In other words, the minimal Hamming distance between any two correct codewords is 3, and received words can be correctly decoded if they are at a distance of at most one from the codeword that was transmitted by the sender. Hamming's (7,4) algorithm can correct any single- bit error, or detect all single- bit and two- bit errors. At the time, Hamming worked at Bell Telephone Laboratories and was frustrated with the error- prone punched card reader, which is why he started working on error- correcting codes. It is a member of a larger family of Hamming codes, but the term Hamming code often refers to this specific code that Richard W. In coding theory, Hamming(7,4) is a linear error- correcting code that encodes four bits of data into seven bits by adding three parity bits. Graphical depiction of the 4 data bits d. Hamming(7,4) - Wikipedia, the free encyclopedia. Show that Hamming code actually achieves the theoretical limit for minimum number of check bits to do 1-bit error-correction.
0 Comments
Leave a Reply. |