NAME_SOLUTIONS_
EEE 304
HW 1
Problem 1:
Consider the filter with impulse response h(t ) = e
3 t
u (t 1) .
1. Find the transfer function
2. Find the Laplace transform of the output when x(t )
= sin(t )u (t )
3. Find the output by taking the inverse Laplace
EEE 304
HW 3
SOLUTIONS
Problem 1:
Do Problems 7.30, 7.31, 7.41 from the textbook.
7.30
The impulse response is the inverse Laplace of the transfer function:
1
1
x (s) =
s +1
s +1
t
yc (t ) = e u (t )
yc ( s ) =
y ( n) = e nT u ( nT ) = n u ( n), = e T
z
EEE 304
Homework 2
SOLUTIONS
Problem 1:
Consider the following systems:
1. Transfer function H ( s ) =
s 1
(Continuous time, causal)
( s + 2)( s + 1)
2. Transfer function H ( z ) =
0.04113 z 2  0.004329 z  0.04545
(Discrete time, causal)
z 2  1.723 z +
EEE 304
HW 5
SOLUTIONS
Problem 1:
For the feedback system shown below, compute the transfer functions u/d, e/r, y/d.
d
r
+
e
C(s)
u
P(s)
+
y

u(s)
CP
=
,
d ( s ) 1 + CP
e( s )
1
=
,
r ( s ) 1 + PC
y ( s)
P
=
d ( s ) 1 + PC
Problem 2: (Low Bandwidth Cont
EEE 304 Lab 1
Basic Speech Processing using LabVIEW
1. Introduction
This lab introduces some fundamental concepts in National Instruments LabVIEW,
through a simple programming example. LabVIEW stands for Laboratory Virtual Instrument
Engineering Workbench
EEE304 Lab 1 Answer Sheet
Name:
Date:
Lab Description
Write a paragraph explaining what you have learned from this lab exercise.
Task 1
Using the t command, design an analog lowpass filter with cutoff frequency 8 kHz. You may choose any order of
the tran
EEE 304 WEEK 4 PRACTICE PROBLEM SOLUTIONS
Problem 1:
Consider the transfer functions
1
4 2 + 2 + 1
Determine their FE and BE equivalents for T = 1. Use MATLAB (if available) to find the
amplitude of the worst case difference between the two. (Its interpre
EEE 304: WEEK 5 PRACTICE PROBLEMS SOLUTIONS
Problem 1:
For the feedback system shown below, compute the transfer functions e/d, x/r. What are the
steadystate values of e/x for a constant d/r, and when do they approach 0 asymptotically as t
goes to infini
EEE 304: WEEK 6 PRACTICE PROBLEMS SOLUTIONS
Problem 1:
A system is to be controlled using integral action to remove constant offsets. The system is described by
the approximate relationship y(t) = 3x(t), where x, y are the input and output respectively. S
Linear Algebra MAT342:
Solution HW 3
September 20, 2013
1
Section 1.3
Ex. 17)
We have:
"
1 0
1
#"
a11 a12
0
b
#
=
"
a11
a12
a21 a12 + b
#
Thus, in order to obtain the matrix A, we need to have: a12 + b = a22 . Hence:
b = a22 a12 .
2
Section 1.4
Ex. 1)
a)
Linear Algebra MAT342:
Solution HW 2
September 9, 2013
1
Section 1.2
Ex. 6)
a) (0, 1)
3 5
1 1
b) cfw_ , , , 3 with real
4 8
4 8
c) cfw_0, , with , real
1
4
d) cfw_ , 0, , with real.
3
3
Ex. 9)
a) The linear system cannot be inconsistent since (0, 0, 0)
EEE 304, HW4
Problem 1:
Consider the transfer functions
1
1
,
()
=
3 2 4 + 2
3 2 4 + 2
Determine their Tustin and FE equivalents for T = 0.1 (DT and CT respectively).
Comment on the frequency range that the frequency responses are expected to match and ve
Name: Zijie Li
Class and Lab No.: EEE 304 Lab 1
Submission Date: 02/05/2016
1, Provide steps for the following: Create two string controls and change their caption to
Username and Password respectively. Change the display style of the second control to Pa
EEE 304: WEEK 3 PRACTICE PROBLEMS SOLUTIONS
Problem 1:
Estimate the largest sampling interval Ts to allow perfect reconstruction of the signals (x*y
denotes convolution)
sin 2 2t
sin 3t Using the shortcuts, = 4 + 4 + 6 = 14 < 7
2
t
sin 2t
2.
* sin 3t = mi
EEE 304, HW5
Problem 1:
For the feedback system shown below, compute the transfer functions y/d, x/d. What are the
steadystate values for a constant d and when do they approach 0 asymptotically as t goes to
infinity?
d
r
+
e
C(s)
x
+
P(s)
y
_
()
=
,
+ (
EEE 304, HW3
Problem 1:
Estimate the largest sampling interval Ts to allow perfect reconstruction of the signals (x*y
denotes convolution)
1.
2.
3.
sin3 3
+ sin 2
sin3 3
4
sin3 3
2
sin 3
+ sin 2
sin 2
4. sin2 2
Using the shortcuts, (conservative estimate
EEE304: Lab 1 Key
Task 1, 2, 3 and 5: MATLAB code
%
Lab 1 Answer key
% Task 1
%
close all ;
clear all ;
clc
%
% a) Example: L3rd order LPF
cutFreq = 8e3
cutRad = 2*pi*cutFreq
%
% In order to have dc gain of 1, the tf of the filter should look like
%
% $fi
EEE 304: WEEK 1 PRACTICE PROBLEM SOLUTIONS
Problem 1:
Consider the filter with impulse response h(t )
= e 2t u (t 2) .
1. Find the transfer function
2. Find the Laplace transform of the output when x (t )
= sin(t )u (t )
3. Find the output by taking the i
EEE 304 Lab Exercise 1: Introduction to MATLAB and SIMULINK
1. Introduction to MATLAB
MATLAB is a highlevel technical computing language and interactive environment for algorithm
development, data visualization, data analysis, and numeric computation. Us
EEE 304: WEEK 3 PRACTICE PROBLEMS
Problem 1:
Estimate the largest sampling interval Ts to allow perfect reconstruction of the signals (x*y
denotes convolution)
sin 2 2t
sin 3t
t2
sin 2t
2.
* sin 3t
t2
sin 3t sin 2t
3.
2t
2t
1.
4.
sin 3t
* sin 2t
t
Problem
Name:Zijie Li
Class:EEE304
LAB5
Answer: C(s)P(s)=pi+. Because the target phase angle is 70deg, K+(Tjwo+1)+ (1/(jwo)+
(1/(jwo+1)=110
deg.
From
the
equationC(s)*P(s)=1,
we
can
get
that:
=K*sqrt(T^2*wo^2+1)/wo^2)=K*sqrt(T^2+1)=1
K can be solved from the
Name: Zijie Li
Class and Lab No: EEE 304 Lab 3
Submission Date: 03/18/2016
Assignment 1
1. To check the aliasing effects for sine waveform, fix the sampling frequency = 2000Hz and
change the input frequency from minimum to maximum. Observe the aliased and
Chapter 11 Answers
mamwlmx‘tu'ﬁ .
The system shown in Figure P1l.1 may be looked at as a parallel interconnection of the
11.3(b). me Section 10.8.1 we know that the feedback system has a closed—loop system
function 62(2) given by
uunemsa. . .
_ H10?)
Q”)
Spring 2014
EEE 304: Signals and Systems II
Note 2
Chapter 2: Linear TimeInvariant Systems
FengLi Lian 2011
Outline
DiscreteTime Linear TimeInvariant Systems
The convolution sum
ContinuousTime Linear TimeInvariant Systems
The convolution integra
Spring 2014
EEE 304:Signals and Systems II
Note 1
Chapter 1: Signals and Systems
Adapted from the lecture notes of Prof. Fengli Lian at [email protected] Taiwan University
Outline
Introduction
ContinuousTime & DiscreteTime Signals
Transformations of the I
Name: Zijie Li
Class and Lab No: EEE304 Lab4
Submission Date:04/08/2016
Assignment1
1. (Effect of carrier frequency in modulation) First of all, fix the message frequency (20 Hz) and
start changing the carrier frequency from 100Hz to 300Hz. What do you ob
Name: Zijie Li
Class and Lab No: EEE 304 Lab 2
Submission Date: 02/26/2016
Assignment 1
1. The transfer function provided in Exercise 1 represents a low pass system. How can you
justify this from the results of the continuous system? Is the corresponding
Assignment 1
1.
The bode magnitude plot clearly shows a LP Filter of a continuous signal. The Frequency Response, being
the response of the discrete signal also shows a LP filter.
Low Pass Filter (Cutoff frequency = 1 Hz)
2.
High Pass Filter (Cutoff fre