Solution for HW02
4.1
Fourier transform calculated directly:
F [(t t0 )] =
=e
=e
(t t0 )ej2f t dt
j2f t
|t=t0
j2f t0
.
The second step holds since (t t0 ) is zeros everywhere except at t0 . Using the
ECE 3311: Principles of Communication Systems
Homework 2: Due at start of class on 12-Nov.
B-term 2013
Problems From Text
1. 4.1. In addition, calculate the magnitude and phase response from the Fouri
2
Solution for HW01
2.5
Start with the equation (2.5):
R(f ) = F cfw_r(t) = F cfw_s(t) cos(2f1 t)
1
= F cfw_s(t)[ (ej2f1 t + ej2f1 t )]
2
+
1
s(t)[ (ej2f1 t + ej2f1 t )]ej2f t dt
=
2
1
1 +
s(t)ej2(f f
ECE 3311: Principles of Communication Systems
Quiz #2
2:002:25 PM, November 14, 2012
Name:
Instructions:
Do not open this quiz until you are instructed to do so.
This quiz is closed book, but you
ECE3311 Principles of Communication
Systems
Lecture 08 Intersymbol Interference
Alexander M. Wyglinski, Ph.D.
An Ideal World
Until now waveforms have been rectangular
Easy to sample
Cleanly fits du
ECE3311 Principles of Communication
Systems
Lecture 09 Nyquist Filters
Alexander M. Wyglinski, Ph.D.
Target Equivalent Transfer Function
We want the following:
he (kTs + ) =
(
C, k = 0
0,
k 6= 0
(1)
w
ECE3311 Principles of Communication
Systems
Lecture 01 Anatomy of a Communication System
Alexander M. Wyglinski, Ph.D.
What Is A Communication System?
Information Source
Conversion to EM Signal
Transm
ECE3311 Principles of Communication
Systems
Lecture 07 Eye Diagrams & Bit Sync
Alexander M. Wyglinski, Ph.D.
Simple Pulse Shaping Ideal
% Generate random polar data
d = 2.*round(rand(1,10)-1;
% Define
ECE3311 Principles of Communication
Systems
Lecture 03 Power Spectral Density & Linear Systems
Alexander M. Wyglinski, Ph.D.
Power Spectral Density
Normalized power of waveform related to frequency do
ECE3311 Principles of Communication
Systems
Lecture 04 PAM & PCM
Alexander M. Wyglinski, Ph.D.
Naturally Sampled PAM
Given analog waveform w (t) of bandwidth B hz, we get naturally
sampled PAM signal
ECE 3311: Principles of Communication Systems
Homework 4: Due at start of class on 26-Nov.
B-term 2013
Problems From Text
1. 8.4
2. 8.6
3. 8.7
4. 8.9
5. 8.13
6. 8.14
7. 9.6 (a) and (b)
Problem 8: Fami
HW04 solution
8.4
Below is the code for this problem:
% p u l s e s h a p e 0 .m: a p p l y i n g a p u l s e shape t o a t e x t
s t r= Transmit this text string ; % message t o be t r a n s m i t t
6
Sampling with Automatic Gain
Control
6.1
According to Nyquist Sampling Theorem, the sampling rate must be highter
than or equal to twice the maximum frequency of the analog signal so that the
origin
ECE3311 Principles of Communication
Systems
Lecture 10 Bandpass Waveforms
Alexander M. Wyglinski, Ph.D.
Baseband Versus Bandpass
Definitions:
Baseband: Waveform is spectrally located around 0 Hz, a.k
ECE3311 Principles of Communication
Systems
Lecture 02 Fourier Transforms Overview
Alexander M. Wyglinski, Ph.D.
Definition
The Fourier Transform (FT) of a waveform x(t) is given by:
+
Z
X (f ) = F [x
ECE3311 Principles of Communication
Systems
Lecture 05 Digital Signaling
Alexander M. Wyglinski, Ph.D.
Signal Representation
Analog waveforms cab be represented as:
w (t) =
N
X
wk k (t), 0 < t < T0
(1
ECE3311 Principles of Communication
Systems
Lecture 06 Line Coding
Alexander M. Wyglinski, Ph.D.
Binary Line Codes
Several available waveforms:
Unipolar
Polar
Bipolar (Pseudoternary)
Manchester
Wa
10 HW05 solution
10.2
Using freqz command, you will see both the frequency and phase response. From
the gure, we can read the phase response at the desired location. In our case,
it is 2fc normalized