Robust adaptive filtering algorithms based on (inverse)hyperbolic sine function. [PDF]
PLoS ONE, 2021 Recently, adaptive filtering algorithms were designed using hyperbolic functions, such as hyperbolic cosine and tangent function. However, most of those algorithms have few parameters that need to be set, and the adaptive estimation accuracy and ...
Sihai Guan +3 more
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Geometric convexity of the generalized sine and the generalized hyperbolic sine [PDF]
Journal of Approximation Theory, 2013 In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively.
Jiang, Wei-Dong, Qi, Feng
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The Natural Approaches of Shafer-Fink Inequality for Inverse Sine Function
Mathematics, 2022 In this paper, we obtain some new natural approaches of Shafer-Fink inequality for arc sine function and the square of arc sine function by using the power series expansions of certain functions, which generalize and strengthen those in the existing ...
Ling Zhu
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Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function
Mathematics, 2019 Let S s * be the class of normalized functions f defined in the open unit disk D = { z : | z | < 1 } such that the quantity z f ′ ( z ) f ( z ) lies in an eight-shaped region in the right-half plane and satisfying
Hai-Yan Zhang +2 more
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Cross-Correlation-Function-Based Multipath Mitigation Method for Sine-BOC Signals [PDF]
Radioengineering, 2012 Global Navigation Satellite Systems (GNSS) positioning accuracy indoor and urban canyons environments are greatly affected by multipath due to distortions in its autocorrelation function.
H. H. Chen, W. M. Jia, M. L. Yao
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Design of a New Chaotic System with Sine Function: Dynamic Analysis and Offset Boosting Control
Chaos Theory and Applications, 2023 A new chaotic system is presented in this research work.The proposed system has three nonlinear terms and one sine term which improves the complexity of the system.
Rameshbabu Ramar
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Using Sine Function-Based Nonlinear Feedback to Control Water Tank Level
Energies, 2021 This manuscript addresses the feasibility and significance of using a sine function to modify the system error of a normal linear feedback control to achieve more efficient capabilities in terms of energy-saving.
Jian Zhao +3 more
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Mathematics, 2023 In the paper, by virtue of a derivative formula for the ratio of two differentiable functions and with the help of a monotonicity rule, the authors expand a logarithmic expression involving the sine function into the Maclaurin power series in terms of ...
Xin-Le Liu, Hai-Xia Long, Feng Qi
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A New Sine Family of Generalized Distributions: Statistical Inference with Applications
Mathematical and Computational Applications, 2023 In this article, we extensively study a family of distributions using the trigonometric function. We add an extra parameter to the sine transformation family and name it the alpha-sine-G family of distributions.
SidAhmed Benchiha +7 more
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Construction of Optimized Dynamic S-Boxes Based on a Cubic Modular Transform and the Sine Function
IEEE Access, 2021 The protection of sensitive data from illegitimate users is one of the main challenges in today’s technological era. To handle prevailing security-related problems and challenges amicably, cryptographic techniques are applied for the fortification
Amjad Hussain Zahid +6 more
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