14:332:345 Linear Systems and Signals

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