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

Science china(Information Sciences) 2010年第6期53卷 1251-1260页

作者： mei lin 1, sha xuejun 1 , ran qinwen 2 & zhang naitong 1 1 communication research center, harbin institute of technology, harbin 150080, china 2 Science research center, harbin institute of technology, harbin 150080, china 1. communication research center Harbin Institute of Technology Harbin 150080 China2. Science Research Center Harbin Institute of Technology Harbin 150080 China

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 ***, the 4-WFRFT of discrete sequences is defined by introducing DFT into it, which makes it suitable for digital communication *** 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 *** a variation could be controlled by the adjustment of transform *** the WFRFT of multi-parameters is implemented, it will be more difficult to intercept and capture the modulated signals than normal.

关键词： 4-weighted fractional Fourier transform modulation/demodulation scheme multi-domain cooperation

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BER analysis of STBC hybrid carrier system based on WFRFT with frequency domain equalization

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Science china(Information Sciences) 2018年第8期61卷 147-159页

作者： Zhenduo WANG lin mei xuejun sha naitong zhang communication research center Harbin Institute of Technology Science and technology on Information Transmission and Dissemination in communication Networks Laboratory

The inherent characteristic of hybrid carrier(HC) scheme based on the weighted-type fractional Fourier transform(WFRFT) is revealed. The proposed linear combination of single carrier(SC) and multicarrier’s(MC) characteristics is helpful to balance the conflicting requirements and achieve the comparative analysis of SC/MC. As an example, analytical SER/BER expressions of HC system with zero forcing(ZF)and minimum mean square error(MMSE) equalization are derived. In addition, the derived BER expressions are extended to multi-input systems. A unified framework of space time block code(STBC) HC scheme is proposed with two WFRFT modules at the transmitter or receiver, where STBC-SC and STBC-MC systems are the special cases of the novel structure.

关键词： single carrier multi-carrier weighted-type fractional Fourier transform hybrid carrier zero forcing minimum mean square error space time block code

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Digital computation of the weighted-type fractional Fourier transform

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Science china(Information Sciences) 2013年第7期56卷 85-96页

作者： mei lin zhang QinYu sha xuejun zhang naitong Shenzhen Graduate School Harbin Institute of Technology communication research center Harbin Institute of Technology

The paper reveals the time-frequency symmetric property of the weighted-type fractional Fourier transform (WFRFT) by investigating the original definition of the WFRFT, and proposes a discrete algorithm of the WFRFT based on the weighted discrete Fourier transform (WDFT) algorithm with constraint conditions of the definition of the WFRFT and time-domain sampling. When the WDFT is considered in digital computation of the WFRFT, the Fourier transform in the definition of the WFRFT should be defined in frequency (Hz) but not angular frequency (rad/s). The sampling period Δt and sampling duration T should satisfy Δt = T/N = 1/N(1/2) when N-point DFT is utilized. Since Hermite-Gaussian functions are the best known eigenfunctions of the fractional Fourier transform (FRFT), digital computation based on eigendecomposition is also carried out as the additional verification and validation for the WFRFT calculation.

关键词： fractional Fourier transform (FRFT) weighted-type fractional Fourier transform (WFRFT) chirp- type fractional Fourier transform (CFRFT) discrete fractional Fourier transform discrete Fourier transform (DFT)

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