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Science/Engineering Fundamentals of Error-Correcting Codes
Posted on 2010-09-21
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The common feature of communication channels is that information is emanating from a source and is sent over the channel to a receiver at the other end. For instance in deep space communication, the message source is the satellite, the channel is outer space together with the hardware that sends and receives the data, and the receiver is the ground station on Earth. (Of course, messages travel from Earth to the satellite as well.) For the compact disc, the message is the voice, music, or data to be placed on the disc, the channel is the disc itself, and the receiver is the listener. The channel is "noisy" in the sense that what is received is not always the same as what was sent. Thus if binary data is being transmitted over the channel, when a 0 is sent, it is hopefully received as a 0 but sometimes will be received as a 1 (or as unrecognizable). Noise in deep space communications can be caused, for example, by thermal disturbance. Noise in a compact disc can be caused by fingerprints or scratches on the disc. The fundamental problem in coding theory is to determine what message was sent on the basis of what is received.
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