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An Efficient Low Complexity Transform for DCT-OFDM Based Wireless Communication System

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Abstract

A precise method for the performance of a new DCT based OFDM system using a low complexity T-transform that combines the WHT and the DCT into a single fast orthonormal unitary transform (T-DCT) on AWGN and Rayleigh fading channels is proposed. The T-transform is developed through the sparse matrices factorization using tensor product scheme. Several signaling formats such as quadrature phase shift keying and 16-ary quadrature amplitude modulation are considered. Theoretical analysis of the T-transform for DCT based OFDM is presented in this work. Analysis and simulation results demonstrated that the proposed OFDM system achieves lower PAPR and the better BER over AWGN and Rayleigh fading channels. Compared to T-DFT of OFDM, T-DCT of OFDM is found to have lower PAPR and better BER therefore, T-DCT OFDM system outperforms the T-DFT OFDM on AWGN and Rayleigh fading environments. Simulation results are used to examine and compare the PAPR and the BER performance of T-DCT OFDM system and T-DFT OFDM system. Numerical results show that the T-DCT OFDM system outperforms the T-DFT OFDM system on AWGN and Rayleigh channel models.

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References

  1. Liu, H., & Li, G. (2005). OFDM-based broadband wireless networks; Design and optimization. New Jersey: Wiley.

    Book  Google Scholar 

  2. Proakis, J. G., & Salehi, M. (2008). Digital communication (5th ed.). New York: McGraw-Hill.

    Google Scholar 

  3. Digital video broadcasting (DVB). (2011). Frame structure, channel coding and modulation for a second generation digital terrestrial television broadcasting system (DVB-T2), ETSI EN 302 755, V1.2.1, European Telecommunications Standards Institute, Feb 2011.

  4. Wireless LAN medium access control (MAC) and physical layer(PHY) specifications. (2009). Enhancement for higher throughput, IEEE Standard 802.11n.

  5. IEEE standard for broadband over power line networks. (2010). Medium access control and physical layer specifications, IEEE standard 1901.2010, Dec 2010.

  6. Very high speed digital subscriber line 2 (VDSL2). (2006). ITU-T recommendation G.993.2.

  7. IEEE standard for local and metropolitan area networks. (2009). Part 16:Air interface for broadband wireless access systems, IEEE standard 802.16e, May 2009.

  8. Evolved universal terrestrial radio access (E-UTRA). (2008). Physical channels and modulation, 3 GPP, TS 36.211, v 8.4.0, 3 GPP technical specification, Sep 2008.

  9. Tan, P., & Beaulieu, N. C. (2006). A comparison of DCT-based OFDM and DFT-based OFDM in frequency offset and fading channels. IEEE Transactions Communications, 54(11), 2113–2125.

    Article  Google Scholar 

  10. Attallah, S., & Nilsson, J. E. M. (1998). Sequences leading to minimum peak-to-average power ratios for DCT-based multicarrier modulation. Electronics Letters, 34(15), 1469–1470.

    Article  Google Scholar 

  11. Jiang, T., & Wu, Y. (2008). An overview: Peak-to-average power ratio reduction techniques for OFDM signals. IEEE Transactions on Broadcasting, 54(2), 257–268.

    Article  Google Scholar 

  12. Al-Dhahir, N., Minn, H., & Satish, S. (2006). Optimum DCT-based multicarrier transceivers for frequency-selective channels. IEEE Transactions and Communications, 54(5), 911–921.

    Article  Google Scholar 

  13. Gao, F., Cui, T., Nallanathan, A., & Tellambura, C. (2008). Maximum likelihood based estimation of frequency and phase offset in DCT OFDM systems under non-circular transmissions: Algorithms, analysis and comparisons. IEEE Transactions and Communications, 56(9), 1425–1429.

    Article  Google Scholar 

  14. Cruz-Roldan, F., Dominguez-Jimenez, M. E., Sansigre Vidal, G., Amo-Lopez, P., Blanco-Velasco, M., & Bravo-Santos, Á. (2012). On the use of discrete cosine transforms for multicarrier communications. IEEE Transactions on Signal Processing, 60(11), 6085–6090.

    Article  MathSciNet  Google Scholar 

  15. Boussakta, S., & Holt, A. G. J. (1989). Fast algorithm for calculation of both Walsh–Hadamard and Fourier transforms (FWFTs). IEEE Electronics Letters, 25(20), 1352–1354.

    Article  MATH  Google Scholar 

  16. Ahmed, M. S., Boussakta, S., Sharif, B., & Tsimenidis, C. C. (2011). OFDM based on low complexity transform to increase multipath resilience and reduce PAPR. IEEE Transactions on Signal Processing, 3(6), 2013–2018.

    MathSciNet  Google Scholar 

  17. Deepa, T., & Kumar, R. (2014). Application of the joint fast Walsh Hadamard-inverse fast Fourier transform in a LDPC coded OFDM wireless communication system: Performance and complexity analysis. International Journal of Wireless Personal Communications, 77(4), 3177–3192. doi:10.1007/s11277-014-1702-6.

    Article  Google Scholar 

  18. Rao, K. R., & Yip, P. (1990). Discrete cosine transform: Algorithms, advantages, applications. Boston, MA: Academic Press.

    Book  MATH  Google Scholar 

  19. Rama Murthy, N., & Swamy, M. N. S. (1993). On a novel decomposition of the DCT and its application. IEEE Transactions on Signal Processing, 41(1), 480–485.

    Article  MATH  Google Scholar 

  20. Srinivasan, R., & Rao, K. (1983). An approximation to the discrete cosine transform for N = 16. Signal Processing, 5(1), 81–85.

    Article  Google Scholar 

  21. Robinson, G. (1972). Logical convolution and discrete walsh and fourier power spectra. IEEE Transactions on Audio and Electroacoustics, 20(4), 271–280.

    Article  Google Scholar 

  22. Kwak, H. S., Srinivasan, R., & Rao, K. R. (1983). C-Matrix transform. IEEE Transactions on Acoustics Speech and Signal Processing, 31(5), 1304–1307.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of TCE, SRM University, Chennai, India

    T. Deepa

  2. Department of ECE, SRM University, Chennai, India

    R. Kumar

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  1. T. Deepa
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  2. R. Kumar
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Correspondence to T. Deepa.

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Deepa, T., Kumar, R. An Efficient Low Complexity Transform for DCT-OFDM Based Wireless Communication System. Wireless Pers Commun 82, 201–214 (2015). https://doi.org/10.1007/s11277-014-2203-3

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  • DOI: https://doi.org/10.1007/s11277-014-2203-3

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