错误校验(CRC)域占用两个字节,包含了一个16位的二进制值。CRC值由传输设备计算出来,然后附加到数据帧上,接收设备在接收数据时重新计算CRC值,然后与接收到的CRC域中的值进行比较,如果这两个值不相等,就发生了错误。
CRC运算时,首先将一个16位的寄存器预置为全1,然后连续把数据帧中的每个字节中的8位与该寄存器的当前值进行运算,仅仅每个字节的8个数据位参与生成CRC,起始位和终止位以及可能使用的奇偶位都不影响CRC。在生成CRC时,每个字节的8位与寄存器中的内容进行异或,然后将结果向低位移位,高位则用“0”补充,最低位(LSB)移出并检测,如果是1,该寄存器就与一个预设的固定值(0A001H)进行一次异或运算,如果最低位为0,不作任何处理。
上述处理重复进行,直到执行完了8次移位操作,当最后一位(第8位)移完以后,下一个8位字节与寄存器的当前值进行异或运算,同样进行上述的另一个8次移位异或操作,当数据帧中的所有字节都作了处理,生成的最终值就是CRC值。
生成一个CRC的流程为:
1 预置一个16位寄存器为0FFFFH(全1),称之为CRC寄存器。
2 把数据帧中的第一个字节的8位与CRC寄存器中的低字节进行异或运算,结果存回CRC寄存器。
3 将CRC寄存器向右移一位,最高位填以0,最低位移出并检测。
4 如果最低位为0:重复第三步(下一次移位);如果最低位为1:将CRC寄存器与一个预设的固定值(0A001H)进行异或运算。
5 重复第三步和第四步直到8次移位。这样处理完了一个完整的八位。
6 重复第2步到第5步来处理下一个八位,直到所有的字节处理结束。
7 最终CRC寄存器的值就是CRC的值。
此外还有一种利用预设的表格计算CRC的方法,它的主要特点是计算速度快,但是表格需要较大的存储空间,该方法此处不再赘述,请参阅相关资料。
1.6 通讯应用格式祥解
本节所举实例将尽可能的使用如图所示的格式,(数字为16进制)。
Addr
|
Fun
|
Data start reg hi
|
Data start reg lo
|
Data #of regs hi
|
Data #of regs lo
|
CRC16 lo
|
CRC16hi
|
01H
|
03H
|
00H
|
00H
|
00H
|
03H
|
05H
|
CBH
|
Addr:从机地址
Fun:功能码
Data start reg hi:数据起始地址 寄存器高字节
Data start reg lo:数据起始地址 寄存器低字节
Data #of reg hi:数据读取个数 寄存器高字节
Data #of reg lo:数据读取个数 寄存器低字节
CRC16 Hi: 循环冗余校验 高字节
CRC16 Lo: 循环冗余校验 低字节
CRC添加到消息中时,低字节先加入,然后高字节。
CRC简单函数如下: unsigned short CRC16(puchMsg,usDataLen) unsigned char *puchMsg ; /* 要进行CRC校验的消息*/ unsigned short usDataLen ; /* 消息中字节数*/ { unsigned char uchCRCHi = 0xFF ; /* 高CRC字节初始化*/ unsigned char uchCRCLo = 0xFF ; /* 低CRC 字节初始化*/ unsigned uIndex ; /* CRC循环中的索引*/ while (usDataLen--) /* 传输消息 缓冲区*/ { uIndex = uchCRCHi ^ *puchMsgg++ ; /* 计算CRC */ uchCRCHi = uchCRCLo ^ auchCRCHi[uIndex] ; uchCRCLo = auchCRCLo[uIndex] ; } return ((uchCRCHi << 8) | uchCRCLo) ; } /* CRC 高位字节值表*/ static unsigned char auchCRCHi[] = { 0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41,0x01,0xC0, 0x80,0x41,0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41, 0x00,0xC1,0x81,0x40,0x00,0xC1,0x81,0x40,0x01,0xC0, 0x80,0x41,0x01,0xC0,0x80,0x41,0x00,0xC1,0x81,0x40, 0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41,0x00,0xC1, 0x81,0x40,0x01,0xC0,0x80,0x41,0x01,0xC0,0x80,0x41, 0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41,0x00,0xC1, 0x81,0x40,0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41, 0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41,0x01,0xC0, 0x80,0x41,0x00,0xC1,0x81,0x40,0x00,0xC1,0x81,0x40, 0x01,0xC0,0x80,0x41,0x01,0xC0,0x80,0x41,0x00,0xC1, 0x81,0x40,0x01,0xC0,0x80,0x41,0x00,0xC1,0x81,0x40, 0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41,0x01,0xC0, 0x80,0x41,0x00,0xC1,0x81,0x40,0x00,0xC1,0x81,0x40, 0x01,0xC0,0x80,0x41,0x00,0xC1,0x81,0x40,0x01,0xC0, 0x80,0x41,0x01,0xC0,0x80,0x41,0x00,0xC1,0x81,0x40, 0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41,0x01,0xC0, 0x80,0x41,0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41, 0x00,0xC1,0x81,0x40,0x00,0xC1,0x81,0x40,0x01,0xC0, 0x80,0x41,0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41, 0x01,0xC0,0x80,0x41,0x00,0xC1,0x81,0x40,0x01,0xC0, 0x80,0x41,0x00,0xC1,0x81,0x40,0x00,0xC1,0x81,0x40, 0x01,0xC0,0x80,0x41,0x01,0xC0,0x80,0x41,0x00,0xC1, 0x81,0x40,0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41, 0x00,0xC1,0x81,0x40,0x01,0xC0,0x80,0x41,0x01,0xC0, 0x80,0x41,0x00,0xC1,0x81,0x40 } ; /* CRC低位字节值表*/ static char auchCRCLo[] = { 0x00,0xC0,0xC1,0x01,0xC3,0x03,0x02,0xC2,0xC6,0x06, 0x07,0xC7,0x05,0xC5,0xC4,0x04,0xCC,0x0C,0x0D,0xCD, 0x0F,0xCF,0xCE,0x0E,0x0A,0xCA,0xCB,0x0B,0xC9,0x09, 0x08,0xC8,0xD8,0x18,0x19,0xD9,0x1B,0xDB,0xDA,0x1A, 0x1E,0xDE,0xDF,0x1F,0xDD,0x1D,0x1C,0xDC,0x14,0xD4, 0xD5,0x15,0xD7,0x17,0x16,0xD6,0xD2,0x12,0x13,0xD3, 0x11,0xD1,0xD0,0x10,0xF0,0x30,0x31,0xF1,0x33,0xF3, 0xF2,0x32,0x36,0xF6,0xF7,0x37,0xF5,0x35,0x34,0xF4, 0x3C,0xFC,0xFD,0x3D,0xFF,0x3F,0x3E,0xFE,0xFA,0x3A, 0x3B,0xFB,0x39,0xF9,0xF8,0x38,0x28,0xE8,0xE9,0x29, 0xEB,0x2B,0x2A,0xEA,0xEE,0x2E,0x2F,0xEF,0x2D,0xED, 0xEC,0x2C,0xE4,0x24,0x25,0xE5,0x27,0xE7,0xE6,0x26, 0x22,0xE2,0xE3,0x23,0xE1,0x21,0x20,0xE0,0xA0,0x60, 0x61,0xA1,0x63,0xA3,0xA2,0x62,0x66,0xA6,0xA7,0x67, 0xA5,0x65,0x64,0xA4,0x6C,0xAC,0xAD,0x6D,0xAF,0x6F, 0x6E,0xAE,0xAA,0x6A,0x6B,0xAB,0x69,0xA9,0xA8,0x68, 0x78,0xB8,0xB9,0x79,0xBB,0x7B,0x7A,0xBA,0xBE,0x7E, 0x7F,0xBF,0x7D,0xBD,0xBC,0x7C,0xB4,0x74,0x75,0xB5, 0x77,0xB7,0xB6,0x76,0x72,0xB2,0xB3,0x73,0xB1,0x71, 0x70,0xB0,0x50,0x90,0x91,0x51,0x93,0x53,0x52,0x92, 0x96,0x56,0x57,0x97,0x55,0x95,0x94,0x54,0x9C,0x5C, 0x5D,0x9D,0x5F,0x9F,0x9E,0x5E,0x5A,0x9A,0x9B,0x5B, 0x99,0x59,0x58,0x98,0x88,0x48,0x49,0x89,0x4B,0x8B, 0x8A,0x4A,0x4E,0x8E,0x8F,0x4F,0x8D,0x4D,0x4C,0x8C, 0x44,0x84,0x85,0x45,0x87,0x47,0x46,0x86,0x82,0x42, 0x43,0x83,0x41,0x81,0x80,0x40 } ;