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Jan 15, 2025
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BE 3800 - Biomedical Signals and Systems II3 lecture hours 0 lab hours 3 credits
Course Description
This course is intended to advance a student’s understanding of the materials introduced in BE 206 , Biomedical Signals and Systems I. The primary goal of the course is to enhance their ability to predict and modify behavior of continuous-time physiological signals and systems. The course is designed to prepare students for upper-level courses in biomedical digital signal processing, advance medical instrumentation, medical imaging, and feedback control systems. The primary material coverage will be the treatment of continuous-time signals and systems and provide introductory coverage of the Fourier series and Fourier transform. These topics are critical if a student is to gain a thorough understanding of continuous-time signals and systems, particularly physiological signals and systems. These are critical concepts that a biomedical engineer must understand in order to predict how a physiological system will alter a signal and that the alteration may be intentional (designed) or unintentional (interference). (prereq: BE 206 , BE 2200 ) (coreq: BE 3100 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• Explain the difference between intrinsic and extrinsic biological signals
• Explain the difference between the Fourier series and Fourier transform
• Analyze a continuous-time, periodic signal and represent that signal as a sum of weighted complex exponentials or sinusoids by computing its Fourier series coefficients
• Reconstruct a continuous-time signal from its Fourier series coefficients
• Determine the Fourier transform (or inverse Fourier transform) of a signal by using a table of common Fourier transform pairs and a table of Fourier transform properties
• Determine and plot the magnitude and phase spectra of a continuous-time signal using the Fourier transform
• Determine the bandwidth of a continuous-time signal
• Develop the transfer function for a continuous linear time invariant (LTI) system
• Determine the frequency response of a LTI System
• Design an analog filter to approximate the frequency response of an ideal filter (lowpass, bandpass, bandstop, or highpass)
• Use MATLAB as an engineering tool
• Compute the output of a linear, time-invariant (LTI) system using the convolution integral
• Compute the power and/or energy of a continuous-time signal and/or an LTI system
Prerequisites by Topic
• No prerequisites by topic appended
Course Topics
• Introduction — course requirements, expected outcomes (1 class)
• Define signals and systems (1 class)
• Review of Matlab and Multisim ((1 class)
• Review of complex numbers and complex exponentials (2 classes)
• Power and Energy in a system with multiple sources at the same and at different frequencies (3 classes)
• Exponential Fourier Series (3 classes)
• Fourier Series Coefficients and Insights (3 classes)
• Continuous-Time Signals, LTI Systems, and Convolution (3 classes)
• Frequency Response(3 classes)
• Continuous-Time Fourier Transform (6 classes)
• Exams and Assessment (4 classes)
Coordinator
John Gassert
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