/*---------------------------------------------------------------------------*\ FILE........: horus_l2.c AUTHOR......: David Rowe DATE CREATED: Dec 2015 Horus telemetry layer 2 processing. Takes an array of 8 bit payload data, generates parity bits for a (23,12) Golay code, interleaves data and parity bits, pre-pends a Unique Word for modem sync. Caller is responsible for providing storage for output packet. [ ] code based interleaver [ ] test correction of 1,2 & 3 error patterms 1/ Unit test on a PC: $ gcc horus_l2.c -o horus_l2 -Wall -DHORUS_L2_UNITTEST $ ./horus_l2 test 0: 22 bytes of payload data BER: 0.00 errors: 0 test 0: 22 bytes of payload data BER: 0.01 errors: 0 test 0: 22 bytes of payload data BER: 0.05 errors: 0 test 0: 22 bytes of payload data BER: 0.10 errors: 7 This indicates it's correcting all channel errors for 22 bytes of payload data, at bit error rate (BER) of 0, 0.01, 0.05. It falls over at a BER of 0.10 which is expected. 2/ To build with just the tx function, ie for linking with the payload firmware: $ gcc horus_l2.c -c -Wall By default the RX side is #ifdef-ed out, leaving the minimal amount of code for tx. 3/ Generate some tx_bits as input for testing with fsk_horus: $ gcc horus_l2.c -o horus_l2 -Wall -DGEN_TX_BITS -DSCRAMBLER $ ./horus_l2 $ more ../octave/horus_tx_bits_binary.txt 4/ Unit testing interleaver: $ gcc horus_l2.c -o horus_l2 -Wall -DINTERLEAVER -DTEST_INTERLEAVER -DSCRAMBLER 5/ Compile for use as decoder called by fsk_horus.m and fsk_horus_stream.m: $ gcc horus_l2.c -o horus_l2 -Wall -DDEC_RX_BITS -DHORUS_L2_RX \*---------------------------------------------------------------------------*/ #include #include #include #include #include #include "horus_l2.h" #ifdef HORUS_L2_UNITTEST #define HORUS_L2_RX #endif #define RUN_TIME_TABLES #define INTERLEAVER #define SCRAMBLER static char uw[] = {'$','$'}; /* Function Prototypes ------------------------------------------------*/ int32_t get_syndrome(int32_t pattern); void golay23_init(void); int golay23_decode(int received_codeword); unsigned short gen_crc16(unsigned char* data_p, unsigned char length); void interleave(unsigned char *inout, int nbytes, int dir); void scramble(unsigned char *inout, int nbytes); /* Functions ----------------------------------------------------------*/ /* We are using a Golay (23,12) code which has a codeword 23 bits long. The tx packet format is: | Unique Word | payload data bits | parity bits | This function works out how much storage the caller of horus_l2_encode_tx_packet() will need to store the tx packet */ int horus_l2_get_num_tx_data_bytes(int num_payload_data_bytes) { int num_payload_data_bits, num_golay_codewords; int num_tx_data_bits, num_tx_data_bytes; num_payload_data_bits = num_payload_data_bytes*8; num_golay_codewords = num_payload_data_bits/12; if (num_payload_data_bits % 12) /* round up to 12 bits, may mean some unused bits */ num_golay_codewords++; num_tx_data_bits = sizeof(uw)*8 + num_payload_data_bits + num_golay_codewords*11; num_tx_data_bytes = num_tx_data_bits/8; if (num_tx_data_bits % 8) /* round up to nearest byte, may mean some unused bits */ num_tx_data_bytes++; #ifdef DEBUG0 fprintf(stderr, "\nnum_payload_data_bytes: %d\n", num_payload_data_bytes); fprintf(stderr, "num_golay_codewords...: %d\n", num_golay_codewords); fprintf(stderr, "num_tx_data_bits......: %d\n", num_tx_data_bits); fprintf(stderr, "num_tx_data_bytes.....: %d\n\n", num_tx_data_bytes); #endif return num_tx_data_bytes; } /* Takes an array of payload data bytes, prepends a unique word and appends parity bits. The encoder will run on the payload on a small 8-bit uC. As we are memory constrained so we do a lot of burrowing for bits out of packed arrays, and don't use a LUT for Golay encoding. Hopefully it will run fast enough. This was quite difficult to get going, suspect there is a better way to write this. Oh well, have to start somewhere. */ int horus_l2_encode_tx_packet(unsigned char *output_tx_data, unsigned char *input_payload_data, int num_payload_data_bytes) { int num_tx_data_bytes, num_payload_data_bits; unsigned char *pout = output_tx_data; int ninbit, ningolay, nparitybits; int32_t ingolay, paritybyte, inbit, golayparity; int ninbyte, shift, golayparitybit, i; num_tx_data_bytes = horus_l2_get_num_tx_data_bytes(num_payload_data_bytes); memcpy(pout, uw, sizeof(uw)); pout += sizeof(uw); memcpy(pout, input_payload_data, num_payload_data_bytes); pout += num_payload_data_bytes; /* Read input bits one at a time. Fill input Golay codeword. Find output Golay codeword. Write this to parity bits. Write parity bytes when we have 8 parity bits. Bits are written MSB first. */ num_payload_data_bits = num_payload_data_bytes*8; ninbit = 0; ingolay = 0; ningolay = 0; paritybyte = 0; nparitybits = 0; while (ninbit < num_payload_data_bits) { /* extract input data bit */ ninbyte = ninbit/8; shift = 7 - (ninbit % 8); inbit = (input_payload_data[ninbyte] >> shift) & 0x1; #ifdef DEBUG1 fprintf(stderr, "inbit %d ninbyte: %d inbyte: 0x%02x inbit: %d\n", ninbit, ninbyte, input_payload_data[ninbyte], inbit); #endif ninbit++; /* build up input golay codeword */ ingolay = ingolay | inbit; ningolay++; /* when we get 12 bits do a Golay encode */ if (ningolay % 12) { ingolay <<= 1; } else { #ifdef DEBUG0 fprintf(stderr, " ningolay: %d ingolay: 0x%04x\n", ningolay, ingolay); #endif golayparity = get_syndrome(ingolay<<11); ingolay = 0; #ifdef DEBUG0 fprintf(stderr, " golayparity: 0x%04x\n", golayparity); #endif /* write parity bits to output data */ for (i=0; i<11; i++) { golayparitybit = (golayparity >> (10-i)) & 0x1; paritybyte = paritybyte | golayparitybit; #ifdef DEBUG0 fprintf(stderr, " i: %d golayparitybit: %d paritybyte: 0x%02x\n", i, golayparitybit, paritybyte); #endif nparitybits++; if (nparitybits % 8) { paritybyte <<= 1; } else { /* OK we have a full byte ready */ *pout = paritybyte; #ifdef DEBUG0 fprintf(stderr," Write paritybyte: 0x%02x\n", paritybyte); #endif pout++; paritybyte = 0; } } } } /* while(.... */ /* Complete final Golay encode, we may have partially finished ingolay, paritybyte */ #ifdef DEBUG0 fprintf(stderr, "finishing up .....\n"); #endif if (ningolay % 12) { ingolay >>= 1; golayparity = get_syndrome(ingolay<<12); #ifdef DEBUG0 fprintf(stderr, " ningolay: %d ingolay: 0x%04x\n", ningolay, ingolay); fprintf(stderr, " golayparity: 0x%04x\n", golayparity); #endif /* write parity bits to output data */ for (i=0; i<11; i++) { golayparitybit = (golayparity >> (10 - i)) & 0x1; paritybyte = paritybyte | golayparitybit; #ifdef DEBUG1 fprintf(stderr, " i: %d golayparitybit: %d paritybyte: 0x%02x\n", i, golayparitybit, paritybyte); #endif nparitybits++; if (nparitybits % 8) { paritybyte <<= 1; } else { /* OK we have a full byte ready */ *pout++ = (unsigned char)paritybyte; #ifdef DEBUG0 fprintf(stderr," Write paritybyte: 0x%02x\n", paritybyte); #endif paritybyte = 0; } } } /* and final, partially complete, parity byte */ if (nparitybits % 8) { paritybyte <<= 7 - (nparitybits % 8); // use MS bits first *pout++ = (unsigned char)paritybyte; #ifdef DEBUG0 fprintf(stderr," Write last paritybyte: 0x%02x nparitybits: %d \n", paritybyte, nparitybits); #endif } #ifdef DEBUG0 fprintf(stderr, "\npout - output_tx_data: %ld num_tx_data_bytes: %d\n", pout - output_tx_data, num_tx_data_bytes); #endif assert(pout == (output_tx_data + num_tx_data_bytes)); /* optional interleaver - we dont interleave UW */ #ifdef INTERLEAVER interleave(&output_tx_data[sizeof(uw)], num_tx_data_bytes-2, 0); #endif /* optional scrambler to prevent long strings of the same symbol which upsets the modem - we dont scramble UW */ #ifdef SCRAMBLER scramble(&output_tx_data[sizeof(uw)], num_tx_data_bytes-2); #endif return num_tx_data_bytes; } #ifdef HORUS_L2_RX void horus_l2_decode_rx_packet(unsigned char *output_payload_data, unsigned char *input_rx_data, int num_payload_data_bytes) { int num_payload_data_bits; unsigned char *pout = output_payload_data; unsigned char *pin = input_rx_data; int ninbit, ingolay, ningolay, paritybyte, nparitybits; int ninbyte, shift, inbit, golayparitybit, i, outbit, outbyte, noutbits, outdata; int num_tx_data_bytes = horus_l2_get_num_tx_data_bytes(num_payload_data_bytes); /* optional scrambler and interleaver - we dont interleave UW */ #ifdef SCRAMBLER scramble(&input_rx_data[sizeof(uw)], num_tx_data_bytes-2); #endif #ifdef INTERLEAVER interleave(&input_rx_data[sizeof(uw)], num_tx_data_bytes-2, 1); #endif pin = input_rx_data + sizeof(uw) + num_payload_data_bytes; /* Read input data bits one at a time. When we have 12 read 11 parity bits. Golay decode. Write decoded (output data) bits every time we have 8 of them. */ num_payload_data_bits = num_payload_data_bytes*8; ninbit = 0; ingolay = 0; ningolay = 0; nparitybits = 0; paritybyte = *pin++; #ifdef DEBUG0 fprintf(stderr," Read paritybyte: 0x%02x\n", paritybyte); #endif pout = output_payload_data; noutbits = 0; outbyte = 0; while (ninbit < num_payload_data_bits) { /* extract input data bit */ ninbyte = ninbit/8 + sizeof(uw); shift = 7 - (ninbit % 8); inbit = (input_rx_data[ninbyte] >> shift) & 0x1; #ifdef DEBUG1 fprintf(stderr, "inbit %d ninbyte: %d inbyte: 0x%02x inbit: %d\n", ninbit, ninbyte, input_rx_data[ninbyte], inbit); #endif ninbit++; /* build up golay codeword */ ingolay = ingolay | inbit; ningolay++; ingolay <<= 1; /* when we get 12 data bits start reading parity bits */ if ((ningolay % 12) == 0) { #ifdef DEBUG0 fprintf(stderr, " ningolay: %d ingolay: 0x%04x\n", ningolay, ingolay>>1); #endif for (i=0; i<11; i++) { shift = 7 - (nparitybits % 8); golayparitybit = (paritybyte >> shift) & 0x1; ingolay |= golayparitybit; if (i != 10) ingolay <<=1; nparitybits++; if ((nparitybits % 8) == 0) { /* OK grab a new byte */ paritybyte = *pin++; #ifdef DEBUG0 fprintf(stderr," Read paritybyte: 0x%02x\n", paritybyte); #endif } } #ifdef DEBUG0 fprintf(stderr, " golay code word: 0x%04x\n", ingolay); fprintf(stderr, " golay decode...: 0x%04x\n", golay23_decode(ingolay)); #endif /* write decoded/error corrected bits to output payload data */ outdata = golay23_decode(ingolay) >> 11; #ifdef DEBUG0 fprintf(stderr, " outdata...: 0x%04x\n", outdata); #endif for(i=0; i<12; i++) { shift = 11 - i; outbit = (outdata >> shift) & 0x1; outbyte |= outbit; noutbits++; if (noutbits % 8) { outbyte <<= 1; } else { #ifdef DEBUG0 fprintf(stderr, " output payload byte: 0x%02x\n", outbyte); #endif *pout++ = outbyte; outbyte = 0; } } ingolay = 0; } } /* while(.... */ #ifdef DEBUG0 fprintf(stderr, "finishing up .....\n"); #endif /* Complete final Golay decode */ int golayparity = 0; if (ningolay % 12) { for (i=0; i<11; i++) { shift = 7 - (nparitybits % 8); golayparitybit = (paritybyte >> shift) & 0x1; golayparity |= golayparitybit; if (i != 10) golayparity <<=1; nparitybits++; if ((nparitybits % 8) == 0) { /* OK grab a new byte */ paritybyte = *pin++; #ifdef DEBUG0 fprintf(stderr," Read paritybyte: 0x%02x\n", paritybyte); #endif } } ingolay >>= 1; int codeword = (ingolay<<12) + golayparity; #ifdef DEBUG0 fprintf(stderr, " ningolay: %d ingolay: 0x%04x\n", ningolay, ingolay); fprintf(stderr, " golay code word: 0x%04x\n", codeword); fprintf(stderr, " golay decode...: 0x%04x\n", golay23_decode(codeword)); #endif outdata = golay23_decode(codeword) >> 11; #ifdef DEBUG0 fprintf(stderr, " outdata...: 0x%04x\n", outdata); fprintf(stderr, " num_payload_data_bits: %d noutbits: %d\n", num_payload_data_bits, noutbits); #endif /* write final byte */ int ntogo = num_payload_data_bits - noutbits; for(i=0; i> shift) & 0x1; outbyte |= outbit; noutbits++; if (noutbits % 8) { outbyte <<= 1; } else { #ifdef DEBUG0 fprintf(stderr, " output payload byte: 0x%02x\n", outbyte); #endif *pout++ = outbyte; outbyte = 0; } } } #ifdef DEBUG0 fprintf(stderr, "\npin - output_payload_data: %ld num_payload_data_bytes: %d\n", pout - output_payload_data, num_payload_data_bytes); #endif assert(pout == (output_payload_data + num_payload_data_bytes)); } #endif #ifdef INTERLEAVER uint16_t primes[] = { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 379, 383, 389, 757, 761, 769, 773 }; void interleave(unsigned char *inout, int nbytes, int dir) { uint16_t nbits = (uint16_t)nbytes*8; uint32_t i, j, n, ibit, ibyte, ishift, jbyte, jshift; uint32_t b; unsigned char out[nbytes]; memset(out, 0, nbytes); /* b chosen to be co-prime with nbits, I'm cheating by just finding the nearest prime to nbits. It also uses storage, is run on every call, and has an upper limit. Oh Well, still seems to interleave OK. */ i = 1; uint16_t imax = sizeof(primes)/sizeof(uint16_t); while ((primes[i] < nbits) && (i < imax)) i++; b = primes[i-1]; for(n=0; n> ishift) & 0x1; jbyte = j/8; jshift = j%8; /* write jbit to ibit position */ out[jbyte] |= ibit << jshift; // replace with i-th bit //out[ibyte] |= ibit << ishift; // replace with i-th bit } memcpy(inout, out, nbytes); #ifdef DEBUG0 printf("\nInterleaver Out:\n"); for (i=0; i> 1) ^ (scrambler & 0x1); /* modify i-th bit by xor-ing with scrambler output sequence */ ibyte = i/8; ishift = i%8; ibit = (inout[ibyte] >> ishift) & 0x1; ibits = ibit ^ scrambler_out; // xor ibit with scrambler output mask = 1 << ishift; inout[ibyte] &= ~mask; // clear i-th bit inout[ibyte] |= ibits << ishift; // set to scrambled value /* update scrambler */ scrambler >>= 1; scrambler |= scrambler_out << 14; #ifdef DEBUG0 printf("i: %02d ibyte: %d ishift: %d ibit: %d ibits: %d scrambler_out: %d\n", i, ibyte, ishift, ibit, ibits, scrambler_out); #endif } #ifdef DEBUG0 printf("\nScrambler Out:\n"); for (i=0; i>b) & 0x1; } return nerr; } /* unit test designed to run on a PC */ /* Horus binary packet */ struct TBinaryPacket { uint8_t PayloadID; uint16_t Counter; uint8_t Hours; uint8_t Minutes; uint8_t Seconds; float Latitude; float Longitude; uint16_t Altitude; uint8_t Speed; // Speed in Knots (1-255 knots) uint8_t Sats; int8_t Temp; // Twos Complement Temp value. uint8_t BattVoltage; // 0 = 0.5v, 255 = 2.0V, linear steps in-between. uint16_t Checksum; // CRC16-CCITT Checksum. } __attribute__ ((packed)); int main(void) { int nbytes = sizeof(struct TBinaryPacket); printf("test 0: BER: 0.00 ...........: %d\n", test_sending_bytes(nbytes, 0.00, 0)); printf("test 1: BER: 0.01 ...........: %d\n", test_sending_bytes(nbytes, 0.01, 0)); printf("test 2: BER: 0.05 ...........: %d\n", test_sending_bytes(nbytes, 0.05, 0)); /* we expect this always to fail, as chance of > 3 errors/codeword is high */ printf("test 3: BER: 0.10 ...........: %d\n", test_sending_bytes(nbytes, 0.10, 0)); /* -DINTERLEAVER will make this puppy pass */ printf("test 4: 8 bit burst error....: %d\n", test_sending_bytes(nbytes, 0.00, 1)); /* Insert 2 errors in every codeword, the maximum correction capability of a Golay (23,12) code. note this one will fail with -DINTERLEAVER, as we can't guarantee <= 3 errors per codeword after interleaving */ printf("test 5: 1 error every 12 bits: %d\n", test_sending_bytes(nbytes, 0.00, 2)); return 0; } #endif #ifdef GEN_TX_BITS /* generate a file of tx_bits to modulate using fsk_horus.m for modem simulations */ int main(void) { int nbytes = sizeof(struct TBinaryPacket); struct TBinaryPacket input_payload; int num_tx_data_bytes = horus_l2_get_num_tx_data_bytes(nbytes); unsigned char tx[num_tx_data_bytes]; int i; /* all zeros is nastiest sequence for demod before scrambling */ memset(&input_payload, 0, nbytes); input_payload.Checksum = gen_crc16((unsigned char*)&input_payload, nbytes-2); horus_l2_encode_tx_packet(tx, (unsigned char*)&input_payload, nbytes); FILE *f = fopen("../octave/horus_tx_bits_binary.txt","wt"); assert(f != NULL); int b, tx_bit; for(i=0; i> (7-b)) & 0x1; /* msb first */ fprintf(f,"%d ", tx_bit); } } fclose(f); return 0; } #endif #ifdef DEC_RX_BITS /* Decode a binary file rx_bytes, e.g. from fsk_horus.m */ int main(void) { int nbytes = 22; unsigned char output_payload[nbytes]; int num_tx_data_bytes = horus_l2_get_num_tx_data_bytes(nbytes); /* real world data horus payload generated when running tx above */ unsigned char rx[45] = { 0x24,0x24,0x01,0x0b,0x00,0x00,0x05,0x3b,0xf2,0xa7,0x0b,0xc2,0x1b, 0xaa,0x0a,0x43,0x7e,0x00,0x05,0x00,0x25,0xc0,0xce,0xbb,0x36,0x69, 0x50,0x00,0x41,0xb0,0xa6,0x5e,0x91,0xa2,0xa3,0xf8,0x1d,0x00,0x00, 0x0c,0x76,0xc6,0x05,0xb0,0xb8}; int i, ret; assert(num_tx_data_bytes == 45); #define READ_FILE /* overwrite tx[] above, that's OK */ #ifdef READ_FILE FILE *f = fopen("../octave/horus_rx_bits_binary.bin","rb"); assert(f != NULL); ret = fread(rx, sizeof(char), num_tx_data_bytes, f); assert(ret == num_tx_data_bytes); fclose(f); #endif golay23_init(); horus_l2_decode_rx_packet(output_payload, rx, nbytes); #ifdef HEX_DUMP fprintf(stderr, "\nOutput Payload:\n"); for(i=0; i #include #include #define X22 0x00400000 /* vector representation of X^{22} */ #define X11 0x00000800 /* vector representation of X^{11} */ #define MASK12 0xfffff800 /* auxiliary vector for testing */ #define GENPOL 0x00000c75 /* generator polinomial, g(x) */ /* Global variables: * * pattern = error pattern, or information, or received vector * encoding_table[] = encoding table * decoding_table[] = decoding table * data = information bits, i(x) * codeword = code bits = x^{11}i(x) + (x^{11}i(x) mod g(x)) * numerr = number of errors = Hamming weight of error polynomial e(x) * position[] = error positions in the vector representation of e(x) * recd = representation of corrupted received polynomial r(x) = c(x) + e(x) * decerror = number of decoding errors * a[] = auxiliary array to generate correctable error patterns */ #ifdef HORUS_L2_RX static int inited = 0; #ifdef RUN_TIME_TABLES static int encoding_table[4096], decoding_table[2048]; #else #include "golayenctable.h" #include "golaydectable.h" #endif #ifdef RUN_TIME_TABLES static int arr2int(int a[], int r) /* * Convert a binary vector of Hamming weight r, and nonzero positions in * array a[1]...a[r], to a long integer \sum_{i=1}^r 2^{a[i]-1}. */ { int i; long mul, result = 0, temp; for (i=1; i<=r; i++) { mul = 1; temp = a[i]-1; while (temp--) mul = mul << 1; result += mul; } return(result); } #endif #endif #ifdef HORUS_L2_RX void nextcomb(int n, int r, int a[]) /* * Calculate next r-combination of an n-set. */ { int i, j; a[r]++; if (a[r] <= n) return; j = r - 1; while (a[j] == n - r + j) j--; for (i = r; i >= j; i--) a[i] = a[j] + i - j + 1; return; } #endif int32_t get_syndrome(int32_t pattern) /* * Compute the syndrome corresponding to the given pattern, i.e., the * remainder after dividing the pattern (when considering it as the vector * representation of a polynomial) by the generator polynomial, GENPOL. * In the program this pattern has several meanings: (1) pattern = infomation * bits, when constructing the encoding table; (2) pattern = error pattern, * when constructing the decoding table; and (3) pattern = received vector, to * obtain its syndrome in decoding. */ { int32_t aux = X22; if (pattern >= X11) while (pattern & MASK12) { while (!(aux & pattern)) aux = aux >> 1; pattern ^= (aux/X11) * GENPOL; } return(pattern); } #ifdef HORUS_L2_RX /*---------------------------------------------------------------------------*\ FUNCTION....: golay23_init() AUTHOR......: David Rowe DATE CREATED: 3 March 2013 Call this once when you start your program to init the Golay tables. \*---------------------------------------------------------------------------*/ void golay23_init(void) { #ifdef RUN_TIME_TABLES int i; long temp; int a[4]; int pattern; /* * --------------------------------------------------------------------- * Generate ENCODING TABLE * * An entry to the table is an information vector, a 32-bit integer, * whose 12 least significant positions are the information bits. The * resulting value is a codeword in the (23,12,7) Golay code: A 32-bit * integer whose 23 least significant bits are coded bits: Of these, the * 12 most significant bits are information bits and the 11 least * significant bits are redundant bits (systematic encoding). * --------------------------------------------------------------------- */ for (pattern = 0; pattern < 4096; pattern++) { temp = pattern << 11; /* multiply information by X^{11} */ encoding_table[pattern] = temp + get_syndrome(temp);/* add redundancy */ } /* * --------------------------------------------------------------------- * Generate DECODING TABLE * * An entry to the decoding table is a syndrome and the resulting value * is the most likely error pattern. First an error pattern is generated. * Then its syndrome is calculated and used as a pointer to the table * where the error pattern value is stored. * --------------------------------------------------------------------- * * (1) Error patterns of WEIGHT 1 (SINGLE ERRORS) */ decoding_table[0] = 0; decoding_table[1] = 1; temp = 1; for (i=2; i<= 23; i++) { temp *= 2; decoding_table[get_syndrome(temp)] = temp; } /* * (2) Error patterns of WEIGHT 2 (DOUBLE ERRORS) */ a[1] = 1; a[2] = 2; temp = arr2int(a,2); decoding_table[get_syndrome(temp)] = temp; for (i=1; i<253; i++) { nextcomb(23,2,a); temp = arr2int(a,2); decoding_table[get_syndrome(temp)] = temp; } /* * (3) Error patterns of WEIGHT 3 (TRIPLE ERRORS) */ a[1] = 1; a[2] = 2; a[3] = 3; temp = arr2int(a,3); decoding_table[get_syndrome(temp)] = temp; for (i=1; i<1771; i++) { nextcomb(23,3,a); temp = arr2int(a,3); decoding_table[get_syndrome(temp)] = temp; } #endif inited = 1; } /*---------------------------------------------------------------------------*\ FUNCTION....: golay23_encode() AUTHOR......: David Rowe DATE CREATED: 3 March 2013 Given 12 bits of data retiurns a 23 bit codeword for transmission over the channel. \*---------------------------------------------------------------------------*/ int golay23_encode(int data) { assert(inited); assert(data <= 0xfff); //printf("data: 0x%x\n", data); return encoding_table[data]; } /*---------------------------------------------------------------------------*\ FUNCTION....: golay23_decode() AUTHOR......: David Rowe DATE CREATED: 3 March 2013 Given a 23 bit received codeword, returns the 12 bit corrected data. \*---------------------------------------------------------------------------*/ int golay23_decode(int received_codeword) { assert(inited); assert((received_codeword < (1<<23)) && (received_codeword >= 0)); //printf("syndrome: 0x%x\n", get_syndrome(received_codeword)); return received_codeword ^= decoding_table[get_syndrome(received_codeword)]; } int golay23_count_errors(int recd_codeword, int corrected_codeword) { int errors = 0; int diff, i; diff = recd_codeword ^ corrected_codeword; for(i=0; i<23; i++) { if (diff & 0x1) errors++; diff >>= 1; } return errors; } #endif // from http://stackoverflow.com/questions/10564491/function-to-calculate-a-crc16-checksum unsigned short gen_crc16(unsigned char* data_p, unsigned char length){ unsigned char x; unsigned short crc = 0xFFFF; while (length--){ x = crc >> 8 ^ *data_p++; x ^= x>>4; crc = (crc << 8) ^ ((unsigned short)(x << 12)) ^ ((unsigned short)(x <<5)) ^ ((unsigned short)x); } return crc; }