Example: air traffic controller
Detecting and Correcting Bit Errors
Hamming distance • Measures the number of bit flipsto change one codeword into another • Hamming distance between two messages m 1, m 2: The number of bit flips needed to change m 1into m 2 • Example: Two bit flips needed to change codeword 00 to codeword 11, so they are Hamming distance of twoapart: 17 00 01 11
Tags:
Information
Domain:
Source:
Link to this page:
Documents from same domain
Chapter 9 Basic Signal Processing - cs.princeton.edu
www.cs.princeton.eduChapter 9 Basic Signal Processing ... Digital Signal Processing ... The key to understanding signal processing is to learn to think in the frequency do-
C Examples - Princeton University Computer Science
www.cs.princeton.eduC Examples! Jennifer Rexford! 2 Goals of this Lecture ! • Help you learn about:! • The fundamentals of C! • Deterministic finite state automata (DFA)!
1 What is Machine Learning?
www.cs.princeton.educlassification predicted rule prediction algorithm machine learning example new examples training labeled Figure 1: Diagram of a typical learning problem.
Modules - Princeton University Computer Science
www.cs.princeton.edu1 Modules CS 217 The C Programming Language • Systems programming language originally used to write Unix and Unix tools data types and control structures close to most machines
C Examples - cs.princeton.edu
www.cs.princeton.edu3 Overview of this Lecture! • C programming examples! • Echo input to output! • Convert all lowercase letters to uppercase! • Convert first letter of each word to uppercase!
Introduction to Stochastic Simulation with the Gillespie ...
www.cs.princeton.eduIntroduction to Stochastic Simulation with the Gillespie Method David Karig April 18, 2005. Stochastic Systems • Many systems driven by random, discrete interactions • Traditional deterministic models may not accurately describe such systems $ Example: The Lambda Switch
Go programming language - Princeton University
www.cs.princeton.eduGo programming language • history • basic constructs • simple programs • arrays & slices • maps • methods, interfaces • concurrency, goroutines
An Introduction to MCMC for Machine Learning
www.cs.princeton.eduemphasis on probabilistic machine learning. Second, it reviews the main building blocks of modern Markov chain Monte Carlo simulation, thereby providing and introduction to …
A Beginner’s Guide to LATEX September 12, 2005
www.cs.princeton.eduA Beginner’s Guide to LATEX David Xiao dxiao@cs.princeton.edu September 12, 2005 1 Introduction LATEX is the standard mathematical typesetting program.This document is for people who have never used LATEX before and just want a quick crash course to get started.I encourage all students in mathematics and
Insertion Sort - Princeton University Computer Science
www.cs.princeton.edu13 Data analysis. Plot time vs. input size on log-log scale. Regression. Fit line through data points ! a Nb. Hypothesis. Running time grows quadratically with input size.
Related documents
1 Hamming Distance - Ryerson University
math.ryerson.caDe nition 1 (Hamming distance) Given two vectors u;v 2Fnwe de ne the hamming distance between u and v, d(u;v), to be the number of places where u and v di er. Thus the Hamming distance between two vectors is the number of bits we must change to change one into the other. Example Find the distance between the vectors 01101010 and 11011011. 01101010
Chapter 10 Error Detection and Correction
www.cpe.ku.ac.thThe Hamming distance between two word i th b f diffds is the number of differences between corresponding bits. 10.25. Example 10.4 Let us find the Hamming distance between two pairs of words. 1. The Hamming distance d(000, 011) is2because 2. The HiHamming distance d(10101, 11110) is 3 because
Detecting and Correcting Errors - MIT
web.mit.eduHamming distance between any two valid code words is at least 2. In the diagram above, we’re using “even parity” where the added bit is chosen to make the total number of 1’s in the code word even. Can we correct detected errors? Not yet… If D is the minimum Hamming distance between code words, we can detect up to (D-1)-bit errors
ECTURE Viterbi Decoding of Convolutional Codes
web.mit.eduOct 06, 2010 · (PM).Thebranchmetricisameasureofthe“distance”betweenwhatwastransmittedand what was received, and is defined for each arc in the trellis. In hard decision decoding, where we are given a sequence of digitized parity bits, the branch metric is the Hamming distance between the expected parity bits and the received ones. An example is shown in
Introduction to Coding Theory Lecture Notes
u.cs.biu.ac.ilHamming distance. In general, we will assume that it is more likely to have less errors than more errors. Furthermore, we will assume an upper bound on the number of errors that occur (if we are wrong, then an incorrect message may be received). This “worst case” approach to coding is intuitively appealing within itself, in our opinion.
Hamming Codes - Michigan State University
users.math.msu.educode with such a check matrix H is a binary Hamming code of redundancy binary Hamming code r, denoted Ham r(2). Thus the [7;4] code is a Hamming code Ham 3(2). Each binary Hamming code has minimum weight and distance 3, since as before there are no columns 0 and no pair of identical columns. That is, no pair of columns
4-Bit Register Memory 1 - Virginia Tech
courses.cs.vt.eduHamming Codes Memory 15 Richard Hamming described a method for generating minimum-length error-correcting codes. Here is the (7,4) Hamming code for 4-bit words: Data bits Check bits 0000 000 0001 011 0010 101 0011 110 0100 110 0101 101 0110 011 Say we had the data word 0100 and check bits 011 . The two valid data words that match that check bit