Angular decompositions for the discrete fractional signal transforms
Signal Processing
Fractional transforms in optical information processing
EURASIP Journal on Applied 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
Sampling random signals in a fractional Fourier domain
Signal Processing
Analysis of FRFT Based MMSE Receiver for MIMO Systems
Wireless Personal Communications: An International Journal
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We present a new method of beamforming using the fractional Fourier transform (FrFT). This method encompasses the conventional minimum mean-squared error (MMSE) beamforming in the frequency domain or spatial domain as special cases. It is especially useful for applications involving chirp signals such as signal enhancement problems with accelerating sinusoidal sources where the Doppler effect generates chirp signals and a frequency shift and active radar problems where chirp signals are transmitted. Numerical examples demonstrate the potential advantage of the proposed method over the ordinary frequency or spatial domain beamforming for a moving source scenario.