| Date | Topics | Reading |
| 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 |
| 9/24/03 | Complex number review; Complex exponentials
and sinusiods in continuous time and discrete
time. | 1.3 |
| 9/27/03 | Unit impulse and unit step functions -
continuous time and discrete time. | 1.4 |
| 9/28/03 | Examples 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 |
| 10/1/03 | TA session | |
| 10/4/04 | Discrete-time LTI systems, unit impulse
response, convolution sum | 2.1 |
| 10/5/04 | Examples of discrete-time convolution,
algebraic properties of discrete-time
convolution. | 2.1, 2.3 |
| 10/6/04 | Continuous-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 | |
| 10/11/04 | Stability of LTI systems, unit step response,
systems decribed by linear differential equations. | 2.3 |
| 10/12/04 | Systems described by linear differential and
difference equations, solution techniques, block diagram
representations | 2.4 |
| 10/13/04 | The unit doublet and other generalized functions, definition via
convolution. Introduction to Fourier Series, eigenfunction
property of complex exponentials | 2.5, 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 series | 3.4-3.5 |
| 10/19/04 | TA session - Review for Exam I
| |
| 10/20/04 | Exam I | |
| 10/22/04 | Fourier Series and frequence response of
systems, More properties of Fourier series, Discrete-time
Fourier Series | 3.5,3.6,3.8. |
| 10/25/04 | Discrete-time Fourier Series - examples and
properties, Parseval's relation. | 3.6-3.7 |
| 10/26/04 | TA session | |
| 10/27/04 | Continuous-time Fourier Transforms
-definition, examples | 4.0-4.1 |
| 10/29/04 | C. T. Fourier transforms -
time/frequency duality, scaling in time/frequency,
Fourier transforms of periodic
signals.
| 4.2-4.3 |
| 11/1/04 | Properties of C.T. Fourier Transforms - linearity,
differentiation, time-shifting. | 4.3 |
| 11/2/04 | TA session | |
| 11/3/04 | C. T. Fourier Transforms -symmetry properties,
convolution property | 4.3-4.4 |
| 11/5/04 | C. T. Fourier Transforms - multiplication
property, amplitude modulation/demodulation. Fourier
transforms and systems characterized by linear
differential equations. | 4.5-4.7 |
| 11/8/04 | Discrete-time Fourier transform - definition,
relation to Fourier Series | 5.0-5.1 |
| 11/9/04 | TA session | |
| 11/10/04 | D. T. Fourier transform - examples,
properties. | 5.1,5.3 |
| 11/12/04 | D. T. Fourier transforms of periodic signals,
Review for exam.
| 5.2 |
| 11/15/04 | Exam II | |
| 11/16/04 | D.T. Fourier Transform - differentiation
properties, convolution prperty, systems described by
difference equations. | 5.3, 5.4, 5.8 |
| 11/17/04 | D.T. Fourier transform - multiplication
property and periodic convolution, downsampling, duality
of D.T. Fourier transform and C.T. Fourier series. | 5.5-5.6 |
| 11/19/04 | TA session | |
| 11/22/04 | Laplace transforms - introduction, relation
to Fourier transforms, examples | 9.1 |
| 11/23/04 | Laplace transforms - Region of convergence,
rational transforms, poles and zeros, inverting Laplace transforms
| 9.2-9.3 |
| 11/24/04 | No Class | |
| 11/29/04 | Laplace transforms - properties, analysis and
characterization of
LTI systems using Laplace Transforms | 9.5-9.7 |
| 11/30/04 | TA session | |
| 12/1/04 | Examples of Laplace transform techniques
- circuit analysis, feedback systems. | |
| 12/3/04 | Review for final | |
| 12/8/04 | FINAL EXAM 9-11 am. | |