A review of wavelet analysis and its applications: Challenges and opportunities
As a general and rigid mathematical tool, wavelet theory has found many applications and is
constantly developing. This article reviews the development history of wavelet theory, from …
constantly developing. This article reviews the development history of wavelet theory, from …
The fractional Fourier transform
HM Ozaktas, MA Kutay - 2001 European Control Conference …, 2001 - ieeexplore.ieee.org
A brief introduction to the fractional Fourier transform and its properties is given. Its relation
to phase-space representations (time-or space-frequency representations) and the concept …
to phase-space representations (time-or space-frequency representations) and the concept …
[图书][B] Wavelet transforms and their applications
L Debnath, FA Shah - 2015 - Springer
Historically, the theory of Hilbert spaces originated from David Hilbert's (1862–1943) work
on quadratic forms in infinitely many variables with their applications to integral equations …
on quadratic forms in infinitely many variables with their applications to integral equations …
The fractional Fourier transform as a biomedical signal and image processing tool: A review
This work presents a literature review of the fractional Fourier transform (FrFT) investigations
and applications in the biomedical field. The FrFT is a time-frequency analysis tool that has …
and applications in the biomedical field. The FrFT is a time-frequency analysis tool that has …
An image encryption algorithm based on discrete fractional wavelet transform and quantum chaos
C Li, X Yang - Optik, 2022 - Elsevier
Aiming at low security of traditional encryption methods, a new image encryption algorithm
based on discrete fractional wavelet transform (DFRWT) and quantum Logistic mapping is …
based on discrete fractional wavelet transform (DFRWT) and quantum Logistic mapping is …
FrWT-PPCA-based R-peak detection for improved management of healthcare system
Fourier analysis is well known to provide complete information of the frequencies present in
a signal. But in the process, time information is lost. Therefore, its time-frequency …
a signal. But in the process, time information is lost. Therefore, its time-frequency …
Synchrosqueezed fractional wavelet transform: A new high-resolution time-frequency representation
The synchrosqueezed wavelet transform (SSWT) has been proven to be a powerful time-
frequency analysis tool. However, this transform is unable to deal with signals with fast …
frequency analysis tool. However, this transform is unable to deal with signals with fast …
Fractional quaternion Zernike moments for robust color image copy-move forgery detection
In this paper, fractional Zernike moments (FrZMs) for complex signals are generalized to
fractional quaternion Zernike moments (FrQZMs) for quaternion signal processing in a …
fractional quaternion Zernike moments (FrQZMs) for quaternion signal processing in a …
A novel fractional wavelet transform and its applications
J Shi, NT Zhang, XP Liu - Science China Information Sciences, 2012 - Springer
The wavelet transform (WT) and the fractional Fourier transform (FRFT) are powerful tools for
many applications in the field of signal processing. However, the signal analysis capability of …
many applications in the field of signal processing. However, the signal analysis capability of …
Discrete fractional wavelet transform and its application to multiple encryption
The fractional wavelet transform is a useful mathematical transformation that generalizes the
most prominent tool in signal and image processing namely wavelet transform by rotation of …
most prominent tool in signal and image processing namely wavelet transform by rotation of …