Homework 1 - Solutions
Problem 1) The vast majority of the Fourier transform problems you will encounter in this course
for homework as well as exams need not be solved by explicitly doing the Fourier integral. In most
cases, the problems can be solved in
Homework 2 - Solutions
Problem 1) We start by writing the formal transform formula:
F[x(t)y(t)] =
Z
x(t)y(t)ej2f t dt
Now, we want X(f ) and Y (f ) in there, so we replace x(t) with the inverse transform of X() (Note,
we use instead of f as the dummy var
Rensselaer
ECSE 4520 - Communication Engineering
Exam 2 - Solutions
Problem 1) Multiple choice with four questions. For each of the following statements, choose the
single BEST option by circling it.
A) [7 points] An advantage of an ergotic wide-sense sta
EET 315: Communications Systems
Spring 2006
Homework Solution No. 02
1. Question:
In the following Wien-bridge oscillator (Fig. 1), R = 2k and C = 1000pf .
Fig. 1: Wien-bridge oscillator
(a) Determine the frequency of oscillation.
(b) Determine the phase
Course: Communication Systems
ECSE 4520 - Section 01
Fall Semester 2005
Electrical, Computer and Systems Engineering Department
Rensselaer Polytechnic Institute
Homework 5 - Due Tuesday, December 6, by the end of lecture.
Matlab Problem:
The message signa
EET 315: Communications Systems
Spring 2006
Homework Solution No. 01
1. Question:
A repeater has an input signal power of 150W and an input signal-noise ratio of 20
dB. The repeater has a gain of A and additional noise N . What relation should the
two par
Course: Communication Systems
ECSE 4520 - Section 01
Fall Semester 2005
Electrical, Computer and Systems Engineering Department
Rensselaer Polytechnic Institute
Homework 4 - Due Friday, November 4, by the end of lecture.
Problems from required text:
1. Ch
Student
N ame
-processor Final Fall16
1. How many bytes of memory can be addressed with 16 bit
address bus?
5. How do the flags change after each of the following instructions?
216 different locations can be addressed with
16 bit address bus. Then,
1st
2n
Student
N ame
-processor Midterm Fall16
1. Take the 1s and 2s complements of the numbers.
1 s complement
2 s complement
(0000 0000)2
(1111 1111)2
(0000 0000)2
(0111 1111)2
(1000 0000)2
(1000 0001)2
(1000 0000)2
(0111 1111)2
(1000 0000)2
6. Write the 32 bi
EET 315: Communications Systems
Spring 2006
Homework Solution No. 03
1. Question:
In an AM tone modulation, the frequency of baseband signal is 10 kHz. The sinusoidal
carrier has a frequency of 500 kHz and amplitude of 20 V. The modulated signal has
a cha
EET 315: Communications Systems
Spring 2006
Homework No. 03
1. Question:
In an AM tone modulation, the frequency of baseband signal is 10 kHz. The sinusoidal
carrier has a frequency of 500 kHz and amplitude of 20 V. The modulated signal has
a change of 7.
ELM361 Analog Communication Systems
Homework #3
Due: 24.12.2013
1. The message signal m(t )
0.1t ,
0 t 0.05 s
modulates the carrier c(t )
0.1t , 0.05 t 0.1 s
using an FM scheme. It is assumed that f c
a)
b)
c)
d)
200 Hz and frequency sensitivity k f
cos 2
ELM361 Analog Communication Systems
Homework #2
Due: 26.11.2013
1. Block diagram of a square law modulator is given as follows:
v1 (t )
v2 (t )
v1 (t )
v1 (t )
If the input signal v1 (t )
message signal m(t )
c(t )
1 2
v1 (t )
2
v2 (t )
v1 (t )
v3 (t )
BP
ELM 322, Control Systems
Control Systems
Spring 2015
Dr. Erkan Zergerolu
202 Computer Engineering Department
Email: [email protected]
CLASS TIME: See the Schedule
OFFICE HOURS: To be announced.
Introduction to Control Systems
A control system is
Root Locus
This lecture we will learn
What is root locus
How to sketch root-locus
How to determine the closed loop poles via root locus
How to use root locus to describe the transient
response, and stability of a system as a system
parameter is varied
Roo
Block Diagram Representation
This lecture we will concentrate on
Representing system components with block diagrams
Analyze and design transient response for systems
consisting of multiple subsystems
Reduce a block diagram of multiple systems to a single
Stability
This lecture we will concentrate on
How to determine the stability of a system represented as
a transfer function
How to determine the stability of a system represented in
state-space
How to determine system parameters to yield stability
Definit
Frequency Response Analysis
Consider
let the input be in the form
Assume that the system is stable and the steady state
response of the system to a sinusoidal inputdoes not
depend on the initial conditions
We have
PFE
yields
Complex
conjugate of
Inverse L
Modeling
This lecture we will consentrate on how to do system
modeling based on two commonly used techniques
In frequency domain using Transfer Function (TF)
representation
In time domain via using State Space representation
Transition between the TF to S
Time Response
After the engineer obtains a mathematical representation
of a subsystem, the subsystem is analyzed for its transient
and steadystate responses to see if these characteristics
yield the desired behavior.
This section is devoted to the analysi
Lead Compensator
Design Example :
For the system with the following block diagram
representation
Find
so that the dominant closed loop poles are at
Solution : Start with
Compensator design with
is not sufficient
However if the compensator is in the form
w
Nyquist Plots / Nyquist Stability Criterion
Given
Nyquist plot is a polar plot for
vs
using the Nyquist contour (K=1 is assumed)
Applying the Nyquist criterion to the Nyquist plot we can
determine the stability of the closed-loop system.
Nyquist Criterion
Root Locus : Design
Design Example :
The differential equation of a DC motor is given by
Motor speed
Applied voltage
Determining the parameters and inserting their actual
values we have
The transfer function representing the system is then
Which correspon
Attia, John Okyere. Control Statements . Electronics and Circuit Analysis using MATLAB. Ed. John Okyere Attia Boca Raton: CRC Press LLC, 1999
1999 by CRC PRESS LLC
CHAPTER THREE CONTROL STATEMENTS 3.1 FOR LOOPS
FOR loops allow a statement or group of sta
Attia, John Okyere. DC Analysis. Electronics and Circuit Analysis using MATLAB. Ed. John Okyere Attia Boca Raton: CRC Press LLC, 1999
1999 by CRC PRESS LLC
CHAPTER FOUR DC ANALYSIS 4.1 NODAL ANALYSIS
Kirchhoffs current law states that for any electrical
Attia, John Okyere. Diodes. Electronics and Circuit Analysis using MATLAB. Ed. John Okyere Attia Boca Raton: CRC Press LLC, 1999
1999 by CRC PRESS LLC
CHAPTER NINE DIODES In this chapter, the characteristics of diodes are presented. Diode circuit analysi