Course catalog description: Introduction to continuous- and discrete-time systems and signals, linear time-invariant (LTI) systems, analysis of signals and systems using Laplace and Z-transforms, frequency-domain representations using Fourier transforms, and applications in communications, control, and signal processing
Credits and contact hours: 3 credits; two 1 hour and 20-minute lecture sessions and one 1 hour and 20-minute recitation every week
Pre-Requisite courses: 14:332:222, 14:332:224, (01:640:244 or 01:640:252 or 01:640:292)
Topics Covered:
• Mathematical background; complex signals; signal properties
• Common signals and delta (impulse) functions
• Systems and system properties
• Linear time-invariant systems in continuous and discrete time
• Impulse and step system responses
• Convolution operations in continuous and discrete time
• Laplace transform and its properties; ROC analysis; inverse Laplace transforms
• Transfer functions and system analysis using the Laplace transform
• The z-transform and its properties; ROC analysis; inverse z-transforms
• Transfer functions and system analysis using the z-transform
• Continuous-time Fourier transform and its properties
• Continuous-time Fourier transforms of common signals
• Filtering continuous-time signals in the frequency domain; bandpass filters
• Discrete-time Fourier transform and its properties
• Discrete-time Fourier transforms of common signals
• Filtering discrete-time signals in the frequency domain; bandpass filters
• Applications in communications, control, and signal processing
Textbook: F. Ullaby and A. Yagle, Signals and Systems, Theory and Applications, Michigan Publishing, 2018, https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fss2.eecs.umich.edu%2F&data=02%7C01%7Cscafidi%40rutgers.edu%7C7ee5010a50064094079908d755a67620%7Cb92d2b234d35447093ff69aca6632ffe%7C1%7C0%7C637072045738051731&sdata=WdbQjeppKwcbt5vurFUFWGXKOe%2FOu8Jg211F7iugL0M%3D&reserved=0
Other supplemental material: class notes