The art of measurement: theory and practice
Choice Reviews Online · 2000
1. A Philosophical Viewpoint. The Ultimate Measurement. The Mindset of Measuring. Measurement Quality. Attributes of the Measurement Model. Bibliography on Our World Geometry. 2. The Measurement Model. The Optimum Number of Parameters. Various Parameter Attributes. Example: DC Battery Resistance. Example: Control System Loop Gain. Example: Modes of Vibration. Example: GPS Navigation System. Summary. Bibliography on Modeling Examples. 3. Measurements as Random Variables. Prologue on Uncertainty. Introduction to Probability Theory. Probability Theory-Extended. Example: A Noisy Measurement. Example: A Noisy Measurement with Bias. Discrete or Quantized Random Variables. PDFs for Mixed Random Variables. Some Matrices in Probability Theory. Summary. Bibliography on Probability Theory. 4. Estimating Parameter Values. To Measure Is to Estimate. The Concept of Abstract Metric Spaces. Example: Single-Pole Transfer Function. The Least-Squares Estimate. Maximum Likelihood Estimation. Estimation Using Bayes Theorem. Sequential Estimation. The Kalman Filter. General Comments on Estimation Methods. Summary of Estimation Techniques. Bibliography on Estimation Theory. 5. A Few Examples in More Detail. Preview of Four Examples. Measuring the DC Resistance of a Battery. Closed-Loop Control System Measurements. Vibration Modes of Mechanical Structures. GPS Navigation System. Summary of Four Measurement Examples. Appendix A. Review of Basic Mathematical Tools. Preview. The Fourier Transform. The Laplace Transform. Matrix Algebra. Abstract Vector Spaces. Bibliography on Mathematical Tools. Appendix B. Derivation of GPS Navigation Equations. Glossary of Technical Words and Concepts. Index.