017.12.28
  • Published : 2018.03.31

Abstract

Orthogonal frequency division multiplexing(OFDM) is a multicarrier modulation(MCM) system that enables high-speed communications using multiple carriers and has advantages of power and spectral efficiency. Therefore, this study aims to complement the existing shortcomings and to design an efficient MCM system. The proposed system uses the inverse discrete wavelet transform(IDWT) operation instead of the inverse fast Fourier transform(IFFT) operation. The bit error rate(BER), spectral efficiency, and peak-to-average power ratio(PAPR) performance were compared with the conventional OFDM system through the OFDM system design based on wavelet transform. Our results showed that the conventional OFDM and Wavelet-OFDM exhibited the same BER performance, and that the Wavelet-OFDM using the discrete Meyer wavelet had the same spectral efficiency as the conventional OFDM. In addition, all systems of Wavelet-OFDM based on various wavelets confirm a PAPR performance lower than that of conventional OFDM.

OFDM(Orthogonal Frequency Division Multiplexing)은 다중캐리어를 사용해 고속통신을 가능하게 하는 MCM(MultiCarrier Modulation)시스템이며, 전력과 스펙트럼 효율의 단점을 갖는다. 따라서 본 논문에서는 기존의 단점을 보완하고, 효율적인 MCM시스템 설계를 목표로 한다. 제안하는 시스템은 IFFT(Inverse Fast Fourier Transform) 연산 대신에 IDWT(Inverse Discrete Wavelet Transform) 연산을 사용하게 된다. 웨이블릿 변환 기반의 OFDM 시스템 설계를 통해 기존의 OFDM 시스템과 BER(Bit Error Rate), 스펙트럼 효율, PAPR(Peak to Average Power Ratio) 성능 비교를 진행하였다. 그 결과, 기존의 OFDM과 Wavelet-OFDM은 동일한 BER 성능을 나타내었고, Discrete Meyer 웨이블릿을 사용한 Wavelet-OFDM에서는 기존의 OFDM과 동일한 스펙트럼 효율을 갖는다. 또한, 여러 가지 웨이블릿을 기반으로 구성한 Wavelet-OFDM의 모든 시스템은 기존의 OFDM보다 낮은 PAPR 성능을 갖는다.

Keywords

References

  1. T. Hwang, C. Yang, G. Wu, S. Li, and G. Y. Li, "OFDM and its wireless applications: A survey," IEEE Transactions on Vehicular Technology, vol. 58, no. 4, pp. 1673-1694, May 2009. https://doi.org/10.1109/TVT.2008.2004555
  2. Y. J. Choi, H. R. Kim, N. Kim, Y. H. Ko, and J. H. Ahn, "Performance analysis of a OFDM system for wireless LAN in indoor wireless channel," Journal of Korean Institute of Electromagnetic Engineering and Science, vol. 12, no. 2, pp. 268-277, Feb. 2001.
  3. A. Roy, A. S. Poonia, "Implementation of IDWT OFDM system in LabVIEW," International Journal of Modern Trends in Engineering and Research, vol. 2, no. 6, pp. 620-624, Jun. 2015.
  4. G. Sailakshmi, K. Sudha, "BER analysis of wavelet based OFDM using different modulation techniques," International Journal of Science and Research, vol. 4, no. 5, pp. 2519-2523, Mar. 2014.
  5. A. H. Kattoush, W. A. Mahmoud, and S. Nihad, "The performance of multiwavelets based on OFDM system under different channel conditions," Digital Signal Processing, vol. 20, no. 2, pp. 472-482, Mar. 2010. https://doi.org/10.1016/j.dsp.2009.06.022
  6. M. Oltean, M. Nafornita, "Wavelet OFDM performance in frequency selective fading channels," in 2010 8th International Conference on Communications, Bucharest, 2010, pp. 343-346.
  7. D. Wulich, "Definition of efficient PAPR in OFDM," IEEE Communications Letters, vol. 9, no. 9, pp. 832-834, Sep. 2005. https://doi.org/10.1109/LCOMM.2005.1506718
  8. D. TL Lee, A. Yamamoto, "Wavelet analysis: Theory and applications," Hewlett Packard Journal, vol. 45, pp. 44-52, 1994.
  9. M. Chafii, J. Palicot, R. Gribonval, and A. G. Burr, "Power spectral density limitations of the wavelet-OFDM system," in Signal Processing Conference(EUSIPCO), 2016 24th European, 2016, pp. 1428-1432.
  10. J. Lee, J. H. Kim, and W. Kim, "Comparison and performance analysis of wavelet OFDM system and FD-OFDM," Journal of the Institute of Electronics and Information Engineers, vol. 50, no. 7, pp. 34-42, Jul. 2013. https://doi.org/10.5573/ieek.2013.50.7.034
  11. K. T. Moon, J. S. Kim, D. W. Jang, and K. S. Kim, "A design of power line communication system using wavelet OFDM," Journal of Korean Institute of Communications and Information Science, vol. 35, no. 11, pp. 871-876, Nov. 2010.
  12. M. Chafii, J. Palicot, and R. Gribonval, "Wavelet modulation: An alternative modulation with low energy consumption," Comptes Rendus Physique, vol. 18, no. 2, pp. 156-167, 2017. https://doi.org/10.1016/j.crhy.2016.11.010
  13. K. Abdullah, Z. M. Hussain, "Simulation of models and BER performances of DWT-OFDM versus FFT-OFDM," in Discrete Wavelet Transforms-Algorithms and Applications, InTech, 2011.
  14. K. Abdullah, Z. M. Hussain, "Studies on DWT-OFDM and FFT-OFDM systems," in International Conference on Communication, Computer and Power(ICCCP'09), Muscat, 2009, pp. 15-18.
  15. V. Vermehren, H. M. de Oliveira, "Close expressions for Meyer wavelet and scale function," preprint, ar Xiv:1502.00161, 2015.