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Analysis of Weighted Fractional Fourier Transform Based Hybrid Carrier Signal Characteristics

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Abstract

Recently, a weighted fractional Fourier transform (WFRFT) based hybrid carrier (HC) system has been proposed, which can converge single-carrier (SC) and multi-carrier (MC) systems. The cost and power dissipation of analog components often dominate in practical HC systems. Therefore, in this paper, we analyze the baseband HC signal characteristics, including average signal power, power spectral density (PSD), probability density function (PDF), peak-to-average power ratio (PAPR), and complementary cumulative distribution function (CCDF), using a continuous-time HC signal approximation method. Through theoretical analysis and simulation validation, it is proved that the approximation method does not change the average signal power, bandwidth and out-of-band emission (OOBE). The theoretical PDF expression of HC signal with the approximation method is then proposed. Furthermore, the PDF can also explain why the PAPR of baseband continuous-time HC signal is higher than that of discrete-time HC signal. The PAPR performance and the power amplifier (PA) efficiency of HC systems in different conditions are analyzed. Through the PDF analysis of HC signal envelope and the numerical computations of PAPR, it is shown that the approximation method can offer a precise characteristic description for HC signal, which can help to improve the system PAPR performance and the PA efficiency.

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Authors and Affiliations

  1. Communication Research Center, School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, 150001, China

    Xiaolu Wang  (王晓鲁), lin Mei  (梅 林), Zhenduo Wang  (王震铎) & Xuejun Sha  (沙学军)

  2. Science and Technology on Communication Networks Laboratory, 54th Institute, Shijiazhuang, 050081, China

    Xiaolu Wang  (王晓鲁)

Authors
  1. Xiaolu Wang  (王晓鲁)
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  2. lin Mei  (梅 林)
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  3. Zhenduo Wang  (王震铎)
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  4. Xuejun Sha  (沙学军)
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Corresponding author

Correspondence to lin Mei  (梅 林).

Additional information

Foundation item: the National Natural Science Foundation of China (No. 61671179), the National Basic Research Program of China (No. 2013CB329003), and the Funding of Science and Technology on Communication Networks Laboratory

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Wang, X., Mei, l., Wang, Z. et al. Analysis of Weighted Fractional Fourier Transform Based Hybrid Carrier Signal Characteristics. J. Shanghai Jiaotong Univ. (Sci.) 25, 27–36 (2020). https://doi.org/10.1007/s12204-020-2156-5

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  • DOI: https://doi.org/10.1007/s12204-020-2156-5

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