Comparison of Combined Multi-rate Barker Codes and Multi-rate Barker Codes For WOFDM Systems

International Journal of Electronics and Communication Engineering
© 2014 by SSRG - IJECE Journal
Volume 1 Issue 10
Year of Publication : 2014
Authors : Radwa K. Hamad , Ehab F. Badran, Amira I. Zaki and Said E. El-Khamy
pdf
How to Cite?

Radwa K. Hamad , Ehab F. Badran, Amira I. Zaki and Said E. El-Khamy, "Comparison of Combined Multi-rate Barker Codes and Multi-rate Barker Codes For WOFDM Systems," SSRG International Journal of Electronics and Communication Engineering, vol. 1,  no. 10, pp. 7-14, 2014. Crossref, https://doi.org/10.14445/23488549/IJECE-V1I10P103

Abstract:

In this paper channel estimation is achieved through the use of two novel algorithms involving Barker codes. Comparisons between the delay estimation percentage error of the Least Linear Minimum Mean Square Error (LMMSE) conventional channel estimation technique with the two newly proposed techniques takes place. The first proposed algorithm embeds a Barker code to the transmitted wavelet orthogonal frequency division multiplexing (WOFDM) data block and uses the correlation between that Barker code and the received signal in order to accurately estimate the channel delay at the receiving end. Two new ideas were investigated in an attempt to generate multirate versions of the Barker code of length 13. For the first investigated technique combined Barker codes were generated where a barker code. For the second investigated technique each bit of the initial Barker 13 code was repeated a varying number of times in order to generate mutli-rate versions of the code. Those multi-rate Barker codes generated using the second technique were used in creating a training sequence and using the difference in peak positions of the auto correlation of the transmitted and received sequences the delay introduced by the channel was estimated. These comparisons were performed with the four most common wavelet filters used in the WOFDM modulation. The simulation and results show the advantages of the two new proposed techniques.

Keywords:

Barker codes, channel estimation, correlation, LMMSE, Multi-rate codes

References:

[1] C. J. Ahn, S. Takahashi, Performance evaluation of an OFDM using unitary matrix frequency modulation for power line communications over impulsive noise channels. 3rd WSEAS Transactions on Communications, Issue 3, Volume 5, March 2006, pp. 454-459.
[2] M. Mahmoud, M. Riad, OFDM system under the combined effect analysis of the phase noise, carrier frequency offset, doppler spread, and amplifier nonlinearity of the SEL. WSEAS Transactions on Communications, Issue 7 , Volume 7,  July 2008, pp. 719-728.
[3] M. Oltean, M. Nafornita, Efficient pulse shaping and robust data transmission using wavelets. Proceedings of the third IEEE International Symposium on Intelligent Signal Processing, WISP 2007,Alcala de Henares, Spain, October 2007 , pp. 43-48.
[4] M. K. Lakshmanan, H. Nikookar. A review of wavelets for digital wireless communication(Springer Netherlands,  May 2006).
[5] M. K. Ozdemir, H. Arslan, Channel estimation for wireless OFDM systems. IEEE Communication Surveys, Vol. 9, No 2, 2007.
[6] Abbas Hasan Kattoush, Waleed A. Mahmoud, S. Nihad. The performance of multi-wavelets based OFDM system under different channel conditions(Digital Signal Processing, 2009).
[7] Marius Oltean, Miranda Nafornita, Errors per scale statistics for a wavelet OFDM transmission in flat fading channels. 6th IEEE International Symposium on Intelligent Signal Processing, Aug 2009, pp. 119-124,
[8] Volkan Kumbasar, Oguz Kucur. Alamouti coded wavelet based OFDM for multipath fading channels. Wireless Telecommunications Symposium, April 2009, pp. 1-5,
[9] S. A. Broughton, K. Bryan. Discrete fourier analysis and wavelets (John Wiley, New Jersey, 2009).
[10] Hyoung-Goo Jeon, Hyoung-Kyu Song, and Erchin Serpedin, Walsh coded training signal aided time domain channel estimation for MIMO-OFDM systems. IEEE Transactions on Communications, vol. 56, no. 9, Sep 2008, pp. 1430-1433
[11] You-Seok Lee, Hyun-Chool Shin, and Hyoung-Nam Kim, Channel estimation based on a time-domain threshold for OFDM systems. IEEE Transactions on broadcasting, vol. 55, no.3, Sep 2009, pp. 656- 662.
[12] S. Chang, M. Lee and J. Park. A high speed VLSI architecture of discrete wavelet transform for MPEG-4. IEEE Transactions on Consumer Electronics, Volume 43, Issue 3, Aug 1997, pp.623 627.
[13] Y. (G.) Li, N. Seshadri, and S. Ariyavisitakul. Channel estimation for OFDM systems with transmitter diversity in mobile wireless channels. IEEE J. Select. Areas Communication., vol. 17, Mar. 1999, pp. 461–471.