Information Sciences Group
Ali Tajer
Associate Professor
Electrical, Computer, and Systems Engineering
Rensselaer Polytechnic Institute
(518) 276-8237
6040 Jonsson Engineering Center, 110 8th Street, Troy, NY 12180
Signals & Systems
Spring 2020
Lecture 1
introductions to signals & systems, signal size, signal classification
Lecture 2
discrete-time signals, signal symmetry, complex numbers, exponential function, signal operations
Lecture 3
useful signals (unite step, impulse (delta), gate)
Lecture 4
properties of delta function, ramp function, discrete-time signals, systems, linear systems
Lecture 5
system properties (linearity, time-invariance, memory, stability)
Lecture 6
response of LTI systems, convolution
Lecture 7
properties of convolution
Lecture 8
LTI system properties, orthogonal sets, Fourier series definition
Lecture 9
Fourier series expansion
Lecture 10
Fourier series properties
Lecture 11
Fourier series properties, trigonometric Fourier series
Lecture 12
Response of LTI systems to cosine inputs, Fourier transform definition
Lecture 13
Fourier transform properties
Lecture 14
Fourier transform properties
Lecture 15
Fourier transform properties, communication systems
Lecture 16
communication systems, sampling & reconstruction
Lecture 17
sampling & reconstruction
Lecture 18
Laplace transform
Lecture 19
inverse Laplace transform
Lecture 20
analyzing LTI systems by Laplace transform
Lecture 21
ideal filters, Butterworth filters
Lecture 22
Butterworth filters, 2nd order systems
Lecture 23
feedback
Lecture 24
Root locus
Lecture 25
z-transform
Lecture 26
z-transform properties