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A Generalized Multicarrier Communication System - Part II: The T-OFDM System

  • Imran Ali (Independent Researcher)
  • 투고 : 2024.09.05
  • 발행 : 2024.09.30

초록

Precoding of the orthogonal frequency division multiplexing (OFDM) with Walsh Hadamard transform (WHT) is known in the literature. Instead of performing WHT precoding and inverse discrete Fourier transform separately, a product of two matrix can yield a new matrix that can be applied with lower complexity. This resultant transform, T-transform, results in T-OFDM. This paper extends the limited existing work on T-OFDM significantly by presenting detailed account of its computational complexity, a lower complexity receiver design, an expression for PAPR and its cumulative distribution function (cdf), sensitivity of T-OFDM to timing synchronization errors, and novel analytical expressions signal to noise ratio (SNR) for multiple equalization techniques. Simulation results are presented to show significant improvements in PAPR performance, as well improvement in bit error rate (BER) in Rayleigh fading channel. This paper is Part II of a three-paper series on alternative transforms and many of the concepts and result refer to and stem from results in generalized multicarrier communication (GMC) system presented in Part I of this series.

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참고문헌

  1. 3GPP. "5G; NR; Physical Channels and Modulation." 3rd Generation Partnership Project (3GPP), TS 38.211, v15.2.0, June 2018.
  2. IEEE. "IEEE Standard for Information Technology-Telecommunications and Information Exchange Between Systems-Local and Metropolitan Area Networks-Specific Requirements-Part 11: Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) Specifications." IEEE Std 802.11-2016 (Revision of IEEE Std 802.11-2012), 1-3534, Dec. 2016.
  3. Sun, Y. "Bandwidth-Efficient Wireless OFDM." IEEE Journal on Selected Areas in Communications 19, no. 11 (2001): 2267-2278.
  4. Peled, A., and A. Ruiz. "Frequency Domain Data Transmission Using Reduced Computational Complexity Algorithms." In Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 964-967. Denver, CO, USA, April 1980.
  5. Wang, Z., and G. B. Giannakis. "Complex-Field Coding for OFDM over Fading Wireless Channels." IEEE Transactions on Information Theory 49, no. 3 (2003): 707-720.
  6. Bauml, R. W., R. F. H. Fischer, and J. B. Huber. "Reducing the Peak-to-Average Power Ratio of Multicarrier Modulation by Selected Mapping." Electronics Letters 32, no. 22 (1996): 2056-2057.
  7. Moose, P. H. "A Technique for Orthogonal Frequency Division Multiplexing Frequency Offset Correction." IEEE Transactions on Communications 42, no. 10 (1994): 2908-2914.
  8. Muller, S. H., R. W. Bauml, R. F. H. Fischer, and J. B. Huber. "OFDM with Reduced Peak-to-Average Power Ratio by Multiple Signal Representation." Annales des Telecommunications 52, no. 1-2 (1997): 58-67.
  9. Shao, X., R. Schiphorst, and C. H. Slump. "An Opportunistic Error Correction Layer for OFDM Systems." EURASIP Journal on Wireless Communications and Networking 2009, pp. 1-10, Jan. 2009.
  10. Chang, M. X., and T. D. Hsieh. "Detection of OFDM Signals in Fast-Varying Channels with Low-Density Pilot Symbols." IEEE Transactions on Vehicular Technology 57, no. 2 (2008): 859-872.
  11. Mandyam, G. "Sinusoidal Transforms in OFDM Systems." IEEE Transactions on Broadcasting 50, no. 2 (2004): 172-184.
  12. Wang, D., D. Liu, F. Liu, and G. Yue. "A Novel DHT-Based Ultra-Wideband System." In Proceedings of IEEE International Symposium on Communications and Information Technology, 672-675. Beijing, China, October 2005.
  13. Jao, C., S. Long, and M. Shiue. "DHT-Based OFDM System for Passband Transmission over Frequency-Selective Channel." IEEE Signal Processing Letters 17, no. 8 (2010): 699-702.
  14. Ahmed, M. S., S. Boussakta, B. Sharif, and C. C. Tsimenidis. "OFDM Based on Low Complexity Transform to Increase Multipath Resilience and Reduce PAPR." IEEE Transactions on Signal Processing 59, no. 12 (2011): 5994-6007.
  15. Ali, I., A. Pollok, L. Luo, and L. Davis. "A Low Complexity Receiver for T-Transform Based OFDM Systems." In Proceedings of IEEE 22nd International Symposium on Personal Indoor and Mobile Radio Communications, 1611-1615. Toronto, Canada, 2011.
  16. Ahmed, M., S. Boussakta, B. Sharif, and C. Tsimenidis. "OFDM Based New Transform with BER Performance Improvement Across Multipath Transmission." In Proceedings of IEEE International Conference on Communications, 1-5. Cape Town, South Africa, May 2010.
  17. Baig, I., and V. Jeoti. "PAPR Analysis of DHT-Precoded OFDM System for M-QAM." In Proceedings of International Conference on Intelligent and Advanced Systems (ICIAS), 1-4. Kuala Lumpur, Malaysia, 2010.
  18. Ali, I. "A Generalized Multicarrier Communication System-Part I: Theoretical Performance Analysis and Bounds," International Journal of Computer Science and Network Security 24, no. 9 (2024): 1-11.
  19. Nee, R. V., and A. de Wild. "Reducing the Peak-to-Average Power Ratio of OFDM." In Proceedings of 48th IEEE Vehicular Technology Conference, 2072-2076. Ottawa, Canada, 1998.
  20. Robinson, G. "Logical Convolution and Discrete Walsh and Fourier Power Spectra." IEEE Transactions on Audio and Electroacoustics 20, no. 4 (1972): 271-280.
  21. Erceg, V., K. Hari, M. Smith, C. Tappenden, J. Costa, D. Baum, and C. Bushue. "Channel Models for Fixed Wireless Applications." In IEEE 802.16 Broadband Wireless Access Working Group, 2001. 
  22. Ahmed, M. S., S. Boussakta, B. Sharif, and C. C. Tsimenidis. "OFDM Based on Low Complexity Transform to Increase Multipath Resilience and Reduce PAPR." IEEE Transactions on Signal Processing 59, no. 12 (2011): 5994-6007.
  23. Wang, Z., X. Ma, and G. B. Giannakis. "OFDM or Single-Carrier Block Transmissions?" IEEE Transactions on Communications 52, no. 3 (2004): 380-394.
  24. Gentle, J. E. Matrix Algebra. Springer Publishing, 2007.
  25. Garling, D. J. H. Inequalities. Cambridge University Press, July 2007.
  26. Lin, Y., and S. Phoong. "BER Minimized OFDM Systems with Channel Independent Precoders." IEEE Transactions on Signal Processing 51, no. 9 (2003): 2369-2380.