Explain cyclic redundancy check (CRC) and its application in digital c

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Module 6: Information Coding and Decoding

20247m

Explain cyclic redundancy check (CRC) and its application in digital communication.

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Answer

CRC: Polynomial division $r(x)=m(x)x^r \bmod g(x)$ , transmit $m||r$ . Generation LFSR taps $g(x)=x^3+x+1$ CRC-3. Detection divide $y(x)/g(x)$ remainder 0 OK else error. Detects burst ≤ $r$ bits. Uses Ethernet, HDLC, disk. Overhead $r$ bits per $k$ data.

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