Biosignal Processing

Fundamentals for Biomedical Engineers

Parker S. Ruth and Christopher M. Neils

## Summary

Biosignals can encode information about human health and physiology. They
can be used to diagnose diseases, screen for disorders, and monitor vital
signs. This text introduces the essential principles you need to understand
biosignal processing. With explanations, derivations, illustrations, and
worked examples, this text provides the foundation you need
to design engineering solutions to biosignal processing applications.
Topics include sampling, aliasing, continuous and discrete Fourier
transforms, digital filtering, and analog filtering.

*Biosignal Processing* is designed for students in
biomedical engineering and related disciplines. It can be used as a
stand-alone reference or in combination with a signals and sensors course.

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## Sample Pages

## Table of Contents

- Introduction
- Overview
- Background Knowledge

- Sampling
- Overview
- Binary Representation
- Aliasing

- Math Review
- Overview
- Function Symmetry
- Complex Numbers
- Wave Equations
- Dirac Delta Function
- Proof of Euler's Formula

- Fourier Analysis
- Overview
- Discrete Fourier Transform
- Continuous Fourier Transform
- Linearity
- Differentiation and Integration
- Convolution
- Fourier Transform Pairs
- Linear Time-Invariant Systems
- Fourier Series

- Digital Filtering
- Overview
- Finite Impulse Response Filters
- Infinite Impulse Response Filters

- Analog Filtering
- Overview
- Circuits Review
- Impedance
- Voltage Dividers
- First-Order Passive Filters
- Bode Plots
- Second-Order Passive Filters
- Resonance
- Operational Amplifiers
- Op Amp Amplifiers
- Buffer Amplifiers
- Cascaded Passive Filters
- Differentiators and Integrators
- Active Filters

## BibTeX

```
@book{biosignal_processing_2020,
title={Biosignal Processing: Fundamentals for Biomedical Engineers},
author={Parker S. Ruth and Christopher M. Neils},
publisher={Independently Published},
url={https://parkersruth.github.io/biosignal-processing},
year={2020}
}
```