Singh, Daljit ECE 315 Matlab #4b
Random Process #1
A Continuous Random Process 1 0.5 0 -0.5 y1 y2 y3 y4
-1
0
2
4
6 Time
8
10
12
14
RV average #2
Mean of the Random Variable 0.5
0
-0.5
0
2
4
6 Time
8
10
12
14
Mean of the Random V
EXAM 1
Name: Jasen Shorter Start time: April 9, 2007 2:38am Time allowed: 48 hours Number of questions: 5 Finish Help
TO GET FULL CREDIT FOR A PROBLEM YOU MUST SHOW ALL THE WORK TO GET THE ANSWER. IF YOU GIVE ME JUST THE ANSWER I WILL GIVE YOU ONLY
CALIFORNIA STATE POLYTECHNIC UNIVERSITY, POMONA
COLLEGE OF ENGINEERING
ECE 315
Spring 2004
Instructor: Dr. T. Ketseoglou
HW #1
Problems 1-4.3, 1-4.5, 1-4.8, 1-7.1, 1-7.5, 1-7.8. Due one week from today.
Problem#4- the answer to both the different versions is the same
Please change the wording
The autocorrelation is given by:
Rxx(u )
w(t) * w(t u)du =4*(width of the overlap)
if a constant is autocorrelated it returns c^2
in this case if the signal shift
Figure 4c-1 Initial Display of pbrv4c.p
Figure 4c-2 Display of the Random Process #1
Figure 4c-3 Display of the RV Autocorrelation
Figure 4c-4 Display of the Time Autocorrelation
Figure 4c-4 Display of the Power Spectrum
The maximum value is supposed to o
Z. Yu
1
ECE 315: Probability, Statistics, and Random
Processes for Electrical and Computer Engineering
Homework Assignment 7
Due Thursday, 10 November
1. In the book, there is this theorem that states if Y = aX, with a > 0, then CDF FY(y) =
FX(y/a) and PD
Z. Yu
1
ECE 315: Probability, Statistics, and Random
Processes for Electrical and Computer Engineering
Homework Assignment 5
Due Thursday, 27 October
1. You roll a die repeatedly. Starting with roll I = 1, let Ri denote the result of roll i. If Ri > i,
yo
Z. Yu
1
ECE 315: Probability, Statistics, and Random
Processes for Electrical and Computer Engineering
Homework Assignment 2
Due Thursday, 6 October
1. (a) Calculate the probabilities of the sum equal to 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12
for two dice
YOGESH B ASUDANI
ASSIGNMENT # 2b
PBRV2B
UNIFORM TIME
Uniform Time with A= 0
Uniform Time with A= 2 and B = 4
Uniform time With A = 3 and B = 5
Uniform Time with A = 5 and B = 5
UNIFORM HISTOGRAM
Uniform Histogram with A =0
Uniform Histogram with A = 2 and
1.look at page 188 Peebles book
X(t)=A sin(w0*t),
E[ X (t )] E ( A sin( wo t ) sin( wo t ) * E ( A)
because only A is the random variable.
Where for a uniform random variable:
E( X )
a b 0.5 0.5
0
2
2
so E[X(t)]=sin(w0*t)*(0)=0
2.
the formula for the aut
Figure 1a Start up Screen for PBRV2a
Figure 2a-1 Initial Display of the Binomial Theoretical
Density and Distribution Functions.
Figure 2a-2 Display after p=0.5 and np=1
This is like the basic probability example in which the probability of getting either
Unit 4c
This is the third and final part of the Unit 4 Matlab Assignment. In this part of the
assignment we talk about the Power Spectral Density (PSD). The PSD is Fourier
transform of a Autocorrelation function. Sense the autocorrelation function that we
UNIT 4b
In this part of the unit we are going to revisit the three Random Processes from Unit 4a,
and discuss the concepts of STATIONARITY AND ERGODICITY.
Figure 4b-1
The initial figure of PBRV4b.p
Now push the Random Process #1 button
This is the same RP
Unit 4a
In this unit we are working with the idea of a Random Process, and if the process is
stationary, and ergodic. In the MATLAB PBRV4a.p file we see examples of three
random processes. In MATLAB PBRV4b.p we see examples of two processes which are
stat
Unit 5a
In this unit we will look it a sample function from a continuous-time (CT) WSS Ergodic
random process, simple linear time-invariant (LTI) system, and the output sample
function.
Figure 5a-1
The initial figure for Unit 5a
Now push the CT Signals bu
You will need to type these equations in Yogi.i am not sure if these numbers are
right but I calculated them to the best of my knowledge)I have also attached the
excel file for the midterm, it has the calculations in it.
In this case the weight is the dep
Kevin Figuracion
ECE 315
MATLAB 2
MATLAB 2A
BINOMIAL
The figure above displays the plot of the theoretical density and distribution functions for a
Binomial random variable.
Changing p to 0.5 and np to 1 gives the figure below
This could be described as a
Quiz 3t
Question 1
(5 points)
What is the standard error for a sample mean?
Student response: Standard Error for sample mean,(SE)=Standard Deviation(SD)s/sqrt(n); s is given as the SD
of the sample mean; derived from the Standard Error = sigma/sqrt(n); si
Z. Yu
1
ECE 315: Probability, Statistics, and Random
Processes for Electrical and Computer Engineering
Homework Assignment 4
Due Thursday, 20 October
1. Consider the sample space S = cfw_-1, 0, 1, 2, 3 of 5 elements. For an event E S, we know
that P (E) =
Z. Yu
1
ECE 315: Probability, Statistics, and Random
Processes for Electrical and Computer Engineering
Homework Assignment 3
Due Thursday, 13 October
1. Suppose in California, the probability of a sunny day is 0.9 and the probability of a rainy
day is 0.1
Z. Yu
1
ECE 315: Probability, Statistics, and Random
Processes for Electrical and Computer Engineering
Homework Assignment 1
Due Thursday, 29 September
1. Professor A teaches ECE 397 with 40 students, ECE 398 with 50 students. There are 15
students taking
ECE315 Final
Name: _
Date: 8/31/15, Monday, 9:00 a.m. 11:00 a.m.
Total Points: 150 points
Total Grade Points: 30 grade points
Derived Random Variable (10%) (as in chapter 3)
1. (10%) Let X be the uniform distribution on [-3, 1] (as Example 3.26 on page 13
California State Polytechnic University, Pomona
ECE 315 Midterm Exam
Fall 2014
Dr. T. Ketseoglou
1. Problem 1: X is a Poisson r.v. with rate of 3 per hour, following the Poisson
arrival process.
(a) Find the probability of no arrivals during a 10 hour int
ECE315: Introduction to Probability and Statistics for
Electrical Engineers
Thomas Ketseoglou
Electrical and Computer Engineering
CalPoly Pomona
August 21, 2012
Ketseoglou (ECE315 #9)
ECE315: Introduction to Probability and Statistics for Electrical Engin
California State Polytechnic University, Pomona
ECE 315 Midterm Exam
Fall 2013
Dr. T. Ketseoglou
1. Problem: X is a geometric r.v. with p = 0.9. Lets denote by X the number of
transmissions for a packet success using ARQ, for example. Find:
(a) FX (5) .
(
California State Polytechnic University, Pomona
ECE 315 Midterm Exam
Fall 2012
Dr. T. Ketseoglou
1. Problem 1: X is a Poisson r.v. with rate of 3 per hour, following the
Poisson arrival process.
(a) Find the probability of no arrivals during a 10 hour int
ECE315: Introduction to Probability and Statistics for
Electrical Engineers
Thomas Ketseoglou
Electrical and Computer Engineering
CalPoly Pomona
January 31, 2012
Ketseoglou (ECE315 #5)
ECE315: Introduction to Probability and Statistics for Electrical Engi
ECE315: Introduction to Probability and Statistics for
Electrical Engineers
Thomas Ketseoglou
Electrical and Computer Engineering
CalPoly Pomona
August 21, 2012
Ketseoglou (ECE315 #10)
ECE315: Introduction to Probability and Statistics for Electrical Engi
ECE315: Introduction to Probability and Statistics for
Electrical Engineers
Thomas Ketseoglou
Electrical and Computer Engineering
CalPoly Pomona
February 10, 2012
Ketseoglou (ECE315 #6)
ECE315: Introduction to Probability and Statistics for Electrical Eng