This page contains fill-in notes on *Measurement* lectures from the course ME 315.

For source code from the lectures, see the source code page.

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Single file

A single pdf can be downloaded here.

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Lecture files

Click the thumbnails on the notes below to get a pdf version.

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01.00 Theoretical foundations

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01.01 Mathematical measurement theory

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01.02 Operationalism conventionalism and realism

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01.03 Information theoretic descriptions of measurement

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01.04 Model based descriptions of measurement

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01.05 Epistemology of measurement

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02.00 Signals

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02.01 Types of signals

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02.02 Fourier series

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02.03 Fourier transforms

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02.04 Sampling

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02.05 Nyquist sampling theorem aliasing and reconstruction

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02.06 Discrete Fourier transforms

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02.07 Problems for Chapter 02

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03.00 Measurement systems as dynamic systems

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03.01 Dynamic system representations

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03.02 Zeroth order measurement systems

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03.03 First order measurement systems

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03.04 Second order measurement systems

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03.05 Second order measurement systems

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03.06 Transient response characteristics

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03.07 Transient response characteristics

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03.08 Properties of linear time invariant systems

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03.09 Response to periodic inputs

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03.10 Phase linearity

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03.11 Problems for Chapter 03

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04.00 Probability statistics and estimation

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04.01 Probability and measurement

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04.02 Introduction to set theory

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04.03 Basic probability theory

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04.04 Independence and conditional probability

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04.05 Bayes' theorem

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04.06 Populations samples and machine learning

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04.07 Random variables

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04.08 Probability density and mass functions

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04.09 Expectation

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04.10 Central moments

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04.11 Estimation of sample mean and variance

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04.12 Confidence

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04.13 Student confidence

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04.14 Multivariate probability and correlation

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04.15 Regression

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05.00 Uncertainty analysis

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05.01 Design stage uncertainty analysis

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05.02 Functional propagation of uncertainty

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05.03 Rigorous uncertainty analysis

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06.00 Electricity measurement

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06.01 Instrumentation for electricity measurement

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06.02 Measuring resistance well

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07.00 Digital measurement

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08.00 Temperature measurement

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09.00 Pressure and velocity measurement

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10.00 Flow measurement

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11.00 Strain measurement

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12.00 Sensors actuators and control

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A.00 Algebra and trigonometry reference

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A.01 Quadratic forms

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A.02 Trigonometry

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B.00 Distribution tables

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B.01 Gaussian distribution table

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C.00 Bibliography