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

Define the term - store-and-forward and cut-through switch, Store-and-forwa...

Store-and-forward switch  The layer 2 switch accepts a frame on an input line, buffers it briefly, and then routes it to the appropriate output line. Cut-through switch

What is the disadvantage of a star topology, What is the disadvantage of a ...

What is the disadvantage of a star topology? One major drawbacks of star topology is that once the central hub or switch get damaged, the whole network becomes unusable.

Routing algorithms, compare routing algorithms with non adaptive algorithms...

compare routing algorithms with non adaptive algorithms

Advantages and disadvantage of computer networking , Advantages and Disadva...

Advantages and Disadvantage of Computer Networking Most of the benefits  of networking  can be  divided into  two  generic categories Connectivity and  sharing. Networks

What is bit stuffing, What is Bit Stuffing? Bit stuffing is the process...

What is Bit Stuffing? Bit stuffing is the process of adding one extra 0 whenever five consecutive is follow a 0 in the data, so that the receiver does not mistake the pattern 0

Osi reference model - fundamentals of networks, OSI Reference  Model ...

OSI Reference  Model Normal 0 false false false EN-IN X-NONE X-NONE

What are main types of networks and explain, a)  Peer-to-Peer Network Co...

a)  Peer-to-Peer Network Computers can act as both servers sharing resources and as clients using the resources. b)  Server-based Network Give centralized control of netwo

Explain about traffic shaping, Q. Explain about Traffic shaping ? Traf...

Q. Explain about Traffic shaping ? Traffic shaping -Method to control the amount and the rate of the traffic sent to the network.? Leaky bucket Token bucket -

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