The Experts below are selected from a list of 17652 Experts worldwide ranked by ideXlab platform
B. Nowrouzian - One of the best experts on this subject based on the ideXlab platform.
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closed form solution of granular Quantization Error for multi loop sigma delta modulator configurations
Midwest Symposium on Circuits and Systems, 1995Co-Authors: T.p. Borsodi, B. NowrouzianAbstract:This paper undertakes an investigation of the closed-form solution of the Quantization Error for the conventional multi-loop sigma-delta (/spl Sigma/-/spl Delta/) modulator configurations. The underlying assumption in this investigation is that the constituent coarse quantizer operates in its no-overload region. The required overload-free quantizer operation is achieved by placing an appropriate bound on the /spl Sigma/-/spl Delta/ modulator input signal. The main results are illustrated through their application to the determination of the Quantization Error for a number of multi-loop /spl Sigma/-/spl Delta/ modulator configurations for both DC as well as AC input signals.
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closed form solution of granular Quantization Error for a class of sigma delta modulators
International Symposium on Circuits and Systems, 1995Co-Authors: T.p. Borsodi, B. NowrouzianAbstract:This paper presents a closed-form solution for the granular Quantization Error (i.e. the Quantization Error under the no-overload condition) for a class of sigma-delta modulators. This class includes the conventional multi-loop sigma-delta modulators as a special case. The proposed closed-form solution is based on a nonlinear matrix difference equation relating the Quantization Error to its past values and the present and past values of the input signal via the arithmetic operation of the quantizer. The closed-form solution is established in terms of a theorem accompanied by a formal proof. It is then applied to the determination of the exact Quantization Error for a triple-loop sigma-delta modulator.
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ISCAS - Closed-form solution of granular Quantization Error for a class of sigma-delta modulators
Proceedings of ISCAS'95 - International Symposium on Circuits and Systems, 1Co-Authors: T.p. Borsodi, B. NowrouzianAbstract:This paper presents a closed-form solution for the granular Quantization Error (i.e. the Quantization Error under the no-overload condition) for a class of sigma-delta modulators. This class includes the conventional multi-loop sigma-delta modulators as a special case. The proposed closed-form solution is based on a nonlinear matrix difference equation relating the Quantization Error to its past values and the present and past values of the input signal via the arithmetic operation of the quantizer. The closed-form solution is established in terms of a theorem accompanied by a formal proof. It is then applied to the determination of the exact Quantization Error for a triple-loop sigma-delta modulator.
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Internal Quantization Error for triple-loop sigma-delta converters with sinusoidal excitations
Proceedings of 1996 Canadian Conference on Electrical and Computer Engineering, 1Co-Authors: Y. Botteron, B. NowrouzianAbstract:The paper investigates the internal Quantization Error for a conventional triple-loop sigma-delta (/spl Sigma/-/spl Delta/) converter configuration. This is achieved through the derivation of the closed-form solution of the internal Quantization Error for a general input signal excitation assuming an overload-free quantizer operation. The resulting closed-form solution is subsequently applied to the determination of the Quantization Error associated with a sinusoidal input signal excitation for the spectral analysis and characterization of the /spl Sigma/-/spl Delta/ converter configuration. Computational results are included to confirm the validity of the closed-form solution.
T.p. Borsodi - One of the best experts on this subject based on the ideXlab platform.
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closed form solution of granular Quantization Error for multi loop sigma delta modulator configurations
Midwest Symposium on Circuits and Systems, 1995Co-Authors: T.p. Borsodi, B. NowrouzianAbstract:This paper undertakes an investigation of the closed-form solution of the Quantization Error for the conventional multi-loop sigma-delta (/spl Sigma/-/spl Delta/) modulator configurations. The underlying assumption in this investigation is that the constituent coarse quantizer operates in its no-overload region. The required overload-free quantizer operation is achieved by placing an appropriate bound on the /spl Sigma/-/spl Delta/ modulator input signal. The main results are illustrated through their application to the determination of the Quantization Error for a number of multi-loop /spl Sigma/-/spl Delta/ modulator configurations for both DC as well as AC input signals.
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closed form solution of granular Quantization Error for a class of sigma delta modulators
International Symposium on Circuits and Systems, 1995Co-Authors: T.p. Borsodi, B. NowrouzianAbstract:This paper presents a closed-form solution for the granular Quantization Error (i.e. the Quantization Error under the no-overload condition) for a class of sigma-delta modulators. This class includes the conventional multi-loop sigma-delta modulators as a special case. The proposed closed-form solution is based on a nonlinear matrix difference equation relating the Quantization Error to its past values and the present and past values of the input signal via the arithmetic operation of the quantizer. The closed-form solution is established in terms of a theorem accompanied by a formal proof. It is then applied to the determination of the exact Quantization Error for a triple-loop sigma-delta modulator.
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ISCAS - Closed-form solution of granular Quantization Error for a class of sigma-delta modulators
Proceedings of ISCAS'95 - International Symposium on Circuits and Systems, 1Co-Authors: T.p. Borsodi, B. NowrouzianAbstract:This paper presents a closed-form solution for the granular Quantization Error (i.e. the Quantization Error under the no-overload condition) for a class of sigma-delta modulators. This class includes the conventional multi-loop sigma-delta modulators as a special case. The proposed closed-form solution is based on a nonlinear matrix difference equation relating the Quantization Error to its past values and the present and past values of the input signal via the arithmetic operation of the quantizer. The closed-form solution is established in terms of a theorem accompanied by a formal proof. It is then applied to the determination of the exact Quantization Error for a triple-loop sigma-delta modulator.
Tuomo Kauranne - One of the best experts on this subject based on the ideXlab platform.
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estimating the number of clusters in a numerical data set via Quantization Error modeling
Pattern Recognition, 2015Co-Authors: A I Kolesnikov, Elena Trichina, Tuomo KauranneAbstract:In this paper, we consider the problem of unsupervised clustering (vector Quantization) of multidimensional numerical data. We propose a new method for determining an optimal number of clusters in the data set. The method is based on parametric modeling of the Quantization Error. The model parameter can be treated as the effective dimensionality of the data set. The proposed method was tested with artificial and real numerical data sets and the results of the experiments demonstrate empirically not only the effectiveness of the method but its ability to cope with difficult cases where other known methods fail. A parameterized model for the clustering Error is introduced.The model parameter is a measure of the data dimension and homogeneity.A new cost criterion is derived from the properties of the model.The method demonstrates good results for numerical data sets.
Dario Petri - One of the best experts on this subject based on the ideXlab platform.
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marginal probability density function of granular Quantization Error in uniform quantizers
IEEE Transactions on Information Theory, 2001Co-Authors: P. Carbone, Dario PetriAbstract:The authors analyze the validity of the uniform model for the marginal probability density function (PDF) of granular Quantization Error (QE) in a uniform quantizer, subjected to random input signals. Two theorems are proved, which show that the knowledge of the average of such Error as a function of input signal average, suffices for the determination of the Quantization Error PDF (QEPDF). This result is employed to derive simple expressions for the QEPDF in the case of random inputs with uniform, sinusoidal, or Gaussian distributions.
T Kidokoro - One of the best experts on this subject based on the ideXlab platform.
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servo performance enhancement of motion system via a Quantization Error estimation method introduction to nanoscale servo control
IEEE Transactions on Industrial Electronics, 2009Co-Authors: Mitsuo Hirata, T KidokoroAbstract:When compared to the accuracy of nanoscale control, the resolution of current positioning sensors is relatively low. Because of this, the output from low-precision sensors normally includes Quantization Errors that could degrade control performance. As a result, in this paper, a method of Quantization Error estimation based on the least square method is examined. In the proposed method, estimation accuracy is improved by taking into account the effect of input disturbances. Furthermore, a bias adjustment method is proposed that is expected to satisfy the constraints on Quantization Error. The effectiveness of the proposed method is demonstrated by simulations and experiments.
