Encoding process, Computer Networking

Assignment Help:

Encoding Process

c= uG

u: binary data sequence of length 4( input)

G: Generator matrix which is 7*4

c: Codeword

 

 

797_Encoding Process.png

Decoding Process

s= rHT

r: received data sequence of length 7 ( input) H: Parity-Check Matrix

s: Syndrome to check error-position

 

 

1855_Encoding Process1.png

If some output values of the encoding and decoding multiplication is over than 1, the value should be changed into remainder on division of itself by 2.  (Ex: (4 2 1 ) => (0 0 1))

 

s(Syndrome) detect error position. We can know the single-error-bit position in the table below.

234_Encoding Process2.png

Fig. Decoding table for Hamming code(7,4)

If s is [0 0 0] and r= [0 1 0 0 0 1 1], it supposes that there is no error and transmitted data is [0 0 1 1]. If s is [0 1 0] and r = [1 0 1 0 0 1 0], it supposes that 2th bit is corrupted, so r should be changed to [1 1 1 0 0 1 0], and transmitted data is lower 4bits, [0 0 1 0].


Related Discussions:- Encoding process

Determine the major advantages of ring topology, Point out the major advant...

Point out the major advantages of Ring Topology. The benefits of ring topologies are: a. They are very simple to troubleshoot because every device incorporates a repeater.

Cidr presentation, Inside a device, every address mask is stored as a 32-bi...

Inside a device, every address mask is stored as a 32-bit number. When we submit a prefix and an address mask they use a changed form of dotted decimal addressing known CIDR addres

What is man, What is MAN? MAN - Metropolitan Area Networks. MAN is b...

What is MAN? MAN - Metropolitan Area Networks. MAN is bigger than a LAN and as its name implies, covers the area of a single city. MANs rarely extend beyond 100 KM and frequ

Company access - computer network, Company Access Company  access is t...

Company Access Company  access is that in which  end systems are connected in connecting end  systems in a organization or educational  institution into the network. On  co

The concept of universal service, The major problems with multiple networks...

The major problems with multiple networks are as given: A computer attached to a given server can only interact with other computers attached to the similar network.

Resolution of domain name system, Q. Resolution of domain name system? ...

Q. Resolution of domain name system? - Mapping a name to an address or else an address to a name - Resolver is a DNS client used by an address to provide mapping - In re

Sonet sdh , SONET SDH To satisfy the  requirements  of ever inc...

SONET SDH To satisfy the  requirements  of ever increasing data rate  for diverse applications, ANS developed  a standard known as synchronous optical  network by utili

What is shielded twisted pair, Q. What is Shielded Twisted Pair? - A me...

Q. What is Shielded Twisted Pair? - A metal foil or braided-mesh covering encases every pair of insulated conductors to prevent electromagnetic noise called crosstalk - Cros

How does a switch use store and forward, The LAN switch copies the whole fr...

The LAN switch copies the whole frame into its onboard buffers and then looks up the destination address in its forwarding, or switching, table and verifies the outgoing interface

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd