Signals and Systems
Using MATLAB
Luis F. Chaparro
Thursday, September 9, 2010
1
Chapter 1 - Continuous-time
Signals
Thursday, September 9, 2010
2
Classication of Time-dep endent Signals
Predictability : random or deterministic
Variation of time and ampl
Signals and Systems
Using MATLAB
Luis F. Chaparro
Tuesday, August 31, 2010
1
Chapter 0 - From the
Ground Up!
Tuesday, August 31, 2010
2
1948 Birth of Digital Signal Pro cessing and Communications
Bell Telephone Laboratories invent transistor
Manchester
Signals and Systems
Using MATLAB
Luis F. Chaparro
Chapter 1 - Continuous-time
Signals
Representation using Basic Signals
Complex Exp onentials
A complex exp onential is a signal of the form
x(t) = Aeat
= |A|ert [cos(0 t + ) + j sin(0 t + )]
<t<
where A =
Signals and Systems
Using MATLAB
Luis F. Chaparro
Chapter 2 - Continuous-time
Systems
Continuous-time Systems
System: mathematical transformation of an input signal (or signals) into an
output signal (or signals).
Static or dynamic systems
Lump ed- or d
Signals and Systems
Using MATLAB
Luis F. Chaparro
Tuesday, September 21, 2010
1
Chapter 2 - Continuous-time
Systems
Tuesday, September 21, 2010
2
Application of Sup erp osition and Time-invariance
If S is a LTI system, so that
y (t) = S [x(t)] for an inpu
Signals and Systems
Using MATLAB
Luis F. Chaparro
Tuesday, October 5, 2010
1
Chapter 3 - The Laplace
Transform
Tuesday, October 5, 2010
2
Signals and LTI systems
INPUT
x(t) =
OUTPUT
LTI
System
x( ) (t )d
h(t)
y (t) =
=
x( )h(t )d
x(t )h( )d
Impulse respon
Signals and Systems
Using MATLAB
Luis F. Chaparro
Tuesday, November 2, 2010
Chapter 3 - The Laplace
Transform
Tuesday, November 2, 2010
Time Shifting
If Lf (t)u(t) = F (s), then Laplace transform of the time-shifted signal f (t )u(t ) is
L[f (t )u(t )] =
Examples of convolution
Sep. 25, 2012
1. Consider a capacitor C = 1F and input current x(t), the voltage across the capacitor is t t 1 t x( )d + y(0) x( )d = y(t) = x( )d = C - 0- - i.e., an integrator. Block diagram representation: the input to the integ
Errata for "Signals and Systems using MATLAB" by Luis F. Chaparro
Chapter 0 - From the Ground Up! pp. 18, line 3 from top of the page should read "Different from accentuating." pp. 22, equation (0.17) (ii) Im[z] = -0.5j[z - z ] pp. 43, Maple is not the cu