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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 …
Research progress of the fractional Fourier transform in signal processing
The fractional Fourier transform is a generalization of the classical Fourier transform, which
is introduced from the mathematic aspect by Namias at first and has many applications in …
is introduced from the mathematic aspect by Namias at first and has many applications in …
Closed-form discrete fractional and affine Fourier transforms
The discrete fractional Fourier transform (DFRFT) is the generalization of discrete Fourier
transform. Many types of DFRFT have been derived and are useful for signal processing …
transform. Many types of DFRFT have been derived and are useful for signal processing …
Short-time fractional Fourier transform and its applications
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 …
Recognition of radar compound jamming based on convolutional neural network
The modern electromagnetic environment is becoming more and more complicated, and
during detection, radar may face not only single jamming but also compound jamming …
during detection, radar may face not only single jamming but also compound jamming …
Lv's distribution: principle, implementation, properties, and performance
This paper proposes a novel representation, known as Lv's distribution (LVD), of linear
frequency modulated (LFM) signals. It has been well known that a monocomponent LFM …
frequency modulated (LFM) signals. It has been well known that a monocomponent LFM …
Classification of heart sounds using fractional fourier transform based mel-frequency spectral coefficients and traditional classifiers
Heart sounds are a rich source of information for early diagnosis of cardiac pathologies.
Distinguishing normal from abnormal heart sounds requires a specially trained clinician. Our …
Distinguishing normal from abnormal heart sounds requires a specially trained clinician. Our …
Fractional Charlier moments for image reconstruction and image watermarking
In this paper, we propose a new set of discrete orthogonal polynomials called fractional
Charlier polynomials (FrCPs). This new set will be used as a basic function to define the …
Charlier polynomials (FrCPs). This new set will be used as a basic function to define the …
Computation of the fractional Fourier transform
In this paper we make a critical comparison of some Matlab programs for the digital
computation of the fractional Fourier transform that are freely available and we describe our …
computation of the fractional Fourier transform that are freely available and we describe our …
Response of a non-linear system with restoring forces governed by fractional derivatives—Time domain simulation and statistical linearization solution
In this paper, the random response of a non-linear system comprising frequency dependent
restoring force terms is examined. These terms are accurately modeled in seismic isolation …
restoring force terms is examined. These terms are accurately modeled in seismic isolation …