A certain telemetry message consists of 960 binary digits, 40% of them being zeros, randomly distributed.
Transmitted thru notperfectlyreliable media, on the average 35% of "ones" become zeroes and 20% of zeroes become "ones".
1. What is the probability of randomly chosen bit to arrive undistorted?
A selfcorrecting algorithm is applied adding 4 additional bits to each 3bit "character"(see Hamming on the web). The new block is transmitted through the same faulty media, decoded to get the message only and the same question is asked:
2.What is the probability of randomly chosen bit to arrive undistorted?
Rem: If solved by simulation, define the achieved accuracy.
Your ideas about improving the "reliability figure" will be welcome.
After reading the wikipedia page about Hamming, a common version is Hamming(7,4) which has 7 total bits, 4 data bits, and 3 parity bits. This is a Single Error Correcting scheme.
But we have only 3 data bits. So I assume what can be configured is a Hamming code with an extra parity bit to produce SECDEC: Single Error Correcting, Double Error Detecting.

Posted by Larry
on 20180428 07:19:46 