PDF4PRO ⚡AMP

Modern search engine that looking for books and documents around the web

Example: marketing

Introduction to Coding Theory Lecture Notes

Introduction to Coding TheoryLecture Notes Yehuda LindellDepartment of Computer ScienceBar-Ilan University, IsraelJanuary 25, 2010 AbstractThese are Lecture Notes for an advanced undergraduate (and beginning graduate) course in CodingTheory in the Computer Science Department at Bar-Ilan University. These Notes contain the technicalmaterial covered but do not include much of the motivation and discussion that is given in the is therefore not intended for self study, and is not a replacement for what we cover in class. This is afirst draft of the Notes and they may therefore contain errors. These Lecture Notes are based on Notes taken by Alon Levy in 2008. We thank Alon for his Basic Definitions.. A Probabilistic Model.. 32 Linear Basic Definitions.

Hamming 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.

Fullscreen Download

Tags:

  Coding, Theory, Distance, Hamming, Coding theory, Hamming distance

Information

Domain:

Source:

Link to this page:

Please notify us if you found a problem with this document:

Spam in document Broken preview Other abuse

Transcription of Introduction to Coding Theory Lecture Notes

Documents from same domain

A Primer on Neural Network Models for Natural Language ...

u.cs.biu.ac.il

2. Neural Network Architectures Neural networks are powerful learning models. We will discuss two kinds of neural network architectures, that can be mixed and matched { …

  Model, Primer

A Primer on Neural Network Models for Natural Language ...

u.cs.biu.ac.il

optimization methods and other advanced topics, the reader is referred to other existing resources. In particular, the book by Bengio et al (2015) is highly recommended. Scope The focus is on applications of neural networks to language processing tasks. How-ever, some subareas of language processing with neural networks were decidedly left out of

  Network, Methods, Processing, Neural network, Neural

Related documents

1 Hamming Distance - Ryerson University

math.ryerson.ca

De 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

  Distance, Hamming, 1 hamming distance, Hamming distance

Chapter 10 Error Detection and Correction

www.cpe.ku.ac.th

The 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

  Distance, Hamming, Hamming distance

Detecting and Correcting Bit Errors

www.cs.princeton.edu

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

  Distance, Hamming, Hamming distance

Detecting and Correcting Errors - MIT

web.mit.edu

Hamming 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

  Distance, Hamming, Hamming distance

ECTURE Viterbi Decoding of Convolutional Codes

web.mit.edu

Oct 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

  Distance, Hamming, Hamming distance

Hamming Codes - Michigan State University

users.math.msu.edu

code 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

  Distance, Hamming

4-Bit Register Memory 1 - Virginia Tech

courses.cs.vt.edu

Hamming 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

  Hamming

Related search queries

1 Hamming distance, Hamming distance, Distance, Hamming