Angular decompositions for the discrete fractional signal transforms
Signal Processing
Time delay estimation using fractional Fourier transform
Signal Processing
Improved Fractional Fourier Transform Based Receiver for Spatial Multiplexed MIMO Antenna Systems
Wireless Personal Communications: An International Journal
A Novel FRFT Beamformer for Rayleigh Faded Channels
Wireless Personal Communications: An International Journal
IEEE Transactions on Signal Processing
An Efficient FPGA-based Implementation of Fractional Fourier Transform Algorithm
Journal of Signal Processing Systems
Short-time fractional fourier transform and its applications
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
ICI analysis for FRFT-OFDM systems to frequency offset in time-frequency selective fading channels
IEEE Communications Letters
Eigenvectors of the discrete Fourier transform based on the bilinear transform
EURASIP Journal on Advances in Signal Processing - Special issue on applications of time-frequency signal processing in wireless communications and bioengineering
Sampling random signals in a fractional Fourier domain
Signal Processing
A Novel Multiuser SISO-BOFDM Systems with Group Fractional Fourier Transforms Scheme
Wireless Personal Communications: An International Journal
Analysis of FRFT Based MMSE Receiver for MIMO Systems
Wireless Personal Communications: An International Journal
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For time-invariant degradation models and stationary signals and noise, the classical Fourier domain Wiener filter, which can be implemented in O(N log N) time, gives the minimum mean-square-error estimate of the original undistorted signal. For time-varying degradations and nonstationary processes, however, the optimal linear estimate requires O(N2) time for implementation. We consider filtering in fractional Fourier domains, which enables significant reduction of the error compared with ordinary Fourier domain filtering for certain types of degradation and noise (especially of chirped nature), while requiring only O(N log N) implementation time. Thus, improved performance is achieved at no additional cost. Expressions for the optimal filter functions in fractional domains are derived, and several illustrative examples are given in which significant reduction of the error (by a factor of 50) is obtained