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PAPR reduction using constrained convex optimization for vector OFDM

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Abstract

Vector OFDM (VOFDM) is a coding technique that can mitigate the effect of spectral nulls in the channel by converting the single–input–single–output (SISO) channel to a multiple-input-multiple-output (MIMO) channel. This technique acts as a bridge between the conventional orthogonal frequency division multiplexing (OFDM) and single carrier frequency domain multiple access (SC-FDMA). This paper proposes a method to reduce peak-to-average power ratio (PAPR) in vector OFDM systems using constrained convex optimization. The optimization is performed by formulating the PAPR reduction problem as a convex function and then imposing the power and signal-space constraints on it. This paper presents the methodology, complexity analysis, illustrative diagrams, and simulation results of the proposed method. The proposed method shows an improvement in PAPR reduction by 54.59%, whereas the popular probabilistic techniques like selective mapping (SLM) and partial transmit sequence (PTS) give a reduction of 44% and 41.29% respectively. This method also gives flexibility to dedicate the vector blocks with low diversity gain for PAPR reduction. As indicated by the complementary cumulative density function (CCDF) plots, the proposed method offers a 70% PAPR reduction when 5 low performing vector blocks are dedicated for PAPR reduction.

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References

  1. Xia X-G (2001) Precoded and vector OFDM robust to channel spectral nulls and with reduced cyclic prefix length in single transmit antenna systems. IEEE Trans Commun 49(8):1363–1374. https://doi.org/10.1109/26.939855

    Article  MATH  Google Scholar 

  2. Cheng P, Tao M, Xiao Y, Zhang W (2011) V-OFDM: on performance limits over multi-path Rayleigh fading channels. IEEE Trans Commun 59(7):1878–1892. https://doi.org/10.1109/TCOMM.2011.051711.100223

    Article  Google Scholar 

  3. Li Y, Ngebani I, Xia X, Host-Madsen A (2012) On performance of vector OFDM with linear receivers. IEEE Trans Signal Process 60(10):5268–5280. https://doi.org/10.1109/TSP.2012.2205573

    Article  MATH  Google Scholar 

  4. Liu Y, Ji F, Wen M, Wan D, Zheng B (2017) Vector OFDM with index modulation. IEEE Access 5:20135–20144. https://doi.org/10.1109/ACCESS.2017.2756080

    Article  Google Scholar 

  5. Han C, Hashimoto T, Suehiro N (2010) Constellation-rotated vector OFDM and its performance analysis over rayleigh fading channels. IEEE Trans Commun 58(3):828–838. https://doi.org/10.1109/TCOMM.2010.03.080291

    Article  Google Scholar 

  6. Han J, Leus G (2017) Space-time and space-frequency block coded vector OFDM modulation. IEEE Commun Lett 21(1):204–207. https://doi.org/10.1109/LCOMM.2016.2614812

    Article  Google Scholar 

  7. Jeemon BK, Kassim ST (2020) Design and analysis of a novel space-time- frequency block coded vector OFDM scheme robust to Rayleigh fading. 2020 IEEE 17th India Council International Conference (INDICON), New Delhi, India, pp 1–5. https://doi.org/10.1109/INDICON49873.2020.9342086

  8. Jeemon BK, Kassim ST (2021) Space time block coded vector OFDM with ML detection. 2021 8th International Conference on Smart Computing and Communications (ICSCC), pp 145–148. https://doi.org/10.1109/ICSCC51209.2021.9528236

  9. Alamouti SM (1998) A simple transmit diversity technique for wireless communications. IEEE J Sel Areas Commun 16(8):1451–1458. https://doi.org/10.1109/49.730453

    Article  Google Scholar 

  10. Raviteja P, Hong Y, Viterbo E, Biglieri E (2019) Practical pulse-shaping waveforms for reduced-cyclic-prefix OTFS. IEEE Trans Veh Technol 68(1):957–961. https://doi.org/10.1109/TVT.2018.2878891

    Article  Google Scholar 

  11. Bauml RW, Fisher RFH, Huber JB (1996) Reducing the peak-to-average power ratio of multicarrier modulation by selected mapping. IEE Electron Lett 32(22):2056–2057

    Article  Google Scholar 

  12. Muller SH, Huber JB (1997) OFDM with reduced peak-to average power ratio by optimum combination of partial transmit sequences. IEE Electron Lett 33(5):368–369

    Article  Google Scholar 

  13. Panta KR, Armstrong J (2004) Effect of clipping on the error performance of OFDM in frequency selective fading channels. IEEE Trans Wireless Commun 3(2):668–671

    Article  Google Scholar 

  14. Kim D, Shi D, Park Y, Song B (2005) New peak-windowing for PAPR reduction of OFDM systems. In: Proc. Asia-Pacific Conference on Wearable Computing Systems (APWCS), pp 169–173

  15. Xiao H, Jianhua L, Justin C, Junli Z (2001) Companding transform for the reduction of peak-to-average power ratio of OFDM signals. In: Proc. IEEE Vehicular Technology Conference (VTC), pp 835–839

  16. Börjesson P, Feichtinger HG, Grip N, Isaksson M, Kaiblinger N, Ödling P, Persson L (1999) A low-complexity PAR-reduction method for DMT-VDSL. In: Proc. 5th International Symposium on Digital Signal Processing for Communications Systems (DSPCS), Perth, Australia, pp 164–169

  17. Fragicomo S, Matrakidis C, OReilly JJ (1998) Multicarrier transmission peak-to-average power reduction using simple block code. IEE Electron Lett 34(14):953–954

    Article  Google Scholar 

  18. Rahmatallah Y, Mohan S (2013) Peak-to-average power ratio reduction in OFDM systems: a survey and taxonomy. IEEE Commun Surv Tutor 15(4):1567–1592. https://doi.org/10.1109/SURV.2013.021313.00164

    Article  Google Scholar 

  19. Ni C, Jiang T, Peng W (2015) Joint PAPR reduction and sidelobe suppression using signal cancelation in NC-OFDM-based cognitive radio systems. IEEE Trans Veh Technol 64(3):964–972. https://doi.org/10.1109/TVT.2014.2327012

    Article  Google Scholar 

  20. van Nee R, de Wild A (1998) Reducing the peak-to-average power ratio of OFDM, VTC '98. 48th IEEE Vehicular Technology Conference. Pathway to Global Wireless Revolution (Cat. No.98CH36151), vol 3, pp 2072–2076. https://doi.org/10.1109/VETEC.1998.686121

  21. Grant M, Boyd S (2013) CVX: Matlab software for disciplined convex programming (Web Page and Software). [Online]. Available: http://cvxr.com/cvx

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Authors and Affiliations

  1. Division of Electronics Engineering, SoE, Cochin University of Science and Technology, Kochi, Kerala, India

    Basil K. Jeemon & T. K. Shahana

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  1. Basil K. Jeemon
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  2. T. K. Shahana
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Correspondence to Basil K. Jeemon.

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Jeemon, B.K., Shahana, T.K. PAPR reduction using constrained convex optimization for vector OFDM. Ann. Telecommun. 78, 91–99 (2023). https://doi.org/10.1007/s12243-022-00927-6

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