Encoding process, Computer Networking

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].

Posted Date: 2/19/2013 1:12:08 AM | Location : United States







Related Discussions:- Encoding process, Assignment Help, Ask Question on Encoding process, Get Answer, Expert's Help, Encoding process Discussions

Write discussion on Encoding process
Your posts are moderated
Related Questions
A communications channel is pathways over which information can be communicate. It may be described by a physical wire that connects communicating devices, or by a radio, laser, or

How receiver detects error The frame is 10011101. The generator is 1001. The message after appending the three zeros is 10011101000. The reminder on dividing 10011101000 by 100

Question 1 Write a long note on computers in television development Question 2 Write a long note on the ‘Steadicam' Question 3 Write a long note on Internet and pr

SSK Software Corporation has opened an office in Toledo, Ohio. The office will have a wireless Wi-Fi (WLAN), and a Corporate wired Ethernet LAN. Workstation requirements are as

State the reason for Intranet system breaks down Care must be taken to ensure that proper spare parts are available even after about five years of commissioning. In addition t



What is Medium Access Control of Ethernet? The set of rules which make sure that each node in an Ethernet gets a fair amount of frame transmission opportunity, are known as the

Q. Show the Error Correction by Hamming Code? Hamming Code is able to be applied to data units of any length and uses the relationship between data and redundancy bits For i

what is difference between Star and Mesh topology?