# Notes for ME 315 Instrumentation & Experimental Design

## Introduction to instrumentation and experimental design

### Chapter 1: Fundamentals of experimentation

Covered when discussing the outline of the course on the first day of class.### Chapter 2: Experiments

Introduction to experimentsA list of steps to plan for an experiment

## Probability, statistics, & estimation

### Chapters 11 & 12: Probability & Statistics

The relation between probability and measurements (and experiments)Introduction to set theory

Basic probability

Independence and conditional probability (including Bayes' Theorem)

Populations, samples, and random variables

Random variables

Probability density functions (PDFs) and probability mass functions (PMFs)

Expectation or expected values

Central moments (including mean, variance, skewness, and kurtosis)

Means and variances of data (sample mean and sample variance)

Student's t-distribution (probability density function)

Standard deviation of the means (SDOM)

### Chapter 13: Uncertainty analysis

Basic uncertainty analysis (systematic and random errors)Covariance

General uncertainty analysis

### Chapter 14: Regression and correlation

Least-squares regression analysis## Electronics & measurement systems

### Chapter 3: Fundamental electronics

Basic electronics (voltage, current, power, resistors)Capacitors and inductors

Electrical sources

Circuit analysis

Voltage dividers

DC Motors and batteries

Wheatstone bridges

Complex voltage and current (phasors)

Impedance

Complex circuit analysis of a differentiator (high-pass filter) circuit

Impedance and measurement loading (notes by Joseph L Garbini)

Impedance and measurement loading (marked-up version)

Measurement loading impromptu, ugly example

### Chapter 4: Measurement systems: sensors and transducers

Measurement sytems overview#### Resistive sensors

Resistive sensors overview, RTDs, and thermistorsStrain gages with wheatstone bridges

Resistive force transducers

Resistive accelerometers

#### Capacitive sensors

Capacitive sensors (e.g. displacement indicators and pressure transducers)#### Fluid sensors

Pitot-static tubes#### Thermoelectric

Thermocouples (and the Thermoelectric/Seebeck Effect)### Chapter 5: Measurement systems: other components

Operational amplifiers (op-amps)### Chapter 6: Measurement systems: calibration and response

Dynamic resonse of measurement systems: an introduction (including first-order system response to a sinusoidal input)First-order filter response

## Signal analysis

### Chapters 8 & 9: Signal characteristics and Fourier

Fourier series and orthogonal functionsFourier series example

Fourier transform

Fourier transforms and frequency response functions

Frequency response example (UPDATED)