Error Correcting Codes Writing Service
- The extra bits are called parity bits. They allow detection or correction of the errors.
- The information bits in addition to the parity bits form a code word.
How Does Error Detection Happen?
Concerns in the design of error-correcting codes.
Designing a great code is an extremely difficult issue. Similarly, many aspects have to be considered. In practice, the code should be manufactured appropriately depending on the anticipated rate of mistakes for the particular channel being used. If it is known that the probability that the channel will present 2 mistakes into any transmitted codeword is extremely small, then it is likely not necessary to build a code that will correct all 2-bit error patterns. A single error correcting code will likely be adequate. Alternatively, if double mistakes are frequent and a single error correcting code is being utilized, then translating mistakes will be frequent. From this brief intro, a variety of questions emerge.
In session 3, when we introduced the Closest Neighbour Decoding, we didn’t mention that what the translating in fact does is taking full advantage of the probability P( r|c) that r is received, considered that c is sent. i.e. choosing the closest codeword is comparable to choosing the most likely input message c provided the gotten tuple r.
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