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BIOE 301: Analysis of Physiological Systems

 

 

Course Topics:

  • Introduction to signals and systems
  • Continuous time signals and properties
  • Introduction to System Modeling
    • Electrical circuit fundamentals; 1st order differential equations
    • Mass-spring-damper system; 2nd order differential equations
  • Basic system properties
  • Modeling systems through differential equations
  • Impulse response and convolution
  • Line spectra
  • Review of complex numbers
  • Fourier series representation of signals
  • Fourier Transform and properties
  • Frequency domain analysis of systems
  • Laplace Transform and properties
  • Transfer functions and inverse Laplace Transform
  • Stability; step response; 2nd order systems
  • Bode Plots
  • Causal filters