Article
Computer Science, Artificial Intelligence
Madad Khan, Inamullah Khan, Aliya Fahmi, Saima Anis, Sohail Iqbal
Summary: In this paper, we introduced new operations and formulas of set theory for complex fuzzy sets (CFSs) and presented their basic results and examples. Additionally, we proposed an algorithm to identify a reference signal out of a large number of signals, enabling faster measurement of signal values using CFSs.
Article
Optics
Wen Qi Zhang, Terence H. Chan, Shahraam Afshar
Summary: Nonlinear Fourier transform (NFT) has the potential to overcome capacity limits in fiber optic communication systems, but faces speed and accuracy issues. Machine learning using convolutional neural networks shows promise in NFT-based applications, potentially replacing traditional calculations for decoding information.
Article
Multidisciplinary Sciences
Wen Qi Zhang, Terence H. Chan, Shahraam Afshar Vahid
Summary: This article proposes two conceptual convolutional neural network (CNN) schemes for decoding nonlinear frequency division multiplexing (NFDM) signals directly, taking hardware implementation into consideration. A serial network scheme for small user applications and a parallel network scheme for places like data centers are designed. The numerical demonstrations show that both network schemes achieve more than 99.9% accuracy, with the serial network occupying 0.5 MB of memory space and the parallel network allowing parallel computing with 128 MB of memory.
SCIENTIFIC REPORTS
(2022)
Article
Engineering, Electrical & Electronic
Howard W. Levinson, Vadim A. Markel
Summary: This study investigates the reconstruction of a binary vector of known length N from a limited set of its discrete Fourier transform (DFT) coefficients. It is proven that a binary vector can be uniquely defined by its first two DFT coefficients if N is prime, and additional coefficients are required when N has two prime factors. In the presence of noise, more DFT coefficients may be needed for a stable and unique solution.
IEEE TRANSACTIONS ON SIGNAL PROCESSING
(2021)
Article
Mathematics, Applied
Giuseppe Patane
Summary: The Laplace transform is an important mathematical tool for analyzing 1D/2D signals and solving PDE problems, but its definition and computation on arbitrary data are still open research problems. We introduce the Laplace transform on arbitrary domains and focus on the spectral Laplace transform, which is defined by applying a 1D filter to the Laplacian spectrum of the input domain. The spectral Laplace transform satisfies standard properties of the 1D and 2D transforms, and can be applied to signals defined on different discrete data.
JOURNAL OF SCIENTIFIC COMPUTING
(2023)
Article
Chemistry, Analytical
Harish C. Kumawat, A. Arockia Bazil Raj
Summary: This study presents an innovative approach to accurately image the micro-Doppler signatures of multiple low radar cross-section aerial targets, using the smooth pseudo-Wigner-Ville distribution and adaptive filter bank. Experimental results validate the effectiveness of this approach, with outdoor experiments conducted in different scenarios. The research findings provide important insights for the detection and identification of low RCS targets.
Article
Computer Science, Interdisciplinary Applications
Roohollah M. Pirooz, Peyman Homami
Summary: This paper presents a new method for investigating the frequency content of earthquake records, which is more accurate than the traditional Fourier analysis and easier to apply in structural design and seismological studies. The efficiency of this new approach is demonstrated through analysis of various single and multiple degree of freedom systems under different earthquake components.
COMPUTERS & STRUCTURES
(2021)
Article
Chemistry, Multidisciplinary
Lukasz Blaszczyk, Kajetana Snopek
Summary: This paper introduces the definitions of the octonion cross Wigner distribution and the octonion ambiguity function, and investigates their basic properties. It discusses the specific forms of the modulation property, the validity of Moyal's formula, and the uncertainty principle, accompanied by theorems and examples. The paper provides examples of 3-D separable Gaussian and Gabor signals, and proposes the application of the octonion cross Wigner distribution for the analysis of multidimensional analytic signals.
APPLIED SCIENCES-BASEL
(2022)
Article
Engineering, Electrical & Electronic
Jan-Philipp Kitzig, Gerd Bumiller
Summary: Choosing a window function for digital signal processing involves a tradeoff between undesired effects and important benefits, with the new sine ramp window class offering better frequency resolution decay and spectral leakage attenuation. These windows are beneficial for harmonic analysis of power systems in transient conditions.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2021)
Article
Chemistry, Physical
Ronald T. Leon, Peter C. Sherrell, Andris Sutka, Amanda V. Ellis
Summary: Piezoelectric (PE) devices, including PE nanogenerators (PENGs) and sensors, have been extensively studied for applications that require the transduction of mechanical and electrical energy. However, reports detailing the electrical characterization of such materials have given insufficient attention to the influences of static energy (i.e., triboelectricity (TE)) in the electrical outputs reported. In this work, the authors propose a method using fast Fourier transform (FFT) to decouple the energy contributions of PE and TE nanogenerators, enabling the accurate development of PE devices with precise electrical outputs in the future.
Article
Chemistry, Physical
Libor Topolar, Dalibor Kocab, Lubos Pazdera, Tomas Vymazal
Summary: This study conducted a complex analysis of acoustic emission signals recorded during freeze-thaw cycles in air-entrained concrete specimens, aiming to assess concrete resistance to freezing and thawing. The results showed that the acoustic emission method was more sensitive to changes in the internal structure of concrete, such as minor cracks, compared to commonly used construction testing methods. Analysis of the signals using fast Fourier transform revealed a significant shift of dominant frequency towards lower values during freeze-thaw cycling in concrete.
Article
Engineering, Electrical & Electronic
M. H. Annaby, I. A. Al-Abdi, M. S. Abou-Dina, A. F. Ghaleb
Summary: This paper investigates the problem of sampling reconstruction of band-limited signals in the linear canonical transform domain. Two different regularization kernels are incorporated to enhance the convergence rate of the reconstruction.
Article
Chemistry, Multidisciplinary
Bilal Asad, Toomas Vaimann, Anouar Belahcen, Ants Kallaste, Anton Rassolkin, Payam Shams Ghafarokhi, Karolina Kudelina
Summary: This paper presents modeling and diagnostics of broken rotor bar fault by analyzing motor current with time-frequency analysis during extended startup transient time. The study utilizes nonstationary signal to segregate rotor faults and spatial harmonics, along with proposing an algorithm to improve spectrum legibility. Results show promising outcomes by efficient utilization of attenuation filter and consideration of maximum power spectral density area, based on machine's analytical model and measurements from laboratory setup.
APPLIED SCIENCES-BASEL
(2021)
Article
Engineering, Electrical & Electronic
Xiaoxiao Hu, Kit Ian Kou
Summary: This paper proposes sampling theorems for certain types of non-bandlimited quaternionic signals. It shows that the non-bandlimited quaternionic signal can be reconstructed from its samples and the samples of its generalized Hilbert transforms associated with quaternion Fourier and linear canonical transform. Simulations are provided to demonstrate the application of the sampling formulas.
SIGNAL IMAGE AND VIDEO PROCESSING
(2022)
Review
Biology
Rebeca de la Fuente, Wladimiro Diaz-Villanueva, Vicente Arnau, Andres Moya
Summary: Genomic signature refers to characteristics associated with DNA sequences, which can be used to analyze genotype-phenotype patterns, identify gene expression profiles, or study statistical properties of DNA sequences. This review performs a bibliometric analysis to identify the main genomic signatures and categorizes them according to their conceptual meanings. It highlights the importance of genomic signatures in evolutionary biology.
