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

What is manchester, Q. What is Manchester? - Utilizes an inversion at t...

Q. What is Manchester? - Utilizes an inversion at the middle of each bit interval for both synchronization and bit representation - Negative-to-positive represents binary 1

Connection oriented transport tcp - transport layer, Connection Oriented Tr...

Connection Oriented Transport TCP In addition  to providing  reliable communication transmission control protocols  effects errors  control flow  control  and resequencing of

Projecr assingment, I have a project that need to be submit as soon as poss...

I have a project that need to be submit as soon as possible

Calculate link utilisation - exchanging packets, a)  Assume that the time r...

a)  Assume that the time required to transmit one packet (i.e. the packet length divided by link data rate) is 10ms and the Round Trip Time (from Source to Destination and back) is

Encoding data options in parallel virtual machine , Encoding data options ...

Encoding data options PVM uses SUN's XDR library to generate a machine independent data format if you request it. Settings for the encoding option are: PvmDataDefault: Use X

Point out the drawbacks of token ring, Point out the drawbacks of Token Rin...

Point out the drawbacks of Token Ring. Few of the drawbacks of Token Ring are: a. Token Ring is very costly. All topology components cost much more than other more popular s

What is cross over cable, Q. What is Cross over cable? - Cross the crit...

Q. What is Cross over cable? - Cross the critical pair to properly transmit, align and receive signals on devices with like connections. - Pin 1 connected to pin 3 as well a

What is routing region, What is routing region? When hierarchical routi...

What is routing region? When hierarchical routing is used, the routers are separated into what we call regions, with each router knowing all the details about how to route pack

Which layer is responsible for framing, The Data link layer performs the fo...

The Data link layer performs the following: Responsible for physically passing data from single node to another. Translates messages from the upper layers into data frames and adds

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