Random Signals for Communications and Signal Processing
EE 416

Fall 2015
EE 416 Homework Assignment 1 Revised
1. (20 points)
(a) Let A, B be events. Draw a Venn diagram that illustrates P (A B) =
P (A) + P (B) P (A B)? How does this equation simplify when (i) A and
B are disjoint or (ii) when A and B are independent. For arbit
Random Signals for Communications and Signal Processing
EE 416

Fall 2009
c 2008 James A. Ritcey, UWEE 416
1
EE 416 Homework Assignment 1
DUE: Next Wednesday. Always include matlab printout on white and not black background.
1. Let A, B be nite sets. Which is smaller in cardinality: A B or A B? When are they
equal?
2. If P (A)
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
EE416 2011 Fall
Xiang Zou
November 7, 2011
Here are some problems covered in todays review session.
1.
Random variables Y is linear depending on another random variable X, or Y = aX + b.
And X is normal distributed with mean and variance 2 . What is the j
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
EE 416
Final Exam, Fall 2014
Monday Dec. 8, 2014
8:3010:20am
Closed Book, in Class Exam
Name :
Student Number: :
1. Problem 1:
2. Problem 2:
3. Problem 3:
4. Problem 4:
Score:
Instructions:
110 minutes, Closed Book, 4 pages personal notes, back and front
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
\
pisllg WHAWMLOIB 56I®\an
~
1. (10 points) [Discrete RVs]
A fading channel can be put into one of two Groups, Urban 07‘ Rural. The SNR of the
channel depends on the group, and is either Low 07" Medium 07‘ High.
We know that
PI Low I Rural] = 0.6 P[ M
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
EE 416
Final Exam, Fall 2015
Monday Nov 9, 2015
10:30 AM 12:20 PM
Closed Book, in Class
Name :
Student Number: :
1. Problem 1:
2. Problem 2:
3. Problem 3:
4. Problem 4:
5. Problem 5:
6. Problem 6:
Score:
Instructions:
110 minutes, Closed Book, 4 pages pe
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
close all; clear all; clc;
T=1000; % number of trials
D=365; % number of possible birthdays
P=30; % max number of people
for t=1:T
for p=1:P
birthdays= 1+floor(rand(p,1).*D); % generate birthdays
num_unique = length(unique(birthdays);
num_next1 =lengt
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
function HW5Nhist(T);
% function HW5Nhist(T);
% T iid Normal
sqrt2=sqrt(2);
mu=6;sig2=2;Nbins=25;
sig1=sqrt(sig2);
x=randn(T,1);x=mu+sig1*x;
Nsigs = 5;Xend = mu +sig1*[Nsigs,+Nsigs];
Xend
[xKnt, outKnt,xCenter,xDelta] = myHistc(x,Nbins, Xend);
% keep o
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
EE 416 Homework 1, Fall 2013
1. (20 points)
Let A, B be finite sets. Which is smaller in cardinality: AB or AB? When are they equal?
Solution:
AB is usually smaller than AB, as shown in Fig 1.1. And AB equals to AB when A equals to B.
a. Solve for special
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
EE 416
Final Exam, Fall 2013
Monday Dec. 9, 2013
8:3010:20am
Closed Book, in Class
Name :
Student Number: :
1. Problem 1:
2. Problem 2:
3. Problem 3:
4. Problem 4:
5. Problem 5:
6. Problem 6:
Score:
Instructions:
110 minutes, Closed Book, 4 pages persona
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
EE 416
Final Exam, Fall 2011
Monday Dec. 12, 2011
8:3010:20am
Closed Book, in Class
Name (Last, First):
1. Problem 1:
2. Problem 2:
3. Problem 3:
4. Problem 4:
5. Problem 5:
6. Problem 6:
Score:
Instructions:
110 minutes, Closed Book, 6 pages personal no
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
Designing MMSE Filters for Interference Rejection
Professor James A. Ritcey
Department of Electrical Engineering
University of Washington
ritcey@ee.washington.edu
November 21,2014
1
Introduction
Background A desired lowpass signal, highpass interference
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
PDF [XI IX! ‘
lx‘(121)'
the node comes online at an
minty that the ﬁrst ma.
: 0.01 is a “mall inm'
amt
I I)? M h
.T‘
_ i
r ‘.
 t “r rat“V
. j It f .‘
.A ——‘ :
. 'E‘_' .5": Jun' random Mi Wi‘h “ability I [3. What is the (uncondit
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
110 CHAPTER 1
3.63 In a simple detection scheme, the received signal is X = A‘iHJ'~ $110.". it ix gm.“
that A is the desired signal of magnitude 9 V01“ and ‘1‘" "0‘5" "“ "il‘mnlv
distributed in the range —5 to 5. A detection probability, pd. of 099 is
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
1
EE 416
Communications I: Random Signals
University of Washington Electrical Engineering Dept
Fall Quarter 2013
Contact
Professor James A Ritcey ritcey@ee.washington.edu or jar7@uw.edu
Teaching Assistant Shae Hurst shaeh@uw.edu
Always send email to both
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
EE 416
Final Exam , Autumn 2005
Tuesday Dec 13, 2005,
4:306:20pm
Name (Last, First):
1. Problem 1:
2. Problem 2:
3. Problem 3:
4. Problem 4:
5. Problem 5:
6. Problem 6:
7. Problem 7:
Final Score:
Instructions:
Boldface type (mostly) indicates a RV, x, t
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
EE 416 Problem Assignment 6
Due Wednesday
1. You should review matrix algebra for this portion of the course.
2. Review the denitions of mean,variance, second moment or power, covariance, and correlation.
3. Three statistically independent random variable
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
a
E/éllﬂo Minnie/M Sondhonr
FALLZOM
l. (20 points).
302 u‘lf' PM» F
‘ S
,1:
Discrete RV
A fading channel can be put into one of three Channel Classes, Urban, Suburban, 01"
Rural. The SNR of the channel depends on the class, and is either Low or High.
We
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
EE 416 2013 HW 3. Due Wednesday inclass or at the TA oce Hours
1. Consider the joint probability table given below.
P (x, y)
x = 1
x=0
x = +1
y = 1 y = 0 y = +1
.11
.01
.11
.15
.13
.12
.10
.15
.12
a) Find the marginal distributions. Are the RVs x and y i
Random Signals for Communications and Signal Processing
EE 416

Fall 2015
function BirthdayProbSim2(T,D,P,d);
% function BirthdayProbSim(T,D,P,d);
%Simulates the birthday problem with
%T trials D days People and d day tolerance 0,1,2,.
kntME = 0;
for t = [1:T];
p = 1+floor(D*rand(P,1);%random draw of people
ps = sort(p);Diff
Random Signals for Communications and Signal Processing
EE 416

Fall 2009
Machine Problem 6
Python script
Figure 1 shows the python script used to extract the logic delay and the net delay from
files. The logic delay average and the net delay average of all benchmarks are calculated.
The script is also submitted as a python fil
Random Signals for Communications and Signal Processing
EE 416

Fall 2009
Machine Problem 2
In this machine problem, I drew an S^2CFF flip flop schematic in Virtuoso and ran HSPICE
Circuit simulator to see the results. I followed steps on the machine problem specification. The
flip flop schematic is shown in the following figur
Random Signals for Communications and Signal Processing
EE 416

Fall 2009
Machine Problem 7
System Verilog code for the DFF
module D_FF (q, qbar, d, reset, clk);
output q, qbar;
input d, reset, clk;
reg q, qbar;
always @(posedge clk)
if (reset)
begin
q <= 0;
qbar <= 1;
end
else
begin
q <= d;
qbar <= !d;
end
endmodule
Testbench
Random Signals for Communications and Signal Processing
EE 416

Fall 2009
EE 418 Problem Set: 4
Phillip Lee
Network Security Lab (NSL)
EE Department
University of \Nashington, Seattle, WA 981952509
Email: LEEP3UW.EDU
Assigned: Nov. 30, 2015; Due: Dec. 6 (Sunday), 2015
Useful theorem Theorem 1: if a divides m, then a*b1 E a*b2