Symbolic Math Toolbox

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Valters Gatis - One of the best experts on this subject based on the ideXlab platform.

  • Initial Version of Matlab/Simulink Based Tool for VHDL Code Generation and FPGA Implementation of Elementary Generalized Unitary Rotation
    IEEE, 1
    Co-Authors: Valters Gatis
    Abstract:

    This paper describes a Matlab/Simulink GUI based tool for automated FPGA implementation of complex Jacobi-like Elementary Generalized Unitary rotation (EGU-rotation). The present work is targeted on multiplier-adder based rotation algorithm. The developed tool supports a large number of EGU-rotation matrix (EGURM) faces. The Symbolic Math Toolbox is used for operations with formulas. An intensive text processing has been used to get elementary expressions suitable for HDL coding. The tool uses Simulink HDL coder to generate implementable VHDL code. Three kinds of tests and a comparison of results are used. Estimation of rotation quality is based on the mean square error. An interaction between Matlab/Simulink and Altera Quartus II/ModelSim involves the using of scripts

James W Derby - One of the best experts on this subject based on the ideXlab platform.

  • Mathematical Model and Energy Efficiency Analysis of a Scroll-type Air Motor
    2010
    Co-Authors: Li Yang, Jihong Wang, Stephen Mangan, James W Derby
    Abstract:

    Abstract—The paper presents a simplified Mathematical model for a scroll-type air motor. Through air power/energy analysis, it has shown that a scroll-type air motor with a properly specified structure and suitable pressure of compressed air supply is able to achieve high energy efficiency and satisfies air power requirement. The features of a scroll-type air motor in geometry, mechanical structure, and pneumatic power transmission are studied in the paper. Differential geometry is used as the Mathematical tool to parameterise the scroll. In this study, Matlab Symbolic Math Toolbox is found very efficient in finding analytic expressions of scroll chamber volumes and generalised torques. State shifting is employed to solve the dynamic system equations numerically. Energy efficiency of the scroll-type air motor is analysed based on the Mathematical model. Index Terms — Energy efficiency, scroll-type air motors, pneumatic actuators, Mathematical modeling. I

  • Energy Efficiency Analysis of a Scroll-type Air Motor Based on a Simplified Mathematical Model
    2009
    Co-Authors: Li Yang, Jihong Wang, Stephen Mangan, James W Derby
    Abstract:

    Abstract—The paper presents a simplified Mathematical model for a scroll-type air motor. Through air power/energy analysis, it has shown that a scroll-type air motor with a properly specified structure and suitable pressure of compressed air supply is able to achieve high energy efficiency and satisfies air power requirement. The features of a scroll-type air motor in geometry, mechanical structure, and pneumatic power transmission are studied in the paper. Differential geometry is used as the Mathematical tool to parameterise the scroll. In this study, Matlab Symbolic Math Toolbox is found very efficient in finding analytic expressions of scroll chamber volumes and generalised torques. State shifting is employed to solve the dynamic system equations numerically. Energy efficiency of a scroll-type air motor is analysed based on the Mathematical model. Index Terms — Energy efficiency, scroll-type air motors, pneumatic actuators, Mathematical modeling. I

Li Yang - One of the best experts on this subject based on the ideXlab platform.

  • Mathematical Model and Energy Efficiency Analysis of a Scroll-type Air Motor
    2010
    Co-Authors: Li Yang, Jihong Wang, Stephen Mangan, James W Derby
    Abstract:

    Abstract—The paper presents a simplified Mathematical model for a scroll-type air motor. Through air power/energy analysis, it has shown that a scroll-type air motor with a properly specified structure and suitable pressure of compressed air supply is able to achieve high energy efficiency and satisfies air power requirement. The features of a scroll-type air motor in geometry, mechanical structure, and pneumatic power transmission are studied in the paper. Differential geometry is used as the Mathematical tool to parameterise the scroll. In this study, Matlab Symbolic Math Toolbox is found very efficient in finding analytic expressions of scroll chamber volumes and generalised torques. State shifting is employed to solve the dynamic system equations numerically. Energy efficiency of the scroll-type air motor is analysed based on the Mathematical model. Index Terms — Energy efficiency, scroll-type air motors, pneumatic actuators, Mathematical modeling. I

  • Energy Efficiency Analysis of a Scroll-type Air Motor Based on a Simplified Mathematical Model
    2009
    Co-Authors: Li Yang, Jihong Wang, Stephen Mangan, James W Derby
    Abstract:

    Abstract—The paper presents a simplified Mathematical model for a scroll-type air motor. Through air power/energy analysis, it has shown that a scroll-type air motor with a properly specified structure and suitable pressure of compressed air supply is able to achieve high energy efficiency and satisfies air power requirement. The features of a scroll-type air motor in geometry, mechanical structure, and pneumatic power transmission are studied in the paper. Differential geometry is used as the Mathematical tool to parameterise the scroll. In this study, Matlab Symbolic Math Toolbox is found very efficient in finding analytic expressions of scroll chamber volumes and generalised torques. State shifting is employed to solve the dynamic system equations numerically. Energy efficiency of a scroll-type air motor is analysed based on the Mathematical model. Index Terms — Energy efficiency, scroll-type air motors, pneumatic actuators, Mathematical modeling. I

Stephen Mangan - One of the best experts on this subject based on the ideXlab platform.

  • Mathematical Model and Energy Efficiency Analysis of a Scroll-type Air Motor
    2010
    Co-Authors: Li Yang, Jihong Wang, Stephen Mangan, James W Derby
    Abstract:

    Abstract—The paper presents a simplified Mathematical model for a scroll-type air motor. Through air power/energy analysis, it has shown that a scroll-type air motor with a properly specified structure and suitable pressure of compressed air supply is able to achieve high energy efficiency and satisfies air power requirement. The features of a scroll-type air motor in geometry, mechanical structure, and pneumatic power transmission are studied in the paper. Differential geometry is used as the Mathematical tool to parameterise the scroll. In this study, Matlab Symbolic Math Toolbox is found very efficient in finding analytic expressions of scroll chamber volumes and generalised torques. State shifting is employed to solve the dynamic system equations numerically. Energy efficiency of the scroll-type air motor is analysed based on the Mathematical model. Index Terms — Energy efficiency, scroll-type air motors, pneumatic actuators, Mathematical modeling. I

  • Energy Efficiency Analysis of a Scroll-type Air Motor Based on a Simplified Mathematical Model
    2009
    Co-Authors: Li Yang, Jihong Wang, Stephen Mangan, James W Derby
    Abstract:

    Abstract—The paper presents a simplified Mathematical model for a scroll-type air motor. Through air power/energy analysis, it has shown that a scroll-type air motor with a properly specified structure and suitable pressure of compressed air supply is able to achieve high energy efficiency and satisfies air power requirement. The features of a scroll-type air motor in geometry, mechanical structure, and pneumatic power transmission are studied in the paper. Differential geometry is used as the Mathematical tool to parameterise the scroll. In this study, Matlab Symbolic Math Toolbox is found very efficient in finding analytic expressions of scroll chamber volumes and generalised torques. State shifting is employed to solve the dynamic system equations numerically. Energy efficiency of a scroll-type air motor is analysed based on the Mathematical model. Index Terms — Energy efficiency, scroll-type air motors, pneumatic actuators, Mathematical modeling. I

Jihong Wang - One of the best experts on this subject based on the ideXlab platform.

  • Mathematical Model and Energy Efficiency Analysis of a Scroll-type Air Motor
    2010
    Co-Authors: Li Yang, Jihong Wang, Stephen Mangan, James W Derby
    Abstract:

    Abstract—The paper presents a simplified Mathematical model for a scroll-type air motor. Through air power/energy analysis, it has shown that a scroll-type air motor with a properly specified structure and suitable pressure of compressed air supply is able to achieve high energy efficiency and satisfies air power requirement. The features of a scroll-type air motor in geometry, mechanical structure, and pneumatic power transmission are studied in the paper. Differential geometry is used as the Mathematical tool to parameterise the scroll. In this study, Matlab Symbolic Math Toolbox is found very efficient in finding analytic expressions of scroll chamber volumes and generalised torques. State shifting is employed to solve the dynamic system equations numerically. Energy efficiency of the scroll-type air motor is analysed based on the Mathematical model. Index Terms — Energy efficiency, scroll-type air motors, pneumatic actuators, Mathematical modeling. I

  • Energy Efficiency Analysis of a Scroll-type Air Motor Based on a Simplified Mathematical Model
    2009
    Co-Authors: Li Yang, Jihong Wang, Stephen Mangan, James W Derby
    Abstract:

    Abstract—The paper presents a simplified Mathematical model for a scroll-type air motor. Through air power/energy analysis, it has shown that a scroll-type air motor with a properly specified structure and suitable pressure of compressed air supply is able to achieve high energy efficiency and satisfies air power requirement. The features of a scroll-type air motor in geometry, mechanical structure, and pneumatic power transmission are studied in the paper. Differential geometry is used as the Mathematical tool to parameterise the scroll. In this study, Matlab Symbolic Math Toolbox is found very efficient in finding analytic expressions of scroll chamber volumes and generalised torques. State shifting is employed to solve the dynamic system equations numerically. Energy efficiency of a scroll-type air motor is analysed based on the Mathematical model. Index Terms — Energy efficiency, scroll-type air motors, pneumatic actuators, Mathematical modeling. I