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Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonical Research Articles

Xiaoxiao HU, Dong CHENG, Kit Ian KOU,huxiaoxiao3650@163.com

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 3,   Pages 463-478 doi: 10.1631/FITEE.2000499

Abstract: different types of sampling formulas of quaternionic functions, which are bandlimited under various quaternionSecond, using the relationship between the two-sided quaternion Fourier transform and the linear canonical

Keywords： Quaternion Fourier transforms     Quaternion linear canonical transforms     Sampling theorem     Quaternion partialand total Hilbert transforms     Generalized quaternion partial and total Hilbert transforms     Truncation    

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Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued Research Articles

K. UDHAYAKUMAR, R. RAKKIYAPPAN, Jin-de CAO, Xue-gang TAN

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 2,   Pages 234-246 doi: 10.1631/FITEE.1900409

Abstract: study, we investigate the problem of multiple Mittag-Leffler stability analysis for fractional-order quaternion-valued

Keywords： Mittag-Leffler stability     Fractional-order     Quaternion-valued neural networks     Impulse    

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Properties of a general quaternion-valued gradient operator and its applications to signal processing

Meng-di Jiang, Yi Li, Wei Liu,w.liu@sheffield.ac.uk

Frontiers of Information Technology & Electronic Engineering 2016, Volume 17, Issue 2,   Pages 83-95 doi: 10.1631/FITEE.1500334

Abstract: The gradients of a -valued function are often required for ic algorithms. The HR provides a viable framework and has found a number of applications. However, the applications so far have been limited to mainly real-valued functions and linear -valued functions. To generalize the operator to nonlinear functions, we define a restricted version of the HR operator, which comes in two versions, the left and the right ones. We then present a detailed analysis of the properties of the operators, including several different product rules and chain rules. Using the new rules, we derive explicit expressions for the derivatives of a class of regular nonlinear -valued functions, and prove that the restricted HR gradients are consistent with the gradients in the real domain. As an application, the derivation of the least mean square algorithm and a nonlinear adaptive algorithm is provided. Simulation results based on vector sensor arrays are presented as an example to demonstrate the effectiveness of the -valued signal model and the derived algorithm.

Keywords： Quaternion     Gradient operator     Signal processing     Least mean square (LMS) algorithm     Nonlinear adaptive    

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Development of a novel hand−eye calibration for intuitive control of minimally invasive surgical robot

Frontiers of Mechanical Engineering 2022, Volume 17, Issue 3, doi: 10.1007/s11465-022-0698-y

Abstract: We proposed a novel two-step modified dual quaternion for hand−eye calibration in this study.The dual quaternion was exploited to solve the hand−eye calibration simultaneously and powered by an

Keywords： minimally invasive surgery     hand−eye calibration     intuitive control     surgical robot     dual quaternion    

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A novel hybrid cryptosystem based on DQFrFT watermarking and 3D-CLM encryption for healthcare services Research Article

Fatma KHALLAF, Walid EL-SHAFAI, El-Sayed M. EL-RABAIE, Naglaa F. SOLIMAN, Fathi E. Abd EL-SAMIE,fatma.mohammed333@gmail.com,eng.waled.elshafai@gmail.com,elsayedelrabaie@gmail.com,nfsoliman@pnu.edu.sa,fathi_sayed@yahoo.com

Frontiers of Information Technology & Electronic Engineering 2023, Volume 24, Issue 7,   Pages 1045-1061 doi: 10.1631/FITEE.2200372

Abstract: algebra has been used to apply the fractional Fourier transform (FrFT) to color images in a comprehensive approach. However, the discrete fractional random transform (DFRNT) with adequate basic randomness remains to be examined. This paper presents a novel multistage privacy system for s based on discrete fractional Fourier transform (DQFrFT) watermarking and . First, we describe DFRNT (QDFRNT), which generalizes DFRNT to handle signals effectively, and then use QDFRNT to perform . To efficiently evaluate QDFRNT, this study derives the relationship between the QDFRNT of a signal and the four components of the DFRNT signal. Moreover, it uses the human vision system’s (HVS) masking qualities of edge, texture, and color tone immediately from the color host image to adaptively modify the watermark strength for each block in the using the QDFRNT-based and support vector machine (SVM) techniques. The limitations of watermark embedding are also explained to conserve watermarking energy. Second, 3D-CLM is employed to improve the system’s security and efficiency, allowing it to be used as a multistage privacy system. The proposed security system is effective against many types of channel noise attacks, according to simulation results.

Keywords： Color medical image     Quaternion     Adaptive watermarking     Encryption     Fractional transform     Three-dimensional    

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Title Author Date Type Operation

Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonical

Xiaoxiao HU, Dong CHENG, Kit Ian KOU,huxiaoxiao3650@163.com

Journal Article

Mittag-Leffler stability analysis ofmultiple equilibrium points in impulsive fractional-order quaternion-valued

K. UDHAYAKUMAR, R. RAKKIYAPPAN, Jin-de CAO, Xue-gang TAN

Journal Article

Properties of a general quaternion-valued gradient operator and its applications to signal processing

Meng-di Jiang, Yi Li, Wei Liu,w.liu@sheffield.ac.uk

Journal Article

Development of a novel hand−eye calibration for intuitive control of minimally invasive surgical robot

Journal Article

A novel hybrid cryptosystem based on DQFrFT watermarking and 3D-CLM encryption for healthcare services

Fatma KHALLAF, Walid EL-SHAFAI, El-Sayed M. EL-RABAIE, Naglaa F. SOLIMAN, Fathi E. Abd EL-SAMIE,fatma.mohammed333@gmail.com,eng.waled.elshafai@gmail.com,elsayedelrabaie@gmail.com,nfsoliman@pnu.edu.sa,fathi_sayed@yahoo.com

Journal Article