A
- absolute optimal code, 38, 39, 42, 44
- algebra
- alphabet, 8, 13, 19, 20, 31, 32, 35–38, 123, 125, 127, 139, 148, 152, 220
- analytical signal, 251, 252
- autocorrelation and cross-correlation
- functions, 102
- autocorrelation function, 103, 104, 126, 127, 153, 154, 238, 239
B
- binary biphase
- binary code (see also duobinary code)
- binary to M-ary transcoding, 123, 124
- bipolar RZ code or AMI code, 141–143, 146
- BPSK, 229, 259–262, 265, 267–279, 290, 291
C
-
- calculation of conditional
- probabilities of erroneous decision, 181
- capacity, efficiency and redundancy
- of a code, 38
- channel
- coding, 3, 4, 9, 47
- discrete, 20, 27
- capacity, redundancy and efficiency of a, 27
- CIR (4, 4, 4, 4) modulation, 280, 281
- CMI code, 144, 145
- codeword, 32–38, 41, 43, 48, 50–54, 56–58, 61, 63, 65–67, 69, 70, 72, 82, 95, 123
- average length, 36–38
- minimum average length, 37, 38
- coding
- and decoding by division circuit, 81
- and decoding circuits, 62, 73, 78, 267
- by division, 72
- by multiplication, 72, 92, 93
- communication, 3–10, 27, 47, 83, 97, 98, 106, 109, 120, 170, 201, 203, 223, 226, 227, 233, 243
- modes of, 6, 7
- principle of, 7, 8
- systems, 4–10, 27, 47, 83, 97, 106, 109, 170, 201, 203
- complex envelope, 234, 246–248, 251, 253, 254, 256, 271
- constellation diagram, 235, 241, 243–246, 259, 272, 273, 275, 276, 280, 283
- choosing a, 245
- control word, 50, 53, 72, 73
- corrected signal, 172
- cyclic codes, 49, 65, 68, 70, 71, 82, 86, 89, 92, 95, 96
- detection of standard errors, 95
- theorem, 70
- cyclostationary, 126, 238–240
D
- decipherable code, 34
- decision
- decoding ball, 54
- demodulator, 9, 47, 230, 259, 260, 273, 280–282
- description and spectral characterization of partial response linear codes, 147
- digital transmission, 11, 97, 117, 120, 124, 146, 167–169, 223, 224, 244, 246, 247, 251, 254, 257, 258, 261
- equivalent baseband, 246, 247, 251, 254, 258
- systems standardized in Europe, 168, 169
- with carrier modulation, 224, 257, 261
- disturbance, 3–5, 10, 22, 23, 47–49, 119
- division circuit
- DS-CDMA, 225–227, 231
- dual code, 58, 71
- duobinary code (see also binary code), 155, 157, 159, 212, 213, 217
- transmission using the, 213
E
- emitted signal, 9, 128, 233
- entropy, 16, 18–24, 29, 37–40, 47
- conditional, 22, 29
- of a source, 18
- of the 2nd order extension of a source, 39
- properties of, 19
- with k random variables, 29
- equalizer, 206
- equivalent
- error
- eye diagram, 176–178, 246
F, G
- FDMA, 225, 227, 231
- frequency response, 150, 163, 201, 202, 216, 217
- generating
- matrix, 55–58, 68, 69
- polynomials, 66, 68–70, 85, 87, 92, 106, 108, 111
- Gold sequence, 107–109
H
- Hamming
- codes, 53, 55, 59, 63
- decoder, 62, 63
- distance, 51
- encoder, 62
- extension of Hamming’s codes, 63
- theorem, 54, 55
- weight, 50, 51
- HDB-n, 125, 144–146
- Hermitian symmetry, 255
- Huffman code, 41–45
I
- impulse response, 126, 148, 149, 161, 165, 171, 172, 187, 201, 202, 206, 247
- information, 1, 3–10, 13–20, 22, 25–27, 31, 37, 41, 43, 45, 47, 49, 50, 53, 54, 56, 57, 61, 62, 69, 71–73, 76, 81, 85, 86, 88, 91, 92, 94, 97, 123, 125, 144, 168, 179, 217, 225, 230, 231, 237, 244, 249, 251, 256, 267
- amount of, 3, 16, 18, 26, 37
- measurement of, 3, 4, 13
- mutual, 25–27, 31
- rate, 20
- source, 3, 10, 14, 15, 18, 20, 144
- word, 50, 53, 54, 56, 57, 61, 72, 73, 85, 86, 92
- instantaneous code (irreducible code), 33–36
- interleaved order 2 bipolar code, 160
K, L
- Kasami sequence, 109, 110
- Kraft and McMillan, 36
- left circular permutation, 66–68
- linear
- digital modulation, 237, 243, 258, 291
- feedback shift register (LFSR), 83, 85, 87, 98, 113
- encoder and decoder, 85, 87, 88
- group codes, 53
M
- M-ary
- to signal coding, 120, 123, 124, 208
- transmission of an M-ary digital signal through a noisy low-pass channel, 170
- M-PSK, 252, 258, 267, 290
- differential receiver, 267
- M-QAM, 252, 274
- M-sequence
- maximum a posteriori likelihood
- mean value, 22, 101, 142, 181, 238, 239
- message, 5, 7–10, 13, 31, 41, 119, 123, 139, 163, 173, 180, 188, 193, 195
- Miller’s code, 140, 141
- modulated signal, 9, 167, 230, 237, 238, 241, 245, 251, 253, 260, 262, 264, 265, 271, 273, 275, 277, 279, 282, 290
- general characteristics, 238
- modulator, 9, 47, 230, 241–243, 259–265, 273–275, 277–283, 290
- multiple
- access techniques and most common standards, 225–227, 231
- paths, 226, 232, 236
N
- network, 6, 7, 66, 119, 168, 169
- noise, 9, 10, 23, 25, 26, 28, 47, 97, 104, 119, 138, 141, 149, 157, 171–173, 177, 178, 181, 182, 189, 200, 203–212, 222, 224, 245, 248–250, 258, 267
- noiseless, 25, 26, 176
- NRZ
- NRZ-L code, 125, 128–130, 155
- NRZ-M code, 102, 103, 125, 130, 131
- Nyquist
- frequency criterion, 196–201, 206, 261, 262, 265, 277, 279, 289, 290
- temporal criterion, 196
O
- OFDM, 226, 229
- on-line codes, 123, 125–129, 131–139, 141, 142, 144, 145, 147, 153, 155, 156, 158–160, 166
- criteria for choosing an, 125
- power spectral density of partial response linear, 153
- optimal
- decision threshold, 177, 184, 258
- distribution of filtering, 206
- OQPSK, 271–273, 291
P
- performance, 10, 31, 45, 50, 115, 246, 291
- polar RZ code, 136
- power
- amplifiers, 224, 232, 235, 236, 280
- effects of nonlinearities, 235, 236
- spectral density, 28, 105, 125–139, 141–143, 145–147, 153, 154, 157, 158, 160, 163, 165, 166, 171, 173, 207, 239–241
- precoding, 148, 149, 154, 164, 217, 219
- structure of the coder and, 150
- prefix, 34, 35, 42, 226
- probability of error, 11, 51, 168, 179, 180, 184–193, 195, 208, 211, 212, 220, 222, 245, 258
- average, 51, 188
- case of binary RZ code, 185
- case of binary symbols, 180
- case of bipolar code, 193
- general case of M-ary symbols, 187
- PSK, 226, 229, 235, 252, 258–274, 277–291
Q, R
- QAM, 226, 229, 247, 252, 259, 274–280, 290, 291
- QPSK, 229, 235, 262–266, 268–274, 277–279, 290, 291
- quadrature digital linear modulations, 241
- raised cosine functions, 201
- received signal, 9, 106, 125, 207, 226, 232–234, 267, 271
- recipient, 3, 5–9, 13
S
- sender, 3, 5, 7, 8
- Shannon–Fano code, 42, 43, 45
- single decoding code, 32
- source
- coding, 3, 4, 9, 10, 31, 47
- discrete, 13, 14
- ergodic, 15
- k-order extension of a, 39, 41
- Markovian, 15
- redundancy of a, 9, 20, 31
- simple, 14
- spatial diagram, 241, 243, 244
- spectral occupancy, 134, 138–140, 143, 145, 163, 260, 265, 273, 277, 289, 291
- suffix, 44
- syndrome, 59, 61, 62, 64, 82
- systematic code, 57, 58, 72, 92
T
- TDMA, 225–227, 231
- telecommunications, 4, 5, 7, 11, 224, 227, 230
- test matrix, 55, 57
- transcoding, 123, 124, 148, 152, 156, 159, 217, 219, 267
- transmission
- channel, 3, 8–10, 20, 21, 22, 47, 48, 76, 97, 119, 125, 147, 170–172, 175, 197, 206, 211, 223–225, 232, 261, 266, 274
- using 2nd order interleaved bipolar code, 215
- with a partial response linear coder, 212
- Trivium, 97, 112–115
U, W
- UMTS, 224, 226, 227, 229
- uncertainty, 13, 16, 22, 23, 26
- useful signal, 171, 173, 215, 230, 249
- WAL1, 155, 164–166
- WAL2, 155, 164–166
- waveform shaping, 148, 155, 159
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