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Find The Minimum Probability Of Error Estimator

Your cache administrator is webmaster. The book contains over 300 exercises and is a suitable textbook for practicing engineers, as well as a valuable reference volume for researchers in communications and signal processing. The system returned: (22) Invalid argument The remote host or network may be down. For example, imagine that we are going to draw $x$, and it can be $0$ or $1$ with equal (50%) probability. More about the author

Cover,Joy A. As of now, I cannot provide the definition of X and Y but can anyone provide a rough overview of what needs to be done ? Solution: (a) From inspection we see that ˆ X ( y ) =    1 y=a 2 y=b 3 y=c (2) Hence the associated P e is the sum Therefore, our estimator ˆ X ( Y ) is actually quite good. 2.40 Discrete entropies. https://www.coursehero.com/file/p6c62ed/a-Find-the-minimum-probability-of-error-estimator-%CB%86-X-Y-and-the-associated-P-e/

Not the answer you're looking for? Any ideas for residual error ? –Cemre Nov 26 '13 at 14:24 1 The residual error is the mean square error left over when we use the best estimator, $\hat{x}$. more stack exchange communities company blog Stack Exchange Inbox Reputation and Badges sign up log in tour help Tour Start here for a quick overview of the site Help Center Detailed Please try the request again.

Your cache administrator is webmaster. The actual table of values would be helpful too. –user76844 Nov 26 '13 at 13:32 add a comment| 1 Answer 1 active oldest votes up vote 1 down vote accepted The Please try the request again. Course Hero, Inc.

What does かぎのあるヱ mean? COVER, PHD, is Professor in the departments of electrical engineering and statistics, Stanford University. Ask a homework question - tutors are online current community blog chat Mathematics Mathematics Meta your communities Sign up or log in to customize your list. It is not clear if X and Y are completely determined by the die roll, or only probabilistically so.

This is followed by the design and analysis of optimum and linear multiuser detectors. Please try the request again. What are the alternatives? Weissman Information Theory Thursday, January 21, 2010 Homework Set hw2sol 7 pages Homework 5 Solutions WPI ECE 5311 - Spring 2014 Chapter 7: Channel Capacity Homework 5 and Solutions (Date: 03/20/2014)

  1. It's therefore $E[(x-\hat{x})^2]$, which is the variance of $x$.
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  4. Cover, Joy A.
  5. An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.
  6. The system returned: (22) Invalid argument The remote host or network may be down.
  7. Using $\mu$ to denote $E[x]$, we have $$\begin{align}E[(x-\hat{x})^2] &= E[(x-\mu +\mu-\hat{x})^2]\\&= E[(x-\mu)^2] + E[(\mu-\hat{x})^2] + 2E[(x-\mu)(\mu-\hat{x})]\\&= E[(x-\mu)^2] + (\mu-\hat{x})^2 \end{align}$$ since the last term on the right is $0$ and the
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lfan-W. _ ,, l(Xz'~TlXL) =__H Lecture 3 Notes 5 pages Homework 1 Solutions WPI ECE 5311 - Spring 2014 Chapter 2: Entropy, relative Entropy and Mutual Information Homework 1 and Solutions Your cache administrator is webmaster. Generated Sat, 15 Oct 2016 19:40:17 GMT by s_ac15 (squid/3.5.20) ERROR The requested URL could not be retrieved The following error was encountered while trying to retrieve the URL: http://0.0.0.6/ Connection Report this document Report View Full Document Most Popular Documents for ECE 5311 1 pages hw8.pdf WPI ECE 5311 - Spring 2014 ECE 5311: Information Theory & Coding Homework 8: Due

Your cache administrator is webmaster. my review here Replace lines matching a pattern with lines from another file in order The mortgage company is trying to force us to make repairs after an insurance claim Sum of neighbours Hardware Your cache administrator is webmaster. If ˆ X ∈ X , as it does here, we can use the stronger form of Fano’s inequality to get P e ≥ H ( X | Y ) -

ThomasKeine Leseprobe verfügbar - 2006Elements of Information TheoryThomas M. Using calculus, the mean square error is minimized by a choice of $\hat{x}$ that satisfies: $$ 0 = E\left[-2\left(x-\hat{x}\right)\right] $$ Dividing both sides by $-2$ and rearranging, we get $$ \hat{x} An experiment consist of rolling a single die and the experimental outcome determines a value for X and Y. (the random variables X and Y are defined Table) a) Find a click site Let X be uniformly distributed over { 1 , 2 ,..., 8 } , and let ( Y = k ) = 2 - k ,k = 1 , 2 ,

Durch die Nutzung unserer Dienste erklären Sie sich damit einverstanden, dass wir Cookies setzen.Mehr erfahrenOKMein KontoSucheMapsYouTubePlayNewsGmailDriveKalenderGoogle+ÜbersetzerFotosMehrShoppingDocsBooksBloggerKontakteHangoutsNoch mehr von GoogleAnmeldenAusgeblendete FelderBooksbooks.google.de - Multiuser Detection provides the first comprehensive treatment of the subject Watson Research Center in Yorktown Heights, New York. TERM Spring '14 PROFESSOR Click to edit the document details Share this link with a friend: Copied!

The development of multiuser detection techniques is one of the most important recent advances in communications technology, and this self-contained book gives a comprehensive coverage of the design and analysis of

Chicago ECE 534 - Fall 2010 12 Entropy, Relative Entropy and Mutual Information since t log t 0 for 0 t 1 , and i old HW_sol 9 pages Lecture5 Colorado ThomasKeine Leseprobe verfügbar - 2006Häufige Begriffe und Wortgruppenachievable algorithm alphabet assume asymptotic average binary symmetric channel bits broadcast channel calculate capacity region channel capacity channel coding codebook codeword codeword lengths coding Let X and Y be two independent integer-valued random variables. The historical notes that follow each chapter recap the main points.

Cover,Joy A. The system returned: (22) Invalid argument The remote host or network may be down. For your problem, in part a), the answer will be the expected value of $X$, and in part b), the answer will be the expected value of $X$ conditional on $Y=4$. navigate to this website T.

The authors provide readers with a solid understanding of the underlying theory and applications. Sign up to view the full document. JOY A. Course Hero is not sponsored or endorsed by any college or university.

Your cache administrator is webmaster. Thus, the minimum value of $E[(x-\hat{x})^2]$ occurs when the constant on the right is $0$, that is, when $\hat{x} = \mu = E[x]$. –Dilip Sarwate Nov 26 '13 at 14:22 Which of the following inequalities are generally ≥ , = , ≤ ? Please try the request again.

Shannon Award, Dr. Dr.