ECE 222: Fundamentals of Signals and Systems
Fall 2004


9/22/03 Introduction to signals and systems, continuous-time and discrete-time signals, power and energy, periodic signals, even and odd signals. 1.1-1.2
9/24/03Complex number review; Complex exponentials and sinusiods in continuous time and discrete time.1.3
9/27/03Unit impulse and unit step functions - continuous time and discrete time. 1.4
9/28/03Examples of continuous-time, discrete-time systems, interconnections of systems, basic system properties - system memory, causality, invertibility.1.5-1.6
9/19/03 Basic system properties - stability, time-invariance, linearity; superposition.1.6
10/1/03TA session
10/4/04Discrete-time LTI systems, unit impulse response, convolution sum2.1
10/5/04Examples of discrete-time convolution, algebraic properties of discrete-time convolution. 2.1, 2.3
10/6/04Continuous-time LTI systems, continuous-time convolution, relationships between system properties and impulse responses for LTI systems. 2.2-2.3
10/8/04 TA session
10/11/04Stability of LTI systems, unit step response, systems decribed by linear differential equations.2.3
10/12/04Systems described by linear differential and difference equations, solution techniques, block diagram representations 2.4
10/13/04The unit doublet and other generalized functions, definition via convolution. Introduction to Fourier Series, eigenfunction property of complex exponentials2.5, 3.1-3.2
10/15/04 Continuous time Fourier Series, exponential and trigonometric forms, Fourier analysis equations. 3.2-3.3
10/18/04 Fourier series examples, convergence of Fourier series - Dirichlet conditions, Gibbs phenomenon, Properties of Fourier series3.4-3.5
10/19/04 TA session - Review for Exam I
10/20/04Exam I
10/22/04Fourier Series and frequence response of systems, More properties of Fourier series, Discrete-time Fourier Series3.5,3.6,3.8.
10/25/04Discrete-time Fourier Series - examples and properties, Parseval's relation. 3.6-3.7
10/26/04TA session
10/27/04Continuous-time Fourier Transforms -definition, examples4.0-4.1
10/29/04C. T. Fourier transforms - time/frequency duality, scaling in time/frequency, Fourier transforms of periodic signals. 4.2-4.3
11/1/04Properties of C.T. Fourier Transforms - linearity, differentiation, time-shifting. 4.3
11/2/04TA session
11/3/04C. T. Fourier Transforms -symmetry properties, convolution property 4.3-4.4
11/5/04C. T. Fourier Transforms - multiplication property, amplitude modulation/demodulation. Fourier transforms and systems characterized by linear differential equations.4.5-4.7
11/8/04Discrete-time Fourier transform - definition, relation to Fourier Series5.0-5.1
11/9/04TA session
11/10/04D. T. Fourier transform - examples, properties. 5.1,5.3
11/12/04D. T. Fourier transforms of periodic signals, Review for exam. 5.2
11/15/04Exam II
11/16/04 D.T. Fourier Transform - differentiation properties, convolution prperty, systems described by difference equations.5.3, 5.4, 5.8
11/17/04D.T. Fourier transform - multiplication property and periodic convolution, downsampling, duality of D.T. Fourier transform and C.T. Fourier series.5.5-5.6
11/19/04TA session
11/22/04Laplace transforms - introduction, relation to Fourier transforms, examples9.1
11/23/04Laplace transforms - Region of convergence, rational transforms, poles and zeros, inverting Laplace transforms 9.2-9.3
11/24/04No Class
11/29/04Laplace transforms - properties, analysis and characterization of LTI systems using Laplace Transforms 9.5-9.7
11/30/04TA session
12/1/04Examples of Laplace transform techniques - circuit analysis, feedback systems.
12/3/04Review for final
12/8/04FINAL EXAM 9-11 am.