Why burst error occurs more often than single bit error?
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Note that burst error doesn't necessary means that error occurs in consecutive bits. The length of the burst error is measured from the first corrupted bit to the last corrupted bit. Some bits in between may not be corrupted. Burst errors are mostly likely to happen in serial transmission
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Error Detection and Correction
* Errors can be categorized as a single-bit error or a burst error. A single-bit error has one bit error per data unit. A burst error has two or more bit errors per data unit.
* Redundancy is the concept of sending extra bits for use in error detection.
* Three common redundancy methods are parity check, cyclic redundancy check (CRC), and checksum.
* An extra bit (parity bit) is added to the data unit in the parity check.
* The parity check can detect only an odd number of errors; it cannot detect an even number of errors.
* In the two-dimensional parity check, a redundant data unit follows n data units.
* CRC, a powerful redundancy checking technique, appends a sequence of redundant bits derived from binary division to the data unit.
* The divisor in the CRC generator is often represented as an algebraic poly-nomial.
* Errors are corrected through retransmission and by forward error correction.
* The Hamming code is an error correction method using redundant bits. The number of bits is a function of the length of the data bits.
* In the Hamming code, for a data unit of m bits, use the formula 2 r >= m +r +1 to determine r, the number of redundant bits needed.
* By rearranging the order of bit transmission of the data units, the Hamming code can correct burst errors.
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