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

Name the default lmi type, Cisco is the defaul LMI type. There are thre...

Cisco is the defaul LMI type. There are three types of LMI standards:  ANSI - Annex D defined by ANSI standard T1.617  ITU-T (Q.933A) - Annex A defined by Q933A  Cisco

Verify vlans and trunking - ccna, Verify VLANs and trunking. Use the sh...

Verify VLANs and trunking. Use the show ip interface trunk command on S1 and the show vlan command on S2 to determine that the switches are trunking correctly and the proper VL

When would we use isdn, We use IDSN supports high speed voice, data and vid...

We use IDSN supports high speed voice, data and video and is a good choice for many small businesses.

What do you mean by osi, What do you mean by OSI? The Open System Inter...

What do you mean by OSI? The Open System Interconnection (OSI) reference model explains how information from a software application in one computer moves by a network medium to

What is kerberos in networking, What is Kerberos in Networking? It is a...

What is Kerberos in Networking? It is an authentication service developed at the Massachusetts Institute of Technology. Kerberos uses encryption to stop intruders from discover

Firewall, confiriguration,capabilities,implementation

confiriguration,capabilities,implementation

Options - transport layer, Options The options  fields may be  used to...

Options The options  fields may be  used to  provide  other functions that are not  covered by  the header. If the length  of the  options  field is not  a multiple of 32 bits

FTP, study on FTP

study on FTP

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