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Variable Step Size Multistep Methods for Parabolic Problems

SIAM Journal on Numerical Analysis, 1982
We study the error due to the discretization in time of a parabolic problem by variable step size multistep methods. It is proved that the multistep methods remain stable when the rate of step changing is not too great. Error estimates are obtained for A-stable and strongly $A(\Theta )$-stable methods $(0 \leqq \Theta \leqq {\pi / 2})$.
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A Variable-Step-Size Robust Delta Modulator

IEEE Transactions on Communication Technology, 1971
An optimum adaptive delta modulator-demodulator configuration is derived. This device utilizes two past samples to obtain a step size which minimizes the mean square error for a Markov Gaussian source. The optimum system is compared using computer simulations with the linear delta modulator and an enhanced Abate delta modulator.
null Ching-Long Song   +2 more
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An Improved Variable Step-Size LMS Algorithm

2011 7th International Conference on Wireless Communications, Networking and Mobile Computing, 2011
To improve the performance of LMS adaptive algorithm, in this paper a new variable step-size LMS algorithm is proposed based on the analysis of some variable step-size algorithms. Through establishing a new nonlinear relationship between the step size and the error, the algorithm eliminates the irrelevant noise and improves the convergence rate to ...
Ting-Ting Li, Min Shi, Qing-Ming Yi
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The Selection of the Step-Size Factor in the Variable Step-Size CMA

2011
This paper analyses the selection of the step-size factor in a new variable step-size constant modulus algorithm (CMA) based on mean square error (MSE) and determines the value range of the step-size factor by computer simulation, which establishes the solid foundation to the convergence superiority of the new algorithm by computer simulation.
Jia Liu, Baofeng Zhao
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Variable step-size blind adaptive equalization algorithms

1991 IEEE International Symposium on Circuits and Systems (ISCAS), 1991
The authors present a variable step-size scheme that speeds up the convergence process of a general class of stochastic-gradient-based blind equalization algorithms. Four stochastic-gradient-type algorithms that are available for blind adaptive equalization are presented, and the variable step-size scheme for these algorithms is introduced.
V. Weerackody, S.A. Kassam
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Blind Adaptive Equalization with Variable Step Size

2006 ITI 4th International Conference on Information & Communications Technology, 2006
Summary form only given. This paper presents a Variable Step Size (VSS) technique that is integrated with a Stop-And-Go (SAG) approach for blind adaptive equalization of Quadrature Amplitude Modulation (QAM) signals. The proposed technique is applied to the Constant-Modulus Algorithm (CMA) and the Multi-Modulus Algorithm (MMA).
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Variable Step Size Discretisation of Autonomous Attractors

2017
Discretising autonomous ODEs with variable step size results in discrete nonautonomous semi-dynamical systems. Numerical omega limit sets for such dynamical systems are constructed and shown to converge to the attractor for the ODEs upper semi continuously.
Xiaoying Han, Peter Kloeden
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New variable step size affine projection algorithms

2012 9th International Conference on Communications (COMM), 2012
In this paper, we propose new variable step size affine projection algorithms whose step sizes are adjusted according to the square of a time-averaging estimate of the autocorrelation of a priori and a posteriori errors. The proposed algorithms have fast convergence, robustness against near-end signal variations (including double-talk) and do not ...
Felix Albu   +2 more
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An improved variable step size LMS algorithm

Proceedings of 2013 2nd International Conference on Measurement, Information and Control, 2013
The traditional variable step size least mean square (LMS) algorithm has many weakness, such as poor convergence speed and susceptible to noise interference. In order to improve the performance of the algorithm, an improved variable step size LMS algorithm is presented, and it is applied to the noise cancelling system of communication.
null Xueli Wu   +2 more
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A variable step-size affine projection algorithm

Digital Signal Processing, 2010
In this paper, we propose a new time-varying step-size for the affine projection (AP) algorithm based on the minimization of the mean-square error (MSE) at each time instant. The step-size is dependent on accessible quantities and, therefore, does not need approximation.
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