16-Bit CRC Encoding and Decoding Implementation Example

This example demonstrates how to implement 16-bit CRC encoding and decoding in MATLAB. The implementation uses standard CRC algorithms with predefined generator polynomials (typically CRC-16-CCITT or CRC-16-IBM standards). When you input a row vector of numerical sequence, the algorithm performs polynomial division using XOR operations and shift register techniques to compute the 16-bit CRC checksum. The decoding process verifies data integrity by recalculating the checksum and comparing it with the transmitted value. Key MATLAB functions involved include bitwise operations (bitand, bitor, bitshift) and polynomial manipulation through vector operations. This practical example helps understand CRC error detection mechanisms, generator polynomial selection, and checksum validation procedures in digital communication systems. The code structure handles both little-endian and big-endian byte ordering configurations for comprehensive compatibility.