ECE531 Homework Assignment Number 3
Due by 8:50pm on Wednesday 16-Feb-2011
Make sure your reasoning and work are clear to receive full credit for each problem.
1. 4 points. Specify the N-P decision rule and probability of detection for the following hypot
ECE531 Homework Assignment Number 3 Solution
Due by 8:50pm on Wednesday 16-Feb-2011
Make sure your reasoning and work are clear to receive full credit for each problem.
1. 4 points. Specify the N-P decision rule and probability of detection for the follow
ECE531 Homework Assignment Number 4
Due by 8:50pm on Wednesday 23-Feb-2011
Make sure your reasoning and work are clear to receive full credit for each problem.
1. 5 points total. Suppose you have a communication system in which two signals are transmitted
ECE531 Homework Assignment Number 4 Solution
Due by 8:50pm on Wednesday 23-Feb-2011
Make sure your reasoning and work are clear to receive full credit for each problem.
1. 5 points total. Suppose you have a communication system in which two signals are tr
ECE531 Homework Assignment Number 2
Due by 8:50pm on Wednesday 2-Feb-2011
Make sure your reasoning and work are clear to receive full credit for each problem.
1. 14 points. Suppose you work in a microprocessor manufacturing facility and that, before boxin
Minimax Hypothesis Testing
ECE531 Lecture 3: Minimax Hypothesis Testing
D. Richard Brown III
Worcester Polytechnic Institute
05-February-2009
Worcester Polytechnic Institute
D. Richard Brown III
05-February-2009
1 / 21
Minimax Hypothesis Testing
Simple Bi
ECE531: Course Introduction
ECE531: Principles of Detection and Estimation Course Introduction
D. Richard Brown III
WPI
22-January-2009
WPI
D. Richard Brown III
22-January-2009
1 / 37
ECE531: Course Introduction
Lecture 1 Major Topics 1. 2. 3. 4. 5. 6. We
A Mathematical Model for Hypothesis Testing
ECE531 Lecture 2a: A Mathematical Model for Hypothesis Testing
D. Richard Brown III
Worcester Polytechnic Institute
29-January-2009
Worcester Polytechnic Institute
D. Richard Brown III
29-January-2009
1 / 32
A M
ECE531 Lecture 4a: Neyman-Pearson Hypothesis Testing
ECE531 Lecture 4a: Neyman-Pearson Hypothesis Testing
D. Richard Brown III
Worcester Polytechnic Institute
12-February-2009
Worcester Polytechnic Institute
D. Richard Brown III
12-February-2009
1 / 30
EC
ECE531 Lecture 6: Parametric Detection
ECE531 Lecture 6: Detection of Discrete-Time Signals with Random Parameters
D. Richard Brown III
Worcester Polytechnic Institute
26-February-2009
Worcester Polytechnic Institute
D. Richard Brown III
26-February-2009
ECE531 Lecture 5: Composite Hypothesis Testing
ECE531 Lecture 5: Composite Hypothesis Testing
D. Richard Brown III
Worcester Polytechnic Institute
19-February-2009
Worcester Polytechnic Institute
D. Richard Brown III
19-February-2009
1 / 44
ECE531 Lecture
ECE531 Spring 2009 Final Examination
Instructions: This exam is worth a total of 500 points. You may consult two double-sided lettersized sheets of notes (in your own handwriting) and you may use a calculator during the exam. Please show your work on each
ECE531 Spring 2009 Midterm Examination
Instructions: This exam is worth a total of 340 points. You may consult one double-sized lettersized sheet of notes (in your own handwriting) and you may use a calculator during the exam. Please show your work on eac
ECE 533]
Midi-arm exgmn SolWHDn
Spring 2007 PWQ em L .'
(L) This is a S'Implt Wan/wry HT \wbbem.
0) S+Q+S . Ixo :- [/3 0001 n
X! = IdeFea-Hx/e
u H
ODSrvbA'ia-ms ; 90 7- grem
I! \4
£61, = x/ellow
1 \\
14; =
COnoUhrMch Als-Yvibud'léw: :
P w
ECE531 Homework Assignment Number 5
Solution
Make sure your reasoning and work are clear to receive full credit for each problem. 1. 4 points. Poor textbook Chapter II, Problem 13. Solution: Since this is a binary composite HT problem, we want to find a B
ECE531 Homework Assignment Number 1 Solution
1. 4 points. You are given an urn containing one ball, known to be either black or white with equal probability. You drop in a white ball, shake the urn, and remove a white ball. What is the probability that th
ECE531 Homework Assignment Number 4
Solution
Make sure your reasoning and work are clear to receive full credit for each problem. 1. 4 points. Consider our standard coin ipping problem where you have an unknown coin, either fair (HT) or double headed (HH)
ECE531 Spring 2011 Final Examination
Instructions: This exam is worth a total of 500 points. You may consult two double-sided lettersized sheets of notes (in your own handwriting) and you may use a calculator during the exam.
Please show your work on each
ECE531 Homework Assignment Number 1
Due by 8:50pm on Wednesday 26-Jan-2011
Make sure your reasoning and work are clear to receive full credit for each problem.
1. 2 points. Suppose that a game of basketball is played between two slightly-mismatched teams.
ECE531 Spring 2013 Quiz 4
Your Name: 9° L-IA TI ON
Instructions: This quiz is worth a total of 100 points. The quiz is open book and open notes.
You may also use a calculator. You may not use a computer, phone, or tablet. Please show your
work on each p
ECE531 Spring 2013 Quiz 1
Your Name: 8 o LIA-n o M
Instructions: This quiz is worth a total of 100 points. The quiz is open book and open notes.
You may also use a calculator. You may not use a computer, phone, or tablet. Please show your
work on each p
1L.
sPr;n9 n EXAM
MN
(m) REP: Pr.lo(d-ec§oL¢ 'Hl l'x:xo=l>
P"°5(Z<Ji 17:!)1- Prub (27) l'x:\)
'/2
:- SL+2342 + O
u I
A I
.. q _ __
_ a} _ m
D
9(1): Pmb<d~cid~e H-l lax)
= Prob(z<zjx) +Pmb(z>l lac)
Need +0 constdajr. 3 Caq¢sf
Au '1. ><
In