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

Multi tasking environment, Multi Tasking Environment Multi tasking exp...

Multi Tasking Environment Multi tasking exploits parallelism by: 1)  Concurrently using the multiple functional units 2)  Pipelining functional units are pipe line toget

What are the basic key functions of data link layer, Q. What are the basic ...

Q. What are the basic key functions of data link layer? Ans: Data link layer transfers data in a structured and reliable manner so that the service given by the physical layer

Subnet/address mask, To use a subnet or classless address, table under rout...

To use a subnet or classless address, table under routers and hosts that have address must keep two pieces of information with every address: the 32-bit address itself and another

Explain the bit-level encryption, Q. Explain the Bit-Level Encryption? ...

Q. Explain the Bit-Level Encryption? Bit-Level Encryption - Data is divided into blocks of bits then altered by encoding/decoding, permutation, substitution, exclusive OR

What is data representation, Q. What is Data Representation? Informatio...

Q. What is Data Representation? Information Today arrives in different forms such as numbers, text, images, audio and video. Text: Represented like a bit pattern a sequence

Error detection-- crc, Error Detection-- CRC Powerful error detecti...

Error Detection-- CRC Powerful error detection system Rather than addition, binary division is utilized A series of redundant bits called "CRC" or else "CRC remai

What is region, What is region? When hierarchical routing is used, the ...

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

What is error control, What is Error Control ? Error control is both er...

What is Error Control ? Error control is both error detection and error correction. It allows the receiver to inform the sender of any frames lost or damaged in transmission an

Define decoder, Define Decoder? A device or program that translates enc...

Define Decoder? A device or program that translates encoded data into its original format (e.g. it decodes the data). The term is often used in reference to MPEG-2 video and so

Categories to access the intranet, Categories to access the Intranet P...

Categories to access the Intranet Persons who can find access to the Intranet can be put into three categories. 1.  Those who can enter the site 2.  Those who can access

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