Estimation and Control with Quantized Measurements

Curry, Renwick E.

doi:10.7551/mitpress/2837.001.0001

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Estimation and Control with Quantized Measurements

The MIT Press

DOI:

https://doi.org/10.7551/mitpress/2837.001.0001

ISBN electronic:

9780262255967

Publication date:

1970

In Estimation and Control with Quantized Measurements, Dr. Curry examines the two distinct but related problems of state variable estimation and control when the measurements are quantized. Consideration is limited to discrete-time problems, and emphasis is placed on coarsely quantized measurements and linear, possibly time-varying systems

Foreword

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https://doi.org/10.7551/mitpress/2837.003.0001

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Preface

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https://doi.org/10.7551/mitpress/2837.003.0002

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1: Introduction

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https://doi.org/10.7551/mitpress/2837.003.0003

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2: Nonlinear Estimation with Quantized Measurements

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https://doi.org/10.7551/mitpress/2837.003.0004

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3: Three Digital Communications Systems

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https://doi.org/10.7551/mitpress/2837.003.0005

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4: Optimal Linear Estimators for Quantized Stationary Processes

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https://doi.org/10.7551/mitpress/2837.003.0006

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5: Optimal Stochastic Control with Quantized Measurements

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https://doi.org/10.7551/mitpress/2837.003.0007

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6: Suboptimal and Linear Control with Quantized Measurements

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https://doi.org/10.7551/mitpress/2837.003.0008

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7: Summary and Recommendations for Further Study

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https://doi.org/10.7551/mitpress/2837.003.0009

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Appendix A - Power Series Approximation to the Conditional Mean and Covariance of a Quantized Gaussian Vector

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https://doi.org/10.7551/mitpress/2837.003.0010

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Appendix B - Performance Estimates for the Gaussian Fit Algorithm

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https://doi.org/10.7551/mitpress/2837.003.0011

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Appendix C - Sensitivities of Mean Square Estimation Error with Respect to Quantizer Parameters

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https://doi.org/10.7551/mitpress/2837.003.0012

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Appendix D - A Proof of a Separation Theorem for Nonlinear Measurements

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https://doi.org/10.7551/mitpress/2837.003.0013

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Appendix E - Derivation of the One-Measurement Cost Function

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https://doi.org/10.7551/mitpress/2837.003.0014

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References

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https://doi.org/10.7551/mitpress/2837.003.0015

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Index

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https://doi.org/10.7551/mitpress/2837.003.0016

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Estimation and Control with Quantized Measurements

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