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The Fractional Fourier Transform: with Applications in Optics and Signal Processing
TLDR
The fractional Fourier transform (FFT) as discussed by the authors has been used in a variety of applications, such as matching filtering, detection, and pattern recognition, as well as signal recovery.Abstract:
Preface. Acknowledgments. Introduction. Signals, Systems, and Transformations. Wigner Distributions and Linear Canonical Transforms. The Fractional Fourier Transform. Time-Order and Space-Order Representations. The Discrete Fractional Fourier Transform. Optical Signals and Systems. Phase-Space Optics. The Fractional Fourier Transform in Optics. Applications of the Fractional Fourier Transform to Filtering, Estimation, and Signal Recovery. Applications of the Fractional Fourier Transform to Matched Filtering, Detection, and Pattern Recognition. Bibliography on the Fractional Fourier Transform. Other Cited Works. Credits. Index.read more
Citations
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Proceedings ArticleDOI
Relationship between quaternion linear canonical and quaternion fourier transforms
Mawardi Bahri,Ryuichi Ashino +1 more
TL;DR: The quaternion linear canonical transform (QLCT) as discussed by the authors is a generalization of the QFT to the linear canonical transformation (LCT) domain, which can be reduced to the quaternions Fourier transform (QFT).
Proceedings ArticleDOI
Narrowband interference suppression method in Cognitive Ultra-wide Band Radio
TL;DR: A novel narrowband interference (NBI) suppression method in Cognitive Ultra-wide Band (CUWB) Radio system is investigated, which shows that the UWB pulse waveform designed by Semi-definite Programming (SDP), which is a weighted sum of chirp functions, meets the emission mask established by the Federal Communications Commission (FCC).
Proceedings ArticleDOI
Design of a fractional zero-phase filter based on liouville-weyl integral
TL;DR: Liouville-Weyl fractional integrator is proposed in this paper for non-causal and non-integeral dimensional signal processing, where a novel and computationally efficient, fractional zero-phase FIR filter is proposed by a definition of Liouville -Weyl integral integrator.
Journal ArticleDOI
Distributed water-filling algorithm for direct-sequence ultra wideband cognitive radio network with limit on aggregate power emission
TL;DR: A water-filling algorithm is proposed that maximises the sum capacity while enabling each transmitter to fit its power spectral density into, and thus to make the most of, the spectrum void.
Journal ArticleDOI
On bandlimitedness of signals in the 2D-nonseparable linear canonical transform domains
TL;DR: It is seen that perfect reconstruction of signals can be achieved at sampling rates less than the Nyquist rate (based on the bandwidth in the conventional Fourier transform domain) under some specific values of the parameters of the 2D-NSLCT.