## 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