System Theory and Application

(3 Credit Hours) · Undergraduate

Learn the foundations of modern signal processing, communication systems, and control systems with examples from the latest applications of these technologies. In-depth treatment of the properties of signals as well as behavior of linear systems, in both the time domain and transform domain. Emphasis on Laplace transform techniques in continuous time and Z transform techniques in discrete time, with connections to the corresponding Fourier transform techniques, as well as connections between continuous-time and discrete-time via sampling and reconstruction. Specific Goals for the Course: ● This course builds out the fundamentals of signal and system analysis, focusing on representations of discrete-time and continuous-time signals (singularity functions, complex exponentials and geometrics, Fourier representations, Laplace and Z transforms, sampling) and representations of linear, time-invariant systems (difference and differential equations, block diagrams, system functions, poles and zeros, convolution, impulse and step responses, frequency responses). ● Applications are drawn broadly from engineering and physics, including feedback and control, communications, and signal processing. Particular emphasis is placed on developing motivating examples that are relevant in modern society and of interest to students considering further study and careers in the field. Textbook: ● "Signal Processing and Linear Systems (2nd edition)," by B.P. Lathi and Roger Green.