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On the Optimal Estimates and Comparison of Gegenbauer Expansion Coefficients [PDF]
SIAM Journal on Numerical Analysis, 2016 In this paper, we study optimal estimates and comparison of the coefficients in the Gegenbauer series expansion. We propose an alternative derivation of the contour integral representation of the Gegenbauer expansion coefficients which was recently derived by Cantero and Iserles [SIAM J. Numer. Anal., 50 (2012), pp. 307--327]. With this representation,
Haiyong Wang
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On Realized Gain-Optimal Feeding Coefficients of Antenna Arrays
, 2023 Funding Information: ACKNOWLEDGMENT This work was supported by the Business Finland through ENTRY100GHz CELTIC-NEXT project. Publisher Copyright: © 2023 European Association for Antennas and Propagation.The feeding coefficients maximizing the realized ...
Anu Lehtovuori +2 more
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Ergodic Optimal Quadratic Control for an Affine Equation With Stochastic and Stationary Coefficients [PDF]
Systems and Control Letters, 2009 We study ergodic quadratic optimal stochastic control problems for an affine state equation with state and control dependent noise and with stochastic coefficients. We assume stationarity of the coefficients and a finite cost condition.
Federica Masiero, Giuseppina Guatteri
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Generalization and Coefficients Optimization of the Newton Structure
2018 25th International Conference on Telecommunications (ICT), 2018The Newton structure is a very efficient implementation of a variable fractional delay filter performing Lagrange interpolation. In this paper, we study the generalization of this structure by developing the closed form expressions of the generalized structure.
Zeineddine, Ali +4 more
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Integer FFT with Optimized Coefficient Sets
2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07, 2007In this paper, the principle of finding the optimized coefficient set of integer fast Fourier transform (IntFFT) is introduced. IntFFT has been regarded as an approximation of original FFT since it utilizes lifting scheme (LS) and decomposes the complex multiplication of twiddle factor into three lifting steps.
Wei-Hsin Chang, Truong Q. Nguyen
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Adaptive Momentum Coefficient for Neural Network Optimization
2021We propose a novel and efficient momentum-based first-order algorithm for optimizing neural networks which uses an adaptive coefficient for the momentum term. Our algorithm, called Adaptive Momentum Coefficient (AMoC), utilizes the inner product of the gradient and the previous update to the parameters, to effectively control the amount of weight put ...
Zana Rashidi +3 more
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Optimal Coefficient Quantization in Optimal-NTF Δ!Σ Modulators.
IEEE Trans. Circuits Syst. II Express Briefs, 2018Strategies for the adaptation of Delta Sigma modulators (Delta Sigma Ms) to the embedding environment with respect to the ability of the latter to remove quantization noise have recently been introduced. They rely on formal optimization techniques to deliver finely tuned values for the coefficients of the Delta Sigma M internal filters.
Sergio Callegari +2 more
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Improvement of MEI coefficients by optimization
Proceedings of 1997 Asia-Pacific Microwave Conference, 2002In the measured equation of invariance (MEI) method, the accuracy of the MEI coefficients directly affects the solution. Most of the effort is focused on finding the more accurate MEI coefficients. The accuracy of the MEI coefficients is improved by optimization in this paper.
Y.M. Song, Y.W. Liu, K.K. Mei
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The Coefficients of Optimal Quadrature Formulas
20062 (R) are studied by means of a variational method. Here w(x) is a weight function, χΩ(x) is the characteristic function of the interval Ω, and c(β) are the coefficients of the quadrature formula. The results generalize some results by A. Sard, L. F. Meyers, I. J. Schoenberg, S. D. Silliman (1-4), and others derived by the method of splines.
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