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NAND FLASH ECC校验原理与实现
作者:龙林 EMAIL:dragon_hn@sohu.com WEB:www.dragon-2008.com
ECC简介
由于NAND Flash的工艺不能保证NAND的Memory Array在其生命周期中保持性能的可靠,因此,在NAND的生产中及使用过程中会产生坏块。为了检测数据的可靠性,在应用NAND Flash的系统中一般都会采用一定的坏区管理策略,而管理坏区的前提是能比较可靠的进行坏区检测。
如果操作时序和电路稳定性不存在问题的话,NAND Flash出错的时候一般不会造成整个Block或是Page不能读取或是全部出错,而是整个Page(例如512Bytes)中只有一个或几个bit出错。
对数据的校验常用的有奇偶校验、CRC校验等,而在NAND Flash处理中,一般使用一种比较专用的校验——ECC。ECC能纠正单比特错误和检测双比特错误,而且计算速度很快,但对1比特以上的错误无法纠正,对2比特以上的错误不保证能检测。
ECC原理
ECC一般每256字节原始数据生成3字节ECC校验数据,这三字节共24比特分成两部分:6比特的列校验和16比特的行校验,多余的两个比特置1,如下图所示:
ECC的列校验和生成规则如下图所示:
用数学表达式表示为:
P4=D7(+)D6(+)D5(+)D4 P4`=D3(+)D2(+)D1(+)D0
P2=D7(+)D6(+)D3(+)D2 P2`=D5(+)D4(+)D1(+)D0
P1=D7(+)D5(+)D3(+)D1 P1`=D6(+)D4(+)D2(+)D0
这里(+)表示“位异或”操作
ECC的行校验和生成规则如下图所示:
用数学表达式表示为:
P8 = bit7(+)bit6(+)bit5(+)bit4(+)bit3(+)bit2(+)bit1(+)bit0(+)P8
……………………………………………………………………………………
这里(+)同样表示“位异或”操作
当往NAND Flash的page中写入数据的时候,每256字节我们生成一个ECC校验和,称之为原ECC校验和,保存到PAGE的OOB(out-of-band)数据区中。
当从NAND Flash中读取数据的时候,每256字节我们生成一个ECC校验和,称之为新ECC校验和。
校验的时候,根据上述ECC生成原理不难推断:将从OOB区中读出的原ECC校验和新ECC校验和按位异或,若结果为0,则表示不存在错(或是出现了 ECC无法检测的错误);若3个字节异或结果中存在11个比特位为1,表示存在一个比特错误,且可纠正;若3个字节异或结果中只存在1个比特位为1,表示 OOB区出错;其他情况均表示出现了无法纠正的错误。
ECC算法的实现
- static const u_char nand_ecc_precalc_table[] =
- {
- 0x00, 0x55, 0x56, 0x03, 0x59, 0x0c, 0x0f, 0x5a, 0x5a, 0x0f, 0x0c, 0x59, 0x03, 0x56, 0x55, 0x00,
- 0x65, 0x30, 0x33, 0x66, 0x3c, 0x69, 0x6a, 0x3f, 0x3f, 0x6a, 0x69, 0x3c, 0x66, 0x33, 0x30, 0x65,
- 0x66, 0x33, 0x30, 0x65, 0x3f, 0x6a, 0x69, 0x3c, 0x3c, 0x69, 0x6a, 0x3f, 0x65, 0x30, 0x33, 0x66,
- 0x03, 0x56, 0x55, 0x00, 0x5a, 0x0f, 0x0c, 0x59, 0x59, 0x0c, 0x0f, 0x5a, 0x00, 0x55, 0x56, 0x03,
- 0x69, 0x3c, 0x3f, 0x6a, 0x30, 0x65, 0x66, 0x33, 0x33, 0x66, 0x65, 0x30, 0x6a, 0x3f, 0x3c, 0x69,
- 0x0c, 0x59, 0x5a, 0x0f, 0x55, 0x00, 0x03, 0x56, 0x56, 0x03, 0x00, 0x55, 0x0f, 0x5a, 0x59, 0x0c,
- 0x0f, 0x5a, 0x59, 0x0c, 0x56, 0x03, 0x00, 0x55, 0x55, 0x00, 0x03, 0x56, 0x0c, 0x59, 0x5a, 0x0f,
- 0x6a, 0x3f, 0x3c, 0x69, 0x33, 0x66, 0x65, 0x30, 0x30, 0x65, 0x66, 0x33, 0x69, 0x3c, 0x3f, 0x6a,
- 0x6a, 0x3f, 0x3c, 0x69, 0x33, 0x66, 0x65, 0x30, 0x30, 0x65, 0x66, 0x33, 0x69, 0x3c, 0x3f, 0x6a,
- 0x0f, 0x5a, 0x59, 0x0c, 0x56, 0x03, 0x00, 0x55, 0x55, 0x00, 0x03, 0x56, 0x0c, 0x59, 0x5a, 0x0f,
- 0x0c, 0x59, 0x5a, 0x0f, 0x55, 0x00, 0x03, 0x56, 0x56, 0x03, 0x00, 0x55, 0x0f, 0x5a, 0x59, 0x0c,
- 0x69, 0x3c, 0x3f, 0x6a, 0x30, 0x65, 0x66, 0x33, 0x33, 0x66, 0x65, 0x30, 0x6a, 0x3f, 0x3c, 0x69,
- 0x03, 0x56, 0x55, 0x00, 0x5a, 0x0f, 0x0c, 0x59, 0x59, 0x0c, 0x0f, 0x5a, 0x00, 0x55, 0x56, 0x03,
- 0x66, 0x33, 0x30, 0x65, 0x3f, 0x6a, 0x69, 0x3c, 0x3c, 0x69, 0x6a, 0x3f, 0x65, 0x30, 0x33, 0x66,
- 0x65, 0x30, 0x33, 0x66, 0x3c, 0x69, 0x6a, 0x3f, 0x3f, 0x6a, 0x69, 0x3c, 0x66, 0x33, 0x30, 0x65,
- 0x00, 0x55, 0x56, 0x03, 0x59, 0x0c, 0x0f, 0x5a, 0x5a, 0x0f, 0x0c, 0x59, 0x03, 0x56, 0x55, 0x00
- };
- // Creates non-inverted ECC code from line parity
- static void nand_trans_result(u_char reg2, u_char reg3,u_char *ecc_code)
- {
- u_char a, b, i, tmp1, tmp2;
- /* Initialize variables */
- a = b = 0x80;
- tmp1 = tmp2 = 0;
- /* Calculate first ECC byte */
- for (i = 0; i < 4; i++)
- {
- if (reg3 & a) /* LP15,13,11,9 --> ecc_code[0] */
- tmp1 |= b;
- b >>= 1;
- if (reg2 & a) /* LP14,12,10,8 --> ecc_code[0] */
- tmp1 |= b;
- b >>= 1;
- a >>= 1;
- }
- /* Calculate second ECC byte */
- b = 0x80;
- for (i = 0; i < 4; i++)
- {
- if (reg3 & a) /* LP7,5,3,1 --> ecc_code[1] */
- tmp2 |= b;
- b >>= 1;
- if (reg2 & a) /* LP6,4,2,0 --> ecc_code[1] */
- tmp2 |= b;
- b >>= 1;
- a >>= 1;
- }
- /* Store two of the ECC bytes */
- ecc_code[0] = tmp1;
- ecc_code[1] = tmp2;
- }
- // Calculate 3 byte ECC code for 256 byte block
- void nand_calculate_ecc (const u_char *dat, u_char *ecc_code)
- {
- u_char idx, reg1, reg2, reg3;
- int j;
- /* Initialize variables */
- reg1 = reg2 = reg3 = 0;
- ecc_code[0] = ecc_code[1] = ecc_code[2] = 0;
- /* Build up column parity */
- for(j = 0; j < 256; j++)
- {
- /* Get CP0 - CP5 from table */
- idx = nand_ecc_precalc_table[dat[j]];
- reg1 ^= (idx & 0x3f);
- /* All bit XOR = 1 ? */
- if (idx & 0x40) {
- reg3 ^= (u_char) j;
- reg2 ^= ~((u_char) j);
- }
- }
- /* Create non-inverted ECC code from line parity */
- nand_trans_result(reg2, reg3, ecc_code);
- /* Calculate final ECC code */
- ecc_code[0] = ~ecc_code[0];
- ecc_code[1] = ~ecc_code[1];
- ecc_code[2] = ((~reg1) << 2) | 0x03;
- }
- // Detect and correct a 1 bit error for 256 byte block
- int nand_correct_data (u_char *dat, u_char *read_ecc, u_char *calc_ecc)
- {
- u_char a, b, c, d1, d2, d3, add, bit, i;
- /* Do error detection */
- d1 = calc_ecc[0] ^ read_ecc[0];
- d2 = calc_ecc[1] ^ read_ecc[1];
- d3 = calc_ecc[2] ^ read_ecc[2];
- if ((d1 | d2 | d3) == 0)
- {
- /* No errors */
- return 0;
- }
- else
- {
- a = (d1 ^ (d1 >> 1)) & 0x55;
- b = (d2 ^ (d2 >> 1)) & 0x55;
- c = (d3 ^ (d3 >> 1)) & 0x54;
- /* Found and will correct single bit error in the data */
- if ((a == 0x55) && (b == 0x55) && (c == 0x54))
- {
- c = 0x80;
- add = 0;
- a = 0x80;
- for (i=0; i<4; i++)
- {
- if (d1 & c)
- add |= a;
- c >>= 2;
- a >>= 1;
- }
- c = 0x80;
- for (i=0; i<4; i++)
- {
- if (d2 & c)
- add |= a;
- c >>= 2;
- a >>= 1;
- }
- bit = 0;
- b = 0x04;
- c = 0x80;
- for (i=0; i<3; i++)
- {
- if (d3 & c)
- bit |= b;
- c >>= 2;
- b >>= 1;
- }
- b = 0x01;
- a = dat[add];
- a ^= (b << bit);
- dat[add] = a;
- return 1;
- }
- else
- {
- i = 0;
- while (d1)
- {
- if (d1 & 0x01)
- ++i;
- d1 >>= 1;
- }
- while (d2)
- {
- if (d2 & 0x01)
- ++i;
- d2 >>= 1;
- }
- while (d3)
- {
- if (d3 & 0x01)
- ++i;
- d3 >>= 1;
- }
- if (i == 1)
- {
- /* ECC Code Error Correction */
- read_ecc[0] = calc_ecc[0];
- read_ecc[1] = calc_ecc[1];
- read_ecc[2] = calc_ecc[2];
- return 2;
- }
- else
- {
- /* Uncorrectable Error */
- return -1;
- }
- }
- }
- /* Should never happen */
- return -1;
- }
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[ 本帖最后由 bitmilong 于 2008-6-24 14:56 编辑 ] |
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