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  • Article
  • Open Access
7 Citations
4,377 Views
18 Pages

Compression of Hyperspectral Scenes through Integer-to-Integer Spectral Graph Transforms

  • Dion Eustathios Olivier Tzamarias,
  • Kevin Chow,
  • Ian Blanes and
  • Joan Serra-Sagristà

30 September 2019

Hyperspectral images are depictions of scenes represented across many bands of the electromagnetic spectrum. The large size of these images as well as their unique structure requires the need for specialized data compression algorithms. The redundanc...

(This article belongs to the Special Issue Remote Sensing Data Compression)
  • Article
  • Open Access
19 Citations
2,192 Views
28 Pages

21 August 2023

The discrete Shmaliy moment transform (DST) is a type of discrete orthogonal moment transform that is widely used in signal and image processing. However, DST is not suitable for lossless image applications due to its non-integer reversible nature. T...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1,860 Views
13 Pages

26 February 2022

This note tackles the equivalence problem between the fractional and integer order diffusion models. Unlike existing approaches, the existence of a unique integral transformation mapping the solution of the integer order model to a solution of the fr...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
15 Citations
3,546 Views
17 Pages

An Improved Integer Transform Combining with an Irregular Block Partition

  • Shaowei Weng,
  • Yi Chen,
  • Wien Hong,
  • Jeng-Shyang Pan,
  • Chin-Chen Chang and
  • Yijun Liu

4 January 2019

After conducting deep research on all existing reversible data hiding (RDH) methods based on Alattar’s integer transform, we discover that the frequently-used method in obtaining the difference value list of an image block may lead to high embe...

(This article belongs to the Special Issue Emerging Data Hiding Systems in Image Communications)
  • Article
  • Open Access
17 Citations
3,155 Views
16 Pages

Framework for Video Steganography Using Integer Wavelet Transform and JPEG Compression

  • Urmila Pilania,
  • Rohit Tanwar,
  • Mazdak Zamani and
  • Azizah Abdul Manaf

25 August 2022

In today’s world of computers everyone is communicating their personal information through the web. So, the security of personal information is the main concern from the research point of view. Steganography can be used for the security purpose...

(This article belongs to the Special Issue Distributed Systems and Artificial Intelligence)
  • Article
  • Open Access
11 Citations
2,260 Views
24 Pages

A Novel 3D Reversible Data Hiding Scheme Based on Integer–Reversible Krawtchouk Transform for IoMT

  • Mohamed Yamni,
  • Achraf Daoui,
  • Paweł Pławiak,
  • Haokun Mao,
  • Osama Alfarraj and
  • Ahmed A. Abd El-Latif

15 September 2023

To avoid rounding errors associated with the limited representation of significant digits when applying the floating-point Krawtchouk transform in image processing, we present an integer and reversible version of the Krawtchouk transform (IRKT). This...

(This article belongs to the Section Sensor Networks)
  • Article
  • Open Access
27 Citations
797 Views
26 Pages

Lossless Frequency-Domain Image Encryption via 3D Exponential Hyper-Chaotic Map and Integer Lifting Wavelet Transform

  • Xiangqun Shi,
  • Yifan Su,
  • Xiaole Yang,
  • Wei Feng,
  • Xian Zhang,
  • Zhenhua Chen,
  • Guangjun Wen and
  • Heping Wen

28 April 2026

To resolve the inherent conflict between high robustness and strict reversibility in frequency-domain image encryption, as well as to eliminate data expansion caused by floating-point errors, this paper presents a novel lossless frequency-domain imag...

(This article belongs to the Special Issue Nonlinear Dynamical System and Its Applications)
  • Article
  • Open Access
11 Citations
4,221 Views
14 Pages

30 April 2019

Periodic preventive maintenance of generators is required to maintain the reliable operation of a power system. However, generators under maintenance cannot supply electrical energy to the power system; therefore, it is important to determine an opti...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
2 Citations
2,542 Views
17 Pages

3 June 2021

Studies on the energy–water–CO2 synergetic relationship is an effective way to help achieve the peak CO2 emission target and carbon neutral goal in global countries. One of the most valid way is to adjust through the electric power structure transfor...

  • Article
  • Open Access
5 Citations
2,373 Views
17 Pages

8 June 2023

In this paper, we propose a new hardware algorithm for an integer based discrete cosine transform (IntDCT) that was designed to allow an efficient VLSI implementation of the discrete cosine transform using the systolic array architectural paradigm. T...

(This article belongs to the Special Issue Advance in Digital Signal Processing and Its Implementation)
  • Article
  • Open Access
19 Citations
3,089 Views
15 Pages

This paper introduces a new fast image encryption scheme based on a chaotic system and cyclic shift in the integer wavelet domain. In order to increase the effectiveness and security of encryption, we propose a new diffusion scheme by using bidirecti...

(This article belongs to the Special Issue Recent Advances in Fractional Fourier Transforms and Applications)
  • Article
  • Open Access
2,024 Views
15 Pages

8 January 2025

Correctly fixing the integer ambiguity of GNSS is the key to realizing the application of GNSS high-precision positioning. When solving the float solution of ambiguity based on the double-difference model epoch by epoch, the common method for resolvi...

(This article belongs to the Special Issue Advances in GNSS Signal Processing and Navigation)
  • Article
  • Open Access
7 Citations
4,005 Views
11 Pages

Area-Time Efficient Two-Dimensional Reconfigurable Integer DCT Architecture for HEVC

  • Pramod Kumar Meher,
  • Siew-Kei Lam,
  • Thambipillai Srikanthan,
  • Dong Hwan Kim and
  • Sang Yoon Park

In this paper, we present area-time efficient reconfigurable architectures for the implementation of the integer discrete cosine transform (DCT), which supports all the transform lengths to be used in High Efficiency Video Coding (HEVC). We propose t...

(This article belongs to the Special Issue System-on-Chip (SoC) Design and Its Applications)
  • Article
  • Open Access
7 Citations
1,860 Views
17 Pages

Approximate Analytic Frequency of Strong Nonlinear Oscillator

  • Livija Cveticanin,
  • Miodrag Zukovic and
  • Dragan Cveticanin

28 September 2024

In this paper, a new analytic expression for the frequency of vibration of a strong nonlinear polynomial-type oscillator is introduced. The method for frequency calculation is based on the transformation of the nonlinear oscillators into linear ones...

  • Article
  • Open Access
1,824 Views
26 Pages

The literature indicates that the qubit requirements for factoring RSA-2048 remain on the order of 1 million, under commonly assumed architectures and error-correction models, leaving a substantial gap between current resource estimates and near-term...

(This article belongs to the Section Cryptography and Cryptology)
  • Article
  • Open Access
1 Citations
2,573 Views
14 Pages

A Non-Integer Ratio Impedance Conversion Broadband RF Power Amplifier

  • Yuekuan Yang,
  • Jingchang Nan,
  • Mifang Cong,
  • Jing Liu,
  • Tao Dai and
  • Yuchen Cui

This paper uses the non-integer ratio coaxial line impedance transform matching method to design a wideband RF power amplifier. The motivation for the research stems from the limitations of the fixed conversion ratio of traditional impedance converte...

  • Article
  • Open Access
2 Citations
1,178 Views
18 Pages

Reversible Watermarking for Electrocardiogram Protection

  • Pavel Andreev,
  • Anna Denisova and
  • Victor Fedoseev

30 March 2025

The electrocardiogram (ECG) is one of the widespread diagnostic methods used in telemedicine. However, in the telemedicine systems, the data transfer process to the end user may suffer from security risks. Reversible watermarking can preserve the sec...

(This article belongs to the Special Issue Advances in ECG/EEG Monitoring)
  • Article
  • Open Access
7 Citations
2,071 Views
18 Pages

28 March 2025

Cold-chain logistics, characterized by high energy consumption and significant emissions, pose a critical challenge for the green transformation of global transportation. Electric cold-chain vehicles have emerged as a promising solution to reduce car...

(This article belongs to the Special Issue Electric Vehicles for Smart Cities: Trends, Challenges and Opportunities)
  • Article
  • Open Access
349 Views
19 Pages

23 June 2026

Against the backdrop of the global energy transition towards clean, low-carbon sources and China’s “carbon peak, carbon neutrality” strategic goals, distributed photovoltaic (PV) power generation is being integrated into distributio...

  • Article
  • Open Access
78 Citations
5,782 Views
28 Pages

17 February 2022

A hybrid domain image encryption algorithm is developed by integrating with improved Henon map, integer wavelet transform (IWT), bit-plane decomposition, and deoxyribonucleic acid (DNA) sequence operations. First, we improve the classical two-dimensi...

  • Article
  • Open Access
27 Citations
4,706 Views
22 Pages

Joint Image Compression and Encryption Using IWT with SPIHT, Kd-Tree and Chaotic Maps

  • Nasrullah,
  • Jun Sang,
  • Muhammad Azeem Akbar,
  • Bin Cai,
  • Hong Xiang and
  • Haibo Hu

17 October 2018

Confidentiality and efficient bandwidth utilization require a combination of compression and encryption of digital images. In this paper, a new method for joint image compression and encryption based on set partitioning in hierarchical trees (SPIHT)...

  • Article
  • Open Access
6 Citations
2,327 Views
27 Pages

12 October 2023

The cross-line operation mode, based on interoperability technology, is becoming increasingly common in urban rail transits (URTs). Compared to trains running on a single line, cross-line trains can greatly facilitate transfer passengers. Taking the...

(This article belongs to the Section Transportation and Future Mobility)
  • Article
  • Open Access
425 Views
44 Pages

21 June 2026

In the fabric warehouse, order picking operations face high labor intensity and rising operational costs, requiring urgent optimization. This study investigates the order scheduling and task assignment problem within an elastic staffing framework, wh...

  • Article
  • Open Access
7 Citations
2,182 Views
20 Pages

25 March 2024

This paper aims to explore an alternative reversible digital watermarking solution to guarantee the integrity of and detect tampering with data of probative importance. Since the payload for verification is embedded in the contents, algorithms for re...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
4 Citations
2,099 Views
33 Pages

15 August 2024

Data-driven models used for predictive classification and regression tasks are commonly computed using floating-point arithmetic and powerful computers. We address constraints in distributed sensor networks like the IoT, edge, and material-integrated...

(This article belongs to the Section Combinatorial Optimization, Graph, and Network Algorithms)
  • Article
  • Open Access
6 Citations
3,567 Views
26 Pages

24 February 2020

The unbalanced distribution of resource and consuming centers in China has prompted the AC/DC hybrid transmission technology. The maintenance scheduling of an AC/DC hybrid transmission network is the key technology to ensure its safety and reliabilit...

  • Article
  • Open Access
71 Citations
4,298 Views
23 Pages

Dual-Domain Image Encryption in Unsecure Medium—A Secure Communication Perspective

  • Hemalatha Mahalingam,
  • Thanikaiselvan Veeramalai,
  • Anirudh Rajiv Menon,
  • Subashanthini S. and
  • Rengarajan Amirtharajan

15 January 2023

With the growing demand for digitalization, multimedia data transmission through wireless networks has become more prominent. These multimedia data include text, images, audio, and video. Therefore, a secure method is needed to modify them so that su...

(This article belongs to the Special Issue Recent Advances in Security, Privacy, and Applied Cryptography)
  • Article
  • Open Access
17 Citations
3,391 Views
23 Pages

Image Encryption Algorithm Based on a Novel Wide-Range Discrete Hyperchaotic Map

  • Huiyan Zhong,
  • Guodong Li,
  • Xiangliang Xu and
  • Xiaoming Song

25 July 2022

Existing hyperchaotic systems suffer from a small parameter range and small key space. Therefore, we propose herein a novel wide-range discrete hyperchaotic map(3D-SCC) based on the mathematical model of the Sine map. Dynamic numerical analysis shows...

(This article belongs to the Special Issue Chaos-Based Secure Communication and Cryptography)
  • Article
  • Open Access
2 Citations
1,139 Views
17 Pages

Accurate and efficient frequency estimation is essential in many scientific fields and has led to the development of various algorithms. Commonly used methods involve applying the Discrete Fourier Transform followed by spectral interpolation. This ap...

  • Article
  • Open Access
505 Views
14 Pages

15 April 2026

Theta function identities play an important role in the theory of modular forms and partitions, with Ramanujan’s q-series providing a fundamental analytical framework. This work derives several new identities of theta functions at level 16 by e...

(This article belongs to the Special Issue Advances in Combinatorics, Tropical Geometry and Geometry of Matroids)
  • Article
  • Open Access
1 Citations
347 Views
21 Pages

5 June 2026

This paper studies a terminating (“modified”) Appell function F1∗(α,β,β′,β+β′;x,y), with α∈Z≥1 and β,β′∈Z≤−1, together with the associated terminatin...

(This article belongs to the Special Issue Combinatorics, Riordan Matrices and Umbral Calculus—in Memory of Professor Emanuele Munarini)
  • Article
  • Open Access
10 Citations
3,365 Views
11 Pages

18 May 2022

Aiming at the poor precision problem in phase difference measurements with unknown frequencies in engineering practice, a new phase difference measurement method is proposed for Coriolis mass flowmeter based on correlation theories. Firstly, the sign...

(This article belongs to the Special Issue New Advancement in Heat and Mass Transfer: Fundamentals and Applications)
  • Article
  • Open Access
2 Citations
1,274 Views
20 Pages

Fractional Order Curves

  • Marius-F. Danca and
  • Jagan Mohan Jonnalagadda

18 March 2025

This paper continues the subject of symmetry breaking of fractional-order maps, previously addressed by one of the authors. Several known planar classes of curves of integer order are considered and transformed into their fractional order. Several kn...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
4 Citations
3,323 Views
16 Pages

10 February 2021

Existing graph filters, polynomial or rational, are mainly of integer order forms. However, there are some frequency responses which are not easily achieved by integer order approximation. It will substantially increase the flexibility of the filters...

(This article belongs to the Section Circuit and Signal Processing)
  • Article
  • Open Access
1 Citations
815 Views
34 Pages

11 February 2026

This paper develops a generalized Laplace transform framework on weighted function spaces Cδψ,γn[a,b], establishing a symmetry between integer-order δψ operators and fractional ψ-Hilfer derivatives at the level of transf...

(This article belongs to the Special Issue Symmetries and Fractional Differential Equations: Theory and Applications)
  • Article
  • Open Access
8 Citations
2,108 Views
16 Pages

25 February 2022

In this paper, we investigate and develop a new filled function method for solving integer programming problems with constraints. By adopting the appropriate equivalent transformation method, these problems are transformed into a class of box-constra...

(This article belongs to the Special Issue Fixed Point, Optimization, and Applications II)
  • Article
  • Open Access
4 Citations
3,170 Views
17 Pages

Efficient Integer Quantization for Compressed DETR Models

  • Peng Liu,
  • Congduan Li,
  • Nanfeng Zhang,
  • Jingfeng Yang and
  • Li Wang

13 April 2025

The Transformer-based target detection model, DETR, has powerful feature extraction and recognition capabilities, but its high computational and storage requirements limit its deployment on resource-constrained devices. To solve this problem, we firs...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
2 Citations
5,487 Views
22 Pages

11 November 2015

In this article, we investigate the Minimum Cardinality Segmentation Problem (MCSP), an NP-hard combinatorial optimization problem arising in intensity-modulated radiation therapy. The problem consists in decomposing a given nonnegative integer matri...

(This article belongs to the Special Issue Algorithmic Themes in Bioinformatics)
  • Article
  • Open Access
4 Citations
5,196 Views
31 Pages

On Some Formulas for Kaprekar Constants

  • Atsushi Yamagami and
  • Yūki Matsui

5 July 2019

Let b ≥ 2 and n ≥ 2 be integers. For a b-adic n-digit integer x, let A (resp. B) be the b-adic n-digit integer obtained by rearranging the numbers of all digits of x in descending (resp. ascending) order. Then, we define the Kap...

(This article belongs to the Special Issue Number Theory and Symmetry)
  • Article
  • Open Access
31 Citations
6,376 Views
15 Pages

25 December 2021

In this paper, we first discuss some important properties of fractional q-calculus. Then, based on these properties and the q-Laplace transform, we translate a class of fractional q-differential equations into the equivalent q-differential equations...

(This article belongs to the Special Issue Q-differential/Difference Equations and Related Applications)
  • Feature Paper
  • Article
  • Open Access
1,181 Views
24 Pages

Promotion of Lattice Paths by Riordan Arrays

  • Aoife Hennessy,
  • Kieran Murphy,
  • Narciso Gonzaga and
  • Paul Barry

11 September 2025

This paper investigates the use of Riordan arrays in the enumeration and transformation of lattice paths through a combinatorial framework of promotion. We demonstrate how Dyck paths can be promoted to generalised Motzkin and Schröder paths via...

(This article belongs to the Special Issue Combinatorics, Riordan Matrices and Umbral Calculus—in Memory of Professor Emanuele Munarini)
  • Article
  • Open Access
11 Citations
4,345 Views
14 Pages

14 December 2022

It is known that, from a modeling point of view, fractional dynamic equations are more suitable compared to integer derivative models. In fact, a fractional dynamic equation is referred to as an equation with memory. To demonstrate that the fractiona...

(This article belongs to the Special Issue Recent Advances in Fractional Differential Equations and Inclusions)
  • Article
  • Open Access
39 Citations
2,775 Views
22 Pages

This study aims to identify soliton structures as an inherent fractional discrete nonlinear electrical transmission lattice. Here, the analysis is founded on the idea that the electrical properties of a capacitor typically contain a non-integer-order...

(This article belongs to the Special Issue Recent Advances in Computational Physics with Fractional Application)
  • Article
  • Open Access
1,519 Views
13 Pages

Online Distribution Network Scheduling via Provably Robust Learning Approach

  • Naixiao Wang,
  • Xinlei Cai,
  • Linwei Sang,
  • Tingxiang Zhang,
  • Zhongkai Yi and
  • Ying Xu

12 March 2024

Distribution network scheduling (DNS) is the basis for distribution network management, which is computed in a periodical way via solving the formulated mixed-integer programming (MIP). To achieve the online scheduling, a provably robust learn-to-opt...

(This article belongs to the Special Issue Electricity Market Modeling Trends in Power Systems)
  • Article
  • Open Access
3 Citations
1,750 Views
28 Pages

14 July 2025

This paper proposes a novel integer-mixed probabilistic optimal power flow (IM-POPF) strategy for frequency regulation in islanded microgrids under uncertain operating conditions. Existing load-shedding approaches face critical limitations: continuou...

(This article belongs to the Section F: Engineering and Materials)
  • Article
  • Open Access
5 Citations
2,238 Views
19 Pages

18 September 2023

Recently, several arbitrary-scale models have been proposed for single-image super-resolution. Furthermore, the importance of arbitrary-scale single image super-resolution is emphasized for applications such as satellite image processing, HR display,...

(This article belongs to the Special Issue Mathematical Optimization in Pattern Recognition, Machine Learning and Data Mining)
  • Article
  • Open Access
8 Citations
3,246 Views
22 Pages

A New Operational Matrices-Based Spectral Method for Multi-Order Fractional Problems

  • M. Hamid,
  • Oi Mean Foong,
  • Muhammad Usman,
  • Ilyas Khan and
  • Wei Wang

8 September 2020

The operational matrices-based computational algorithms are the promising tools to tackle the problems of non-integer derivatives and gained a substantial devotion among the scientific community. Here, an accurate and efficient computational scheme b...

  • Article
  • Open Access
9 Citations
2,192 Views
15 Pages

On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation

  • Federico Martin Serra,
  • Oscar Danilo Montoya,
  • Lázaro Alvarado-Barrios,
  • Cesar Álvarez-Arroyo and
  • Harold R. Chamorro

24 September 2021

This paper deals with the problem of the optimal selection and location of batteries in DC distribution grids by proposing a new mixed-integer convex model. The exact mixed-integer nonlinear model is transformed into a mixed-integer quadratic convex...

(This article belongs to the Section Power Electronics)
  • Article
  • Open Access
8 Citations
5,009 Views
21 Pages

13 December 2016

A method for the solution of linear differential equations (DE) of non-integer order and of partial differential equations (PDE) by means of inverse differential operators is proposed. The solutions of non-integer order ordinary differential equation...

(This article belongs to the Special Issue Special Functions: Fractional Calculus and the Pathway for Entropy Dedicated to Professor Dr. A.M. Mathai on the occasion of his 80th Birthday)
  • Article
  • Open Access
2 Citations
2,266 Views
22 Pages

15 September 2023

Accurate calculation of the electromagnetic force distribution of transformer windings under different loads and fault conditions is of great significance for transformer maintenance, condition evaluation and life prediction. Due to the influence of...

(This article belongs to the Special Issue Advanced Technologies in Electrical and Electronic Engineering, 3rd Edition)

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