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Dec 04, 2024
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BE 206 - Biomedical Signals and Systems I3 lecture hours 3 lab hours 4 credits
Course Description
This course introduces students to transient analysis of linear systems primarily through the use of first and second order circuits with step inputs in the time domain. This is followed by analysis of general circuits using Laplace techniques. Transfer functions are treated in Laplace and sinusoidal steady state form. Bode plots are introduced. Circuit analysis techniques are applied analogously to selected examples from thermal, mechanical, or fluid systems. Circuit simulation software is used to support and enhance hand analysis. (prereq: EE 201 , MA 235 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• Define and explain terms used to describe first and second order systems
• Formulate differential equations to represent first and second order circuits and selected linear systems. Find the general solution to the DEQ, and use it along with the initial conditions to obtain the solution for transient analysis problems
• Determine the responses of first and second order circuits or systems with stored energy to step inputs using classical time domain techniques
• Formulate and obtain transient solutions to system differential equations using Laplace techniques
• Determine Laplace transforms for impulse, step, exponential and sinusoidal functions
• Transform circuits, including initial conditions, to their equivalent Laplace form and solve the resulting Laplace circuits
• Find inverse Laplace transforms using partial fraction expansion
• Utilize transfer functions to analyze networks and simple linear systems
• Create and interpret frequency response plots and Bode diagrams for linear systems
• Use circuit simulation software to do transient analysis
• Use power supplies, waveform generators, transducers and oscilloscopes to experimentally determine the behavior of circuits and other systems
• Keep a permanent written record of laboratory work
• Write laboratory reports
Prerequisites by Topic
• DC circuit analysis
• Sinusoidal Steady State AC circuit analysis
• First and Second order linear differential equations
• DC and AC circuit simulation sing Pspice or Mutisim
Course Topics
• Across and through variable elemental relationships for electrical and fluid systems
• Transient analysis of natural and step responses of first order RC and RL networks
• Step responses of RLC networks
• Laplace transforms of functions, mathematical operations and circuit elements
• Circuit analysis in Laplace form
• Inverse Laplace transforms
• Laplace transfer functions
• Sinusoidal steady state transfer functions and Bode Plots.
Laboratory Topics
• DC Measurements: using the DC power supply and digital multimeter
• AC measurements: Function generator and oscilloscope introduction
• First Order Electrical System: Long time constant RC circuit
• Second Order Electrical system: Transient response to step input
• Thermal system investigation: Temperature measurement and system analysis using a thermistor
• Multisim or Pspice Transient analysis
• Defibrillator simulation
• Rectangular Pulse and Impulse inputs
• Lab Practical Quiz
• Basic Low-pass/high-pass filters
Coordinator
Thomas Swiontek
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