Biosignal Processing
Fundamentals for Biomedical Engineers
Parker S. Ruth and Christopher M. Neils


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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Table of Contents

  1. Introduction
    1. Overview
    2. Background Knowledge
  2. Sampling
    1. Overview
    2. Binary Representation
    3. Aliasing
  3. Math Review
    1. Overview
    2. Function Symmetry
    3. Complex Numbers
    4. Wave Equations
    5. Dirac Delta Function
    6. Proof of Euler's Formula
  4. Fourier Analysis
    1. Overview
    2. Discrete Fourier Transform
    3. Continuous Fourier Transform
    4. Linearity
    5. Differentiation and Integration
    6. Convolution
    7. Fourier Transform Pairs
    8. Linear Time-Invariant Systems
    9. Fourier Series
  5. Digital Filtering
    1. Overview
    2. Finite Impulse Response Filters
    3. Infinite Impulse Response Filters
  6. Analog Filtering
    1. Overview
    2. Circuits Review
    3. Impedance
    4. Voltage Dividers
    5. First-Order Passive Filters
    6. Bode Plots
    7. Second-Order Passive Filters
    8. Resonance
    9. Operational Amplifiers
    10. Op Amp Amplifiers
    11. Buffer Amplifiers
    12. Cascaded Passive Filters
    13. Differentiators and Integrators
    14. Active Filters


    title={Biosignal Processing: Fundamentals for Biomedical Engineers},
    author={Parker S. Ruth and Christopher M. Neils},
    publisher={Independently Published},