A single-carrier modulation system based on the fractional fourier domain equalization in aeronautical channels

The channel is time-frequency-selective due to considerable relative movement between airborne communication transceivers in aeronautical communications systems. The performances based on traditional orthogonal frequency division multiplexing (OFDM) and single carrier frequency domain equalization (SC-FDE) systems are degraded because of the timing variant characteristic under time-frequency-selective channels. To get better performance, researches have been done for the OFDM system based on the fractional Fourier transform through selecting the optimal fractional order. However, the application of the method is limited because of the request of feedback link. This paper proposes a signal carrier modulation systems with equalization based on the fractional Fourier transform (SC-FRFDE), in which the feed-back link is not necessary. After description of the channel characteristic, the channel estimator and equalizer are designed according to the least squares (LS) algorithm and zero forcing criterion. Moreover, the algorithm for selecting the optimal order of fractional Fourier transform is derived. Theoretical analysis and numerical simulation results show that the system can significantly improve the performance of SC-FDE system.

[1]  Jianping An,et al.  Delay and Doppler Shift Joint Tracking Method for OFDM Based Aeronautical Communication Systems , 2008, 2008 4th International Conference on Wireless Communications, Networking and Mobile Computing.

[2]  Soo-Chang Pei,et al.  Discrete Fractional Fourier Transform Based on New Nearly Tridiagonal Commuting Matrices , 2006, IEEE Trans. Signal Process..

[3]  Phillip A. Bello,et al.  Aeronautical Channel Characterization , 1973, IEEE Trans. Commun..

[4]  Zhou Min Digital Computation of Fractional Fourier Transform , 2002 .

[5]  Ran Tao,et al.  The OFDM System Based on the Fractional Fourier Transform , 2006, First International Conference on Innovative Computing, Information and Control - Volume I (ICICIC'06).

[6]  Soo-Chang Pei,et al.  Closed-form discrete fractional and affine Fourier transforms , 2000, IEEE Trans. Signal Process..

[7]  David Falconer,et al.  Frequency domain equalization for single-carrier broadband wireless systems , 2002, IEEE Commun. Mag..

[8]  Massimiliano Martone,et al.  A multicarrier system based on the fractional Fourier transform for time-frequency-selective channels , 2001, IEEE Trans. Commun..

[9]  Shaoping Chen,et al.  ICI and ISI analysis and mitigation for OFDM systems with insufficient cyclic prefix in time-varying channels , 2004, IEEE Trans. Consumer Electron..

[10]  Yue Wang,et al.  Frequency-Domain Channel Estimation for SC-FDE in UWB Communications , 2006, IEEE Transactions on Communications.

[11]  S. Pei,et al.  Improved discrete fractional Fourier transform. , 1997, Optics letters.

[12]  Magdy T. Hanna,et al.  Hermite-Gaussian-like eigenvectors of the discrete Fourier transform matrix based on the singular-value decomposition of its orthogonal projection matrices , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[13]  Soo-Chang Pei,et al.  Random Discrete Fractional Fourier Transform , 2009, IEEE Signal Processing Letters.

[14]  Phillip A. Bello,et al.  Evaluation of mobile ultra wideband modems in dense multipath-part 1: channel model , 2007, IEEE Transactions on Wireless Communications.

[15]  Meng Xiang-yi The OFDM System and Equalization Algorithm Based on the Fractional Fourier Transform , 2007 .

[16]  Tomaso Erseghe,et al.  Method for defining a class of fractional operations , 1998, IEEE Trans. Signal Process..

[17]  Peter Adam Hoeher,et al.  A statistical discrete-time model for the WSSUS multipath channel , 1992 .

[18]  Levent Onural,et al.  Optimal filtering in fractional Fourier domains , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.