Fractional Fourier transform as a signal processing tool: An overview of recent developments
Fractional Fourier transform (FRFT) is a generalization of the Fourier transform, rediscovered
many times over the past 100 years. In this paper, we provide an overview of recent …
many times over the past 100 years. In this paper, we provide an overview of recent …
Short-time fractional Fourier transform and its applications
R Tao, YL Li, Y Wang - IEEE Transactions on Signal Processing, 2009 - ieeexplore.ieee.org
The fractional Fourier transform (FRFT) is a potent tool to analyze the chirp signal. However,
it fails in locating the fractional Fourier domain (FRFD)-frequency contents which is required …
it fails in locating the fractional Fourier domain (FRFD)-frequency contents which is required …
Sparse discrete fractional Fourier transform and its applications
The discrete fractional Fourier transform is a powerful signal processing tool with broad
applications for nonstationary signals. In this paper, we propose a sparse discrete fractional …
applications for nonstationary signals. In this paper, we propose a sparse discrete fractional …
Efficient ECG compression and QRS detection for e-health applications
Current medical screening and diagnostic procedures have shifted toward recording longer
electrocardiogram (ECG) signals, which have traditionally been processed on personal …
electrocardiogram (ECG) signals, which have traditionally been processed on personal …
Research progress on discretization of fractional Fourier transform
R Tao, F Zhang, Y Wang - Science in China Series F: Information …, 2008 - Springer
As the fractional Fourier transform has attracted a considerable amount of attention in the
area of optics and signal processing, the discretization of the fractional Fourier transform …
area of optics and signal processing, the discretization of the fractional Fourier transform …
Generalized sampling expansions with multiple sampling rates for lowpass and bandpass signals in the fractional Fourier transform domain
D Wei, YM Li - IEEE Transactions on Signal Processing, 2016 - ieeexplore.ieee.org
The objective of generalized sampling expansion (GSE) is the reconstruction of an
unknown, continuously defined function f (t) from samples of the responses from M linear …
unknown, continuously defined function f (t) from samples of the responses from M linear …
Lattices sampling and sampling rate conversion of multidimensional bandlimited signals in the linear canonical transform domain
D Wei, W Yang, YM Li - Journal of the Franklin Institute, 2019 - Elsevier
The linear canonical transform (LCT) has been shown to be a powerful tool for optics and
signal processing. Many theories for this transform are already known, but the uniform …
signal processing. Many theories for this transform are already known, but the uniform …
Graph fractional Fourier transform: A unified theory
T Alikaşifoğlu, B Kartal, A Koç - IEEE Transactions on Signal …, 2024 - ieeexplore.ieee.org
The fractional Fourier transform (FRFT) parametrically generalizes the Fourier transform (FT)
by a transform order, representing signals in intermediate time-frequency domains. The …
by a transform order, representing signals in intermediate time-frequency domains. The …
Improving remote health monitoring: A low-complexity ECG compression approach
Recent advances in mobile technology have created a shift towards using battery-driven
devices in remote monitoring settings and smart homes. Clinicians are carrying out …
devices in remote monitoring settings and smart homes. Clinicians are carrying out …
Shift-invariant and sampling spaces associated with the fractional Fourier transform domain
A Bhandari, AI Zayed - IEEE Transactions on Signal Processing, 2011 - ieeexplore.ieee.org
Shift-invariant spaces play an important role in sampling theory, multiresolution analysis,
and many other areas of signal and image processing. A special class of the shift-invariant …
and many other areas of signal and image processing. A special class of the shift-invariant …