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Research on Channel Estimation Algorithm Based on Fractional Fourier Transform

Author: WuXiaoTao
Tutor: ShaXueJun
School: Harbin Institute of Technology
Course: Information and Communication Engineering
Keywords: Fractional Fourier Transform Chirp signal Parameter Estimation Delay Deviation
CLC: TN911.23
Type: Master's thesis
Year: 2010
Downloads: 140
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Abstract


Fractional Fourier Transform (Fractional Fourier Transform, FRFT) is the Fourier transform of a generalized form that can be understood on the time-frequency plane rotation operator. Signal is transformed to the fractional domain includes both time domain and frequency domain information to enable FRFT has many traditions do not have the properties of the Fourier transform can be used to deal with non-stationary signals. In this paper, the signal delay and frequency shift to the fractional transform domain behave as an offset signal amplitude spectrum characteristics studied based on fractional Fourier transform delay and frequency offset estimation problem. In the time-delay estimation, the existing literature for use Chirp signal in the fractional Fourier domain has the best characteristics of the energy gathered by Chirp signal detection in fractional domain amplitude spectrum of the peak position to get the idea of ??time-delay estimation for its improvements will be introduced to the fractional correlation operation domain signal amplitude spectrum peak position to obtain up, is proposed based on fractional domain signal correlation peak detection delay estimation method, Gaussian white noise environment simulation results show that the method TDE terms mean and variance of scores domain Chirp signal compared to the peak detection method have gained promotion. For fractional domain Chirp signal peak detection method and fractional domain signal correlation peak detection method requires using Chirp signal as transmitted signal defects are introduced based on the domain scores mean squared magnitude difference function (Average Magnitude Squared Fractional Difference Function, AMSFDF) minimization. AMSFDF delay estimation method performance compared to scores of domain Chirp signal peak detection method and fractional domain signal correlation peak detection method are bad, but in the form of signals and the fractional Fourier transform of order selection has great flexibility. Delay and frequency shift in the joint estimation, the functions of traditional fuzzy delay and Doppler frequency shift joint estimation method has the disadvantage of high computational complexity, we introduce three fractional Fourier transform based on the time delay and the frequency shift joint estimation method. Score domain signal wherein the correlation peak detection method is proposed by the literature domain Chirp signal peak score improved detection method, both methods require the use of two Chirp signal as a transmission signal in a single path and multipath channel in case of Simulation results show that the improved method in low SNR conditions can still accurately estimate the delay and frequency offset, and the estimated error is less than fractional domain Chirp signal peak detection method. Based AMSFDF minimal delay and frequency domain joint estimation method is based on the minimum delay estimation AMSFDF improved method, the method requires only a single component of the signal as transmitted signal, and the signal form and transform also has the order of selection of advantage. In computational complexity aspects, these three based on fractional Fourier transform delay and frequency shift joint estimation methods are far less than the traditional cross-correlation based on second-order fuzzy function method, showed that based on fractional Fourier transform The delay and frequency shift joint estimation method has the advantages of computational complexity.

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