DOI QR코드

DOI QR Code

A Generalized Multicarrier Communication System - Part III: Dual Symbol Superposition Block Carrier Transmission with Frequency Domain Equalization

  • Imran Ali (Independent Researcher)
  • Received : 2024.09.05
  • Published : 2024.09.30

Abstract

This paper proposes dual symbol superposition block carrier transmission with frequency domain equalization (DSS-FDE) system. This system is based upon χ-transform matrix, which is obtained by concatenation of discrete Hartley transform (DHT) matrix and discrete Fourier transform (DFT) matrices into single matrix that is remarkably sparse, so that, as it will be shown in this paper, it only has non-zero entries on its principal diagonal and one below the principle anti-diagonal, giving it shape of Latin alphabet χ. When multiplied with constellation mapped complex transmit vector, each entry of resultant vector is weighted superposition of only two entries of original vector, as opposed to all entries in conventional DFT based OFDM. Such a transmitter is close to single carrier block transmission with frequency domain equalization (SC-FDE), which is known to have no superposition. The DSS-FDE offers remarkable simplicity in transmitter design and yields great benefits in reduced complexity and low PAPR. At receiver-end, it offers the ability to harvest full diversity from multipath fading channel, full coding gain, with significant bit error rate (BER) improvement. These results will be demonstrated using both analytical expressions, as well as simulation results. As will be seen, this paper is Part III of three-paper series on alternative transforms for multicarrier communication (MC) systems.

Keywords

References

  1. 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
  2. Ali, I. "A Generalized Multicarrier Communication System-Part II: The T-OFDM System." International Journal of Computer Science and Network Security 24, no. 9 (2024): 21-29
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. Baig, I., and V. Jeoti. "PAPR Analysis of DHT-Precoded OFDM System for M-QAM." In International Conference on Intelligent and Advanced Systems (ICIAS), 1-4. Kuala Lumpur, Malaysia, June 15-17, 2010.
  9. Sharifi, A. A. "Discrete Hartley Matrix Transform Precoding-Based OFDM System to Reduce the High PAPR." ICT Express 5, no. 2 (2019): 100-103.
  10. Baig, I., U. Farooq, N. U. Hasan, M. Zghaibeh, A. Sajid, and U. M. Rana. "A Low PAPR DHT Precoding Based UFMC Scheme for 5G Communication Systems." In 2019 6th International Conference on Control, Decision and Information Technologies (CoDIT), 425-428. Paris, France, April 2019.
  11. Ouyang, X., J. Jin, G. Jin, and P. Li. "Low Complexity Discrete Hartley Transform Precoded OFDM System Over Frequency-Selective Fading Channel." ETRI Journal 37, no. 1 (2015): 32-42.
  12. Anoh, K., C. Tanriover, M. V. Ribeiro, B. Adebisi, and C. H. See. "On the Fast DHT Precoding of OFDM Signals Over Frequency-Selective Fading Channels for Wireless Applications." Electronics 11, no. 19 (2022): 3099.
  13. Ouyang, X., J. Jin, G. Jin, and Z. Wang. "Low Complexity Discrete Hartley Transform Precoded OFDM for Peak Power Reduction." Electronics Letters 48, no. 2 (2012): 19th January.
  14. Ochiai, H., and H. Imai. "On the Distribution of Peak-to-Average Power Ratio in OFDM." IEEE Transactions on Communications 49, no. 9 (2001): 282-289.
  15. Wang, Z., M. Xiaoli, and G. B. Giannakis. "OFDM or Single-Carrier Block Transmissions?" IEEE Transactions on Communications 52, no. 3 (2004): 380-394.
  16. Michalewicz, Z., and D. B. Fogel. How to Solve It: Modern Heuristics. Springer, 2004.
  17. Libeskind, S. Euclidean and Transformational Geometry. Jones & Bartlett Learning, 2007.
  18. Wang, Z., X. Ma, and G. B. Giannakis. "OFDM or Single-Carrier Block Transmissions?" IEEE Transactions on Communications 52, no. 3 (2004): 380-394.
  19. Lin, Y., and S. Phoong. "BER Minimized OFDM Systems with Channel Independent Precoders." IEEE Transactions on Signal Processing 51, no. 9 (2003): 2369-2380.
  20. 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.
  21. 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.
  22. Motorola Inc. "R1-050584: EUTRA Uplink Numerology and Design." 3GPP TSG RAN WG1, Meeting 41bis, June 2005.
  23. Sesia, S., M. P. J. Baker, and I. Toufik. LTE, the UMTS Long Term Evolution: From Theory to Practice. John Wiley and Sons, 2009.