Angular decompositions for the discrete fractional signal transforms
Signal Processing
Signal Processing - Special section: Advances in signal processing-assisted cross-layer designs
Time-delay estimation of chirp signals in the fractional Fourier domain
IEEE Transactions on Signal Processing
Mixed Fourier transforms and image encryption
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Short-time fractional fourier transform and its applications
IEEE Transactions on Signal Processing
The discrete fractional Fourier transform based on the DFT matrix
Signal Processing
A new LFM-signal detector based on fractional Fourier transform
EURASIP Journal on Advances in Signal Processing - Special issue on applications of time-frequency signal processing in wireless communications and bioengineering
A SVDD approach of fuzzy classification for analog circuit fault diagnosis with FWT as preprocessor
Expert Systems with Applications: An International Journal
A New Formulation of the Fast Fractional Fourier Transform
SIAM Journal on Scientific Computing
Biorthogonal Frequency Division Multiple Access Cellular System with Angle Division Reuse Scheme
Wireless Personal Communications: An International Journal
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The continuous fractional Fourier transform (FRFT) performs a spectrum rotation of signal in the time-frequency plane, and it becomes an important tool for time-varying signal analysis. A discrete fractional Fourier transform has been developed by Santhanam and McClellan (see ibid., vol.42, p.994-98, 1996) but its results do not match those of the corresponding continuous fractional Fourier transforms. We propose a new discrete fractional Fourier transform (DFRFT). The new DFRFT has DFT Hermite eigenvectors and retains the eigenvalue-eigenfunction relation as a continous FRFT. To obtain DFT Hermite eigenvectors, two orthogonal projection methods are introduced. Thus, the new DFRFT will provide similar transform and rotational properties as those of continuous fractional Fourier transforms. Moreover, the relationship between FRFT and the proposed DFRFT has been established in the same way as the conventional DFT-to-continuous-Fourier transform