The Experts below are selected from a list of 34632 Experts worldwide ranked by ideXlab platform
Alan V Oppenheim - One of the best experts on this subject based on the ideXlab platform.
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quantization noise shaping on arbitrary Frame expansions
EURASIP Journal on Advances in Signal Processing, 2006Co-Authors: Petros T Boufounos, Alan V OppenheimAbstract:Quantization noise shaping is commonly used in oversampled A/D and D/A converters with uniform sampling. This paper considers quantization noise shaping for arbitrary finite Frame expansions based on generalizing the view of first-order classical oversampled noise shaping as a compensation of the quantization error through projections. Two levels of generalization are developed, one a special case of the other, and two different cost models are proposed to evaluate the quantizer structures. Within our Framework, the synthesis Frame Vectors are assumed given, and the computational complexity is in the initial determination of Frame Vector ordering, carried out off-line as part of the quantizer design. We consider the extension of the results to infinite shift-invariant Frames and consider in particular filtering and oversampled filter banks.
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quantization noise shaping on arbitrary Frame expansions
International Conference on Acoustics Speech and Signal Processing, 2005Co-Authors: Petros T Boufounos, Alan V OppenheimAbstract:Quantization noise shaping is commonly used in oversampled A/D and D/A converters. This paper considers quantization noise shaping for arbitrary Frame expansions of signals based on generalizing the view of first order noise shaping as a compensation of the quantization error through a projection. Two levels of generalization are developed, one a special case of the other, and two different cost models are proposed to evaluate the quantizer structures. Within our Framework, the implementation of the quantizer and reconstruction are computationally straightforward. The computational complexity is in the initial determination of Frame Vector ordering, which is part of the quantizer design and carried out off-line. We show that in the case of Frame representation corresponding to uniform oversampling, the natural ordering implied by sequential time sampling is optimal. Furthermore, for general finite Frame expansions, the problem of optimal ordering corresponds to known problems in graph theory.
Petros T Boufounos - One of the best experts on this subject based on the ideXlab platform.
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quantization noise shaping on arbitrary Frame expansions
EURASIP Journal on Advances in Signal Processing, 2006Co-Authors: Petros T Boufounos, Alan V OppenheimAbstract:Quantization noise shaping is commonly used in oversampled A/D and D/A converters with uniform sampling. This paper considers quantization noise shaping for arbitrary finite Frame expansions based on generalizing the view of first-order classical oversampled noise shaping as a compensation of the quantization error through projections. Two levels of generalization are developed, one a special case of the other, and two different cost models are proposed to evaluate the quantizer structures. Within our Framework, the synthesis Frame Vectors are assumed given, and the computational complexity is in the initial determination of Frame Vector ordering, carried out off-line as part of the quantizer design. We consider the extension of the results to infinite shift-invariant Frames and consider in particular filtering and oversampled filter banks.
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quantization noise shaping on arbitrary Frame expansions
International Conference on Acoustics Speech and Signal Processing, 2005Co-Authors: Petros T Boufounos, Alan V OppenheimAbstract:Quantization noise shaping is commonly used in oversampled A/D and D/A converters. This paper considers quantization noise shaping for arbitrary Frame expansions of signals based on generalizing the view of first order noise shaping as a compensation of the quantization error through a projection. Two levels of generalization are developed, one a special case of the other, and two different cost models are proposed to evaluate the quantizer structures. Within our Framework, the implementation of the quantizer and reconstruction are computationally straightforward. The computational complexity is in the initial determination of Frame Vector ordering, which is part of the quantizer design and carried out off-line. We show that in the case of Frame representation corresponding to uniform oversampling, the natural ordering implied by sequential time sampling is optimal. Furthermore, for general finite Frame expansions, the problem of optimal ordering corresponds to known problems in graph theory.
Kenneth Mcisaac - One of the best experts on this subject based on the ideXlab platform.
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guaranteed performance of nonlinear attitude filters on the special orthogonal group so 3
IEEE Access, 2019Co-Authors: Hashim A. Hashim, Lyndon J. Brown, Kenneth McisaacAbstract:This paper proposes two novel nonlinear attitude filters evolved directly on the Special Orthogonal Group SO(3) able to ensure prescribed measures of transient and steady-state performance. The tracking performance of the normalized Euclidean distance of attitude error is trapped to initially start within a large set and converge systematically and asymptotically to the origin from almost any initial condition. The convergence rate is guaranteed to be less than the prescribed value and the steady-state error does not exceed a predefined small value. The first filter uses a set of Vectorial measurements with the need for attitude reconstruction. The second filter instead uses only a rate gyroscope measurement and two or more Vectorial measurements. These filters provide good attitude estimates with superior convergence properties and can be applied to measurements obtained from low cost inertial measurement units (IMUs). Simulation results illustrate the robustness and effectiveness of the proposed attitude filters with guaranteed performance considering high level of uncertainty in angular velocity along with body-Frame Vector measurements. Keywords: Attitude, estimate, estimator, observer, filter, nonlinear deterministic attitude filter, special orthogonal group, Euler angles, angle-axis, Rodrigues Vector, mapping, parameterization, prescribed performance, representation, robust, Multiplicative Extended Kalman Filter, KF, EKF, MEKF, asymptotic stability, almost global asymptotic, noise, rotational matrix, identity, origin, orientation, body Frame, inertial Frame, rigid body, three dimensional, 3D, space, micro electromechanical systems, sensor, MEMS, roll, pitch, yaw, UAVs, QUAV, SVD, fixed, moving, vehicles, robot, robotic system, spacecraft, submarine, underwater vehicle, passive complementary filter, explicit complementary filter, autonomous, comparative study, SO(3).
Hashim A. Hashim - One of the best experts on this subject based on the ideXlab platform.
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guaranteed performance of nonlinear attitude filters on the special orthogonal group so 3
IEEE Access, 2019Co-Authors: Hashim A. Hashim, Lyndon J. Brown, Kenneth McisaacAbstract:This paper proposes two novel nonlinear attitude filters evolved directly on the Special Orthogonal Group SO(3) able to ensure prescribed measures of transient and steady-state performance. The tracking performance of the normalized Euclidean distance of attitude error is trapped to initially start within a large set and converge systematically and asymptotically to the origin from almost any initial condition. The convergence rate is guaranteed to be less than the prescribed value and the steady-state error does not exceed a predefined small value. The first filter uses a set of Vectorial measurements with the need for attitude reconstruction. The second filter instead uses only a rate gyroscope measurement and two or more Vectorial measurements. These filters provide good attitude estimates with superior convergence properties and can be applied to measurements obtained from low cost inertial measurement units (IMUs). Simulation results illustrate the robustness and effectiveness of the proposed attitude filters with guaranteed performance considering high level of uncertainty in angular velocity along with body-Frame Vector measurements. Keywords: Attitude, estimate, estimator, observer, filter, nonlinear deterministic attitude filter, special orthogonal group, Euler angles, angle-axis, Rodrigues Vector, mapping, parameterization, prescribed performance, representation, robust, Multiplicative Extended Kalman Filter, KF, EKF, MEKF, asymptotic stability, almost global asymptotic, noise, rotational matrix, identity, origin, orientation, body Frame, inertial Frame, rigid body, three dimensional, 3D, space, micro electromechanical systems, sensor, MEMS, roll, pitch, yaw, UAVs, QUAV, SVD, fixed, moving, vehicles, robot, robotic system, spacecraft, submarine, underwater vehicle, passive complementary filter, explicit complementary filter, autonomous, comparative study, SO(3).
Lyndon J. Brown - One of the best experts on this subject based on the ideXlab platform.
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guaranteed performance of nonlinear attitude filters on the special orthogonal group so 3
IEEE Access, 2019Co-Authors: Hashim A. Hashim, Lyndon J. Brown, Kenneth McisaacAbstract:This paper proposes two novel nonlinear attitude filters evolved directly on the Special Orthogonal Group SO(3) able to ensure prescribed measures of transient and steady-state performance. The tracking performance of the normalized Euclidean distance of attitude error is trapped to initially start within a large set and converge systematically and asymptotically to the origin from almost any initial condition. The convergence rate is guaranteed to be less than the prescribed value and the steady-state error does not exceed a predefined small value. The first filter uses a set of Vectorial measurements with the need for attitude reconstruction. The second filter instead uses only a rate gyroscope measurement and two or more Vectorial measurements. These filters provide good attitude estimates with superior convergence properties and can be applied to measurements obtained from low cost inertial measurement units (IMUs). Simulation results illustrate the robustness and effectiveness of the proposed attitude filters with guaranteed performance considering high level of uncertainty in angular velocity along with body-Frame Vector measurements. Keywords: Attitude, estimate, estimator, observer, filter, nonlinear deterministic attitude filter, special orthogonal group, Euler angles, angle-axis, Rodrigues Vector, mapping, parameterization, prescribed performance, representation, robust, Multiplicative Extended Kalman Filter, KF, EKF, MEKF, asymptotic stability, almost global asymptotic, noise, rotational matrix, identity, origin, orientation, body Frame, inertial Frame, rigid body, three dimensional, 3D, space, micro electromechanical systems, sensor, MEMS, roll, pitch, yaw, UAVs, QUAV, SVD, fixed, moving, vehicles, robot, robotic system, spacecraft, submarine, underwater vehicle, passive complementary filter, explicit complementary filter, autonomous, comparative study, SO(3).
