ECE634 Signals and Systems II, Spring 2009 - Lecture 17, March 2 4.8 Frequency Response of an LTIC System This section assumes that s = + j = 0 + j = j , i.e. we are only concerned with the steady-s
ECE634 Signals and Systems II, Spring 2009 Homework 3 Solutions Show all work and write legibly for full credit.
1. For the differential equations that you solved in problem 5 of HW2, determine the
ECE634 Signals and Systems II, Spring 2009 Homework 4 The color-codes correspond to the colors you randomly selected in class. Do the problems that match your color. Show all work and write legibly f
ECE634 Signals and Systems II, Spring 2009 Homework 5 The color-codes correspond to the colors you randomly selected in class. Do the problems that match your color. Show all work and write legibly f
ECE634 Signals and Systems II, Spring 2009 - Lecture 1, January 21 Background knowledge quiz problems with solutions: Q.1. Express 2e j 3 in rectangular coordinates. A.1. Using Eulers identity: 2 cos
ECE634 Signals and Systems II, Spring 2009 - Lecture 2, January 23 B.5 Partial Fraction Expansion: B.5-1 Method of Clearing Fractions T1 ( s ) = 4s 3 + 16s 2 + 14s = A B C D + + + 2 s + 1 s + 2 ( s +
ECE634 Signals and Systems II, Spring 2009 - Lecture 4, January 30 4.1 The Laplace Transform: The unilateral (one-sided) Laplace Transform is the only one of interest here. It is defined as
X ( s ) =
ECE634 Signals and Systems II, Spring 2009 - Lecture 7, February 6 4.2 Some Properties of the Laplace Transform: Table on p.369 in the text Time shifting For x ( t ) u ( t ) X ( s ) ,
x ( t t0 )
ECE634 Signals and Systems II, Spring 2009 - Lecture 8, February 9 4.3 Solution of Differential and Integro-Differential Equations: Example 4.10 (pp.371-372) (Linear differential equation with consta
ECE634 Signals and Systems II, Spring 2009 - Lecture 11, February 16 4.4 Analysis of Electrical Networks in the Frequency Domain: Example 7.28 (G. E. Carlson, Signal and Linear System Analysis) Circ
ECE634 Signals and Systems II, Spring 2009 - Lecture 14, February 23 4.5 Block Diagrams: Fig. 4.18 (assumes no loading between blocks)
a)
Y (s)
X (s) Y (s)
= H (s)
b)
X (s)
=
W (s) Y (s) = H
ECE634 Signals and Systems II, Spring 2009 Homework 3 The color-codes correspond to the colors you randomly selected in class. Do the problems that match your color. Show all work and write legibly f
ECE634 Signals and Systems II, Spring 2009 Homework 2 Solutions Show all work and write legibly for full credit.
1. Find the inverse Laplace transforms of the following:
4s 2 + 16s + 18 a) 3 s + 5s
Bode Plot Examples: Lathi Example 4.25
Sketch Bode plots for the transfer function
H ( s) =
( s + 2 )( s + 10 )
20 s ( s + 100 )
Rearranging into Bode plot form,
s 100 s 1 + 100 H ( s) = s
Course Syllabus
ECE 634 Signals & Systems II
Spring 2009
Department of Electrical and Computer Engineering, University of New Hampshire Catalog Description: Transient response analysis of linear s
UNIVERSITY OF NEW HAMPSHIRE DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
ECE651- Electronic Design II FALL 2007
DUE DATE: Monday 17 September
Text problems: 4.1, 4.2, 4.8, 4.19, 4.20, D4.22
EC
UNIVERSITY OF NEW HAMPSHIRE DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
ECE651- Electronic Design II FALL 2007
DUE DATE: Monday 24 September
Text problems: Chapter 1: 1.39, 1.40, 1.41, 1.42, 1
UNIVERSITY OF NEW HAMPSHIRE DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
ECE651- Electronic Design II FALL 2007
DUE DATE: Friday 5 October
Text problems: Chapter 4: D4.34, D4.35, 4.42, 4.44, D4
Rules for Making Bode Plots
Term
Constant: K Real Pole:
s
0
Magnitude
20log10(|K|) Low freq. asymptote at 0 dB High freq. asymptote at -20 dB/dec Connect asymptotic lines at 0,
Phase
K>0: 0 K<0: 180
Daniel Brogan
Concept Map: Coins coins
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GRAD 971 Mar. 2007
physical properties
include include include small; large
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include
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value
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ECE634 Signals and Systems II, Spring 2009 Homework 1 Show all work and write legibly for full credit. 1. Express the following number in polar form and Cartesian form: A =
( 2 + j )(1 2 j )
1 e
j
ECE634 Signals and Systems II, Spring 2009 Homework 1 Solutions Show all work and write legibly for full credit. 1. Express the following number in polar form and Cartesian form: A =
( 2 + j )(1 2
ECE634 Signals and Systems II, Spring 2009 Homework 2 The color-codes correspond to the colors you randomly selected in class. Do the problems that match your color. Show all work and write legibly f
ECE634 Signals and Systems II, Spring 2009 - Lecture 15, February 25 4.6 System Realization Recall the Time-Integration Property For x ( t ) X ( s ) , X (s) x ( ) d s
t 0
Thus, Fig. 4.19 (Lathi)