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Research on the application of 4-weighted fractional Fourier transform in communication system

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Abstract

The paper reveals the relationship between the weighting coefficients and weighted functions via the research of coefficients matrix and based on the original definition of 4-weighted fractional Fourier transform (4-WFRFT). The multi-parameters expression of weighting coefficients are given. Moreover, the 4-WFRFT of discrete sequences is defined by introducing DFT into it, which makes it suitable for digital communication systems. After analyzing the properties of WFRFT, a typical scheme for modulation/demodulation is proposed, which could make the statistics properties of the real and image part on both of the time and frequency domain and the phase properties have a significant variation. Such a variation could be controlled by the adjustment of transform parameters. If the WFRFT of multi-parameters is implemented, it will be more difficult to intercept and capture the modulated signals than normal.

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References

  1. Cariolaro G, Erseghe T, Kraniauskas P, et al. A unified framework for the fractional Fourier transforms. IEEE Trans Signal Process, 1998, 46: 3206–3219

    Article  MATH  MathSciNet  Google Scholar 

  2. Cariolaro G, Erseghe T, Kraniauskas P, et al. Multiplicity of fractional Fourier transforms and their relationships. IEEE Trans Signal Process, 2000, 48: 227–241

    Article  MATH  MathSciNet  Google Scholar 

  3. Ran Q W, Yeung D S, E. Tsang C C, et al. General multifractional Fourier transform method based on the generalized permutation matrix group. IEEE Trans Signal Process, 2005, 53: 83–98

    Article  MathSciNet  Google Scholar 

  4. Shih C C. Fractionalization of Fourier transform. Opt Commun, 1995, 118: 495–498

    Article  Google Scholar 

  5. Liu S, Zhang J, Zhang Y. Properties of the fractionalization of a Fourier transform. Opt Commun, 1997, 133: 50–54

    Article  Google Scholar 

  6. Proakis J G. Digital Communications. 4th ed. Beijing: Publishing House of Electronics Industry, 2006. 147–151

    Google Scholar 

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Authors and Affiliations

  1. Communication Research Center, Harbin Institute of Technology, Harbin, 150080, China

    Lin Mei, XueJun Sha & NaiTong Zhang

  2. Science Research Center, Harbin Institute of Technology, Harbin, 150080, China

    QinWen Ran

Authors
  1. Lin Mei
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  2. XueJun Sha
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  3. QinWen Ran
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  4. NaiTong Zhang
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Correspondence to Lin Mei.

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Mei, L., Sha, X., Ran, Q. et al. Research on the application of 4-weighted fractional Fourier transform in communication system. Sci. China Inf. Sci. 53, 1251–1260 (2010). https://doi.org/10.1007/s11432-010-0073-1

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  • DOI: https://doi.org/10.1007/s11432-010-0073-1

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