Lecture 1 Goals: Understand IS-95 cellular communication systems Understand IS-5/136 cellular communication systems Understand GSM cellular communication systems Digital Cellular Communications Consider a cellular communications system with hexagonal cells each containing a base station and a number of mobile units Reading: Chapter 17 of text XIV-1 XIV- Figure 11: Celluar Communication System Forward Channel (Outbound) The link from the base station to the mobile unit Reverse Channel (Inbound) The link from the mobile to the base station Assumptions Each cell is divided into 3 sectors and perfect isolation is possible between sectors All users employ different spreading codes Perfect power control (all fast fading (Rayleigh) and slow fading (due to shadowing) The power received at the mobile (or base) from different users is the same Negligible thermal noise Voice Activity results in reduced interference Every cell uses the same frequency band Interference from other cells is XIV-3 XIV-
1 included Bandwidth W, Data Rate R b Consider user A The output of the receiver matched to user A s code sequence is X T where η accounts for the interference from all other users and b denotes the data bit transmitted 1 1 The variance of η is given by σ Eb K 1 3N E assuming random delays for the interfering users and random phases If on the other hand we looked at the worst possible phase and delay for each η of the interfering users the variance would be σ K 1 N E The ratio of the magnitude of the output due to the desired signal and the square root of the variance of the interference determines the signal-to-noise ratio Assuming the worst case phases and delays SNR E σ N K 1 If we were not using any coding then the error probability (under a Gaussian approximation) is given by P e b QSNR For other coding schemes the relation between the error probability and signal-to-noise ratio is more complicated However, if an acceptable signal-to-noise ratio (at the output of the XIV-5 XIV-6 demodulator) is determined from the coding scheme employed then it is possible to calculate the capacity (calls per cell) of a Direct Sequence CDMA The voice activity factor (usually taken to be 1/) reduces the amount of interference by turning down the power when slower data rates are possible (because of voice inactivity) The interference from other cells is taken to be 66% of the interference from within the cell of the user Thus the variance of the interference can be modified to taken account the voice activity and the interference from other cells as follows σ K 1 NF ED where D Voice Activity Factor F FrequencyReuse Factor The modified signal-to-noise ratio is SNR N K 1 F D FW K 1 1 RbD Thus the number of calls per sector K s for an output signal-to-noise ratio of SNR is K s W 1 R b SNR W 1 R b SNR 1 D F 1 D F 6 XIV-7 XIV-8
The number of calls per cell is then K c is given by Example K s SNR W R b G G W R b 1 SNR 1 5 MHz 1 D F 96 bits/second 6dB 3 sectors/cell Users/cell for DS-CDMA = 117 users per 15 MHz per cell FDMA has a capacity of 6 channels or users per cell per 15 MHz TDMA has a capacity of 176 channels or users per cell per 15 MHz Caveat: These number are quite optimistic (especially for DS-CDMA) Many engineers believe that the capacity for CDMA is more realistically on the order of -5 calls/cell Imperfect power control is one key factor that reduces the actual capacity coupled with the fast fading which can not be compensated for by power control Other engineers have proposed a Frequency-Hopped CDMA system where the users within a cell hop synchronously (without causing interference to users within the same cell) The claimed capacity for this version the use of coding and diversity with maximal ratio combining is 8 calls/cell The advantages of slow frequency hopped include the fact that the bandwidth allocated need not be contiguous and thus spectrum management is easier Slow frequency hopping is more robust to power control failures Interference from within a cell is eliminated on both the forward and reverse link because the multipath are not resolvable and thus act as a Rayleigh or Rician fading process Yet other engineers have proposed Broad-Band Direct Sequence Code Division Multiple-Access This system has a chip rate of 1 Mchips/bit With XIV-9 XIV-1 Advantages of CDMA for Digital Cellular Voice Activity No Equalizer (to eliminate intersymbol interference) the high chip rate it is possible to resolve more of the multipaths and thus nearly eliminate Rayleigh fading Claims between 3-5 additional users (without changing the analog system) or about -6 additional users/15 MHz One Radio per Basestation (Front end) Soft Handoff No Guard Time (Required by TDMA) Less Fading Frequency Management Eliminated Frequency Reuse=1 Disadvantages: Power Control Transition from Narrowband system to wideband system XIV-11 XIV-1
IS-95 Standard for Cellular Transmission Speech Encoding Network Issues Reverse Link Error Control Coding Modulation Spreading Forward Link Error Control Coding Modulation Spreading Speech Encoder Voice is encoded by means of a variable rate speech encoder The possible data rates are 86 bps, bps, bps, 8 bps When operating at a lower rate users turn down the power on forward link and gate the power off on the reverse link (to maintain a fixed E b cause less interference for other users After a small amount of overhead (CRC and tail bits for the convolutional code) the rates are 96, 8, and 1 bits/second N) and thus The system bandwidth of 13MHz using pseudo-random spreading-codes Multiple users occupy the whole bandwidth simultaneously (but with different phases of a very long spreading code) The near-far problem typical of DS-CDMA is solved with power control XIV-13 XIV-1 Forward Traffic Channels Network Issues Logically there are a number of different channels (using different orthogonal Walsh functions on the forward link and different phases of a spreading code on the reverse link) besides those used for sending voice traffic These include the following: Pilot Chan Sync Chan Paging Ch 1 Paging Ch 7 Forward CDMA Channels 13MHz channel transmitted by base station Traffic Ch 1 Traffic Ch n W W 3 W 1 W 7 W 8 W 63 Traffic Ch 55 Traffic Data Power Control Addressed by Orthogonal Walsh Code XIV-15 XIV-16
Forward Traffic Channels Pilot Channel: Transmitted on the forward channel and used to identify the base stations within range of the mobile The mobile keeps a list of the nearest base stations This channel is also used to provide phase synchronization for the mobile and channel gain estimates Paging Channel: Transmitted on the forward channel and used in setting up a call to or from a mobile Transmits data at rates of, 8, 96 bps Used to assign a Walsh code (Hadamard sequence) for the forward traffic channel It is also used to identify other neighboring base stations for the purpose of handoff processing Forward Traffic Channels (cont) Sync Channel: Transmitted on the forward channel and used to bring the mobile unit into synchronization (timing) with the base Contains timing information with regard to the long code that is used to identify users Power Control Subchannel: Transmitted on the forward channel The voice traffic is replaced with power control bits once every 15ms or power control group to used by the mobile to increase or decrease the transmitted power One power control bit is transmitted with duration of modulation symbols or 1 166µs The power level for transmission of the power control bit is the same as would be transmitted by a full rate (high power) traffic channel even when the traffic channel is transmitting at a lower power level XIV-17 XIV-18 Reverse Traffic Channels Reverse CDMA Channels 13MHz channel received by base station Reverse Traffic Channels Access Channel: Transmitted on the reverse channel and used to alert the base to mobile initiated calls and to respond to pages (on the paging channel) It is used in a random access mode (Aloha) by mobiles Access Ch 1 Access Ch n Traffic Ch 1 Traffic Ch n Traffic Channel: Transmitted on the forward and reverse links Used to transmit voice or data traffic Can operate at rates of 1bps, bps, 8bps, and 96bps Addressed by Long Code XIV-19 XIV-
Information Bits per Frame 17 8 16 Data Rate 86kbps kbps kbps 8kbps Block Diagram of Transmitter Add 1/8 bit CRC for 96 and 8bps rates Block Interleaver 18 88 16 9kbps kbps kbps 8kbps 6-ary Orthogonal Modulator 6 6 Add 8 bit Encoder Tail 61 Walsh chips 37kbps 19 96 8 96kbps 8kbps kbps 1kbps Data Burst Randomizer Rate 1/3 Convolutional Encoder + Long Code Generator 576 88kbps 188Mcps I 576 chips 188Mcbps Q Reverse Link Traffic Channel Parameter Data Rate bps Parameters 96 8 1 Units PN Chip Rate 188 188 188 188 Mcps Code Rate 1/3 1/3 1/3 1/3 Mcps Duty Cycle 1 5 5 15 percent Code Symbol Rate 88 88 88 88 sps Modulation 6 6 6 6 code sym/mod symbol Walsh Chip Rate 37 37 37 37 kcps Mod Symbol Duration 833 833 833 833 µs PN Chips/Code Symbol 67 67 67 67 PN Chips/Mod Symbol 56 56 56 56 PN Chips/Walsh Chip Long Code Mask XIV-1 XIV- 1 bit CRC Encoder Input 8 bit CRC Encoder + + + + + + + Input + + + + + Output Figure 1: 1 bit CRC Encoder Switches are up for first 17 bits and down for last 1 bits Figure 13: 8 bit CRC Encoder Switches are up for first 17 bits and down for last 8 bits XIV-3 XIV-
Constraint Length 9, Rate 1/3 Convolutional Encoder Information Bits + + + c Code Symbols c 1 c Interleaver The convolutional encoder output is interleaved using different size interleavers For the high rate data stream the interleaver is a 3 by 18 interleaver Symbols are written into the interleaver memory column-wise and read out row-wise Thus if the sequence of symbols at the input to the interleaver is c 1,c,c 3, the sequence of symbols at the output of the interleaver is c 1 c33 c 65 For the 96 bps channel the rows are read out consecutively For the 8bps channel the rows are read out in the following order 1 3 5 7 6 8 9 11 1 1 13 15 1 1 17 19 18 1 3 5 7 6 8 9 31 3 3 For the Access channel the rows are read out in the following order 1 17 9 5 5 1 13 9 3 19 11 7 7 3 15 31 18 1 6 6 1 3 1 8 8 16 3 XIV-5 XIV-6 1 33 65 97 19 161 193 5 57 89 31 353 385 17 9 81 513 55 3 66 98 13 16 19 6 58 9 3 35 386 18 5 8 51 56 3 35 67 99 131 163 195 7 59 91 33 355 387 19 51 83 515 57 36 68 1 13 16 196 8 6 9 3 356 388 5 8 516 58 5 37 69 11 133 165 197 9 61 93 35 357 389 1 53 85 517 59 6 38 7 1 13 166 198 3 6 9 36 358 39 5 86 518 55 7 39 71 13 135 167 199 31 63 95 37 359 391 3 55 87 519 551 8 7 1 136 168 3 6 96 38 36 39 56 88 5 55 9 1 73 15 137 169 1 33 65 97 39 361 393 5 57 89 51 553 1 7 16 138 17 3 66 98 33 36 39 6 58 9 5 55 11 3 75 17 139 171 3 35 67 99 331 363 395 7 59 91 53 555 1 76 18 1 17 36 68 3 33 36 396 8 6 9 5 556 13 5 77 19 11 173 5 37 69 31 333 365 397 9 61 93 55 557 1 6 78 11 1 17 6 38 7 3 33 366 398 3 6 9 56 558 15 7 79 111 13 175 7 39 71 33 335 367 399 31 63 95 57 559 16 8 8 11 1 176 8 7 3 336 368 3 6 96 58 56 17 9 81 113 15 177 9 1 73 35 337 369 1 33 65 97 59 561 18 5 8 11 16 178 1 7 36 338 37 3 66 98 53 56 19 51 83 115 17 179 11 3 75 37 339 371 3 35 67 99 531 563 5 8 116 18 18 1 76 38 3 37 36 68 5 53 56 1 53 85 117 19 181 13 5 77 39 31 373 5 37 69 51 533 565 5 86 118 15 18 1 6 78 31 3 37 6 38 7 5 53 566 3 55 87 119 151 183 15 7 79 311 33 375 7 39 71 53 535 567 56 88 1 15 18 16 8 8 31 3 376 8 7 5 536 568 5 57 89 11 153 185 17 9 81 313 35 377 9 1 73 55 537 569 6 58 9 1 15 186 18 5 8 31 36 378 1 7 56 538 57 7 59 91 13 155 187 19 51 83 315 37 379 11 3 75 57 539 571 8 6 9 1 156 188 5 8 316 38 38 1 76 58 5 57 9 61 93 15 157 189 1 53 85 317 39 381 13 5 77 59 51 573 3 6 9 16 158 19 5 86 318 35 38 1 6 78 51 5 57 31 63 95 17 159 191 3 55 87 319 351 383 15 7 79 511 53 575 3 6 96 18 16 19 56 88 3 35 38 16 8 8 51 5 576 Interleaver For the 8 bps data rate each symbol is repeated twice in the interleaver memory However, one of the two rows is not actually transmitted Which row is selected is determined from the data bit randomizer Similarly, for the bps data rate each symbol is repeated four times but only one of every set of four rows is actually transmitted For the 1 bps data rate each symbol is repeated 8 times but only one of every 8 rows is selected by the data burst randomizer XIV-7 XIV-8
1 17 33 9 65 81 97 113 19 15 161 177 193 9 5 1 57 73 1 17 33 9 65 81 97 113 19 15 161 177 193 9 5 1 57 73 18 3 5 66 8 98 11 13 16 16 178 19 1 6 58 7 18 3 5 66 8 98 11 13 16 16 178 19 1 6 58 7 3 19 35 51 67 83 99 115 131 17 163 179 195 11 7 3 59 75 3 19 35 51 67 83 99 115 131 17 163 179 195 11 7 3 59 75 36 5 68 8 1 116 13 18 16 18 196 1 8 6 76 36 5 68 8 1 116 13 18 16 18 196 1 8 6 76 5 1 37 53 69 85 11 117 133 19 165 181 197 13 9 5 61 77 5 1 37 53 69 85 11 117 133 19 165 181 197 13 9 5 61 77 6 38 5 7 86 1 118 13 15 166 18 198 1 3 6 6 78 6 38 5 7 86 1 118 13 15 166 18 198 1 3 6 6 78 7 3 39 55 71 87 13 119 135 151 167 183 199 15 31 7 63 79 7 3 39 55 71 87 13 119 135 151 167 183 199 15 31 7 63 79 8 56 7 88 1 1 136 15 168 18 16 3 8 6 8 8 56 7 88 1 1 136 15 168 18 16 3 8 6 8 9 5 1 57 73 89 15 11 137 153 169 185 1 17 33 9 65 81 9 5 1 57 73 89 15 11 137 153 169 185 1 17 33 9 65 81 1 6 58 7 9 16 1 138 15 17 186 18 3 5 66 8 1 6 58 7 9 16 1 138 15 17 186 18 3 5 66 8 11 7 3 59 75 91 17 13 139 155 171 187 3 19 35 51 67 83 11 7 3 59 75 91 17 13 139 155 171 187 3 19 35 51 67 83 1 8 6 76 9 18 1 1 156 17 188 36 5 68 8 1 8 6 76 9 18 1 1 156 17 188 36 5 68 8 13 9 5 61 77 93 19 15 11 157 173 189 5 1 37 53 69 85 13 9 5 61 77 93 19 15 11 157 173 189 5 1 37 53 69 85 1 3 6 6 78 9 11 16 1 158 17 19 6 38 5 7 86 1 3 6 6 78 9 11 16 1 158 17 19 6 38 5 7 86 15 31 7 63 79 95 111 17 13 159 175 191 7 3 39 55 71 87 15 31 7 63 79 95 111 17 13 159 175 191 7 3 39 55 71 87 16 3 8 6 8 96 11 18 1 16 176 19 8 56 7 88 16 3 8 6 8 96 11 18 1 16 176 19 8 56 7 88 1 9 17 5 33 1 9 57 65 73 81 89 97 15 113 11 19 137 1 9 17 5 33 1 9 57 65 73 81 89 97 15 113 11 19 137 1 9 17 5 33 1 9 57 65 73 81 89 97 15 113 11 19 137 1 9 17 5 33 1 9 57 65 73 81 89 97 15 113 11 19 137 1 18 6 3 5 58 66 7 8 9 98 16 11 1 13 138 1 18 6 3 5 58 66 7 8 9 98 16 11 1 13 138 1 18 6 3 5 58 66 7 8 9 98 16 11 1 13 138 1 18 6 3 5 58 66 7 8 9 98 16 11 1 13 138 3 11 19 7 35 3 51 59 67 75 83 91 99 17 115 13 131 139 3 11 19 7 35 3 51 59 67 75 83 91 99 17 115 13 131 139 3 11 19 7 35 3 51 59 67 75 83 91 99 17 115 13 131 139 3 11 19 7 35 3 51 59 67 75 83 91 99 17 115 13 131 139 1 8 36 5 6 68 76 8 9 1 18 116 1 13 1 1 8 36 5 6 68 76 8 9 1 18 116 1 13 1 1 8 36 5 6 68 76 8 9 1 18 116 1 13 1 1 8 36 5 6 68 76 8 9 1 18 116 1 13 1 5 13 1 9 37 5 53 61 69 77 85 93 11 19 117 15 133 11 5 13 1 9 37 5 53 61 69 77 85 93 11 19 117 15 133 11 5 13 1 9 37 5 53 61 69 77 85 93 11 19 117 15 133 11 5 13 1 9 37 5 53 61 69 77 85 93 11 19 117 15 133 11 6 1 3 38 6 5 6 7 78 86 9 1 11 118 16 13 1 6 1 3 38 6 5 6 7 78 86 9 1 11 118 16 13 1 6 1 3 38 6 5 6 7 78 86 9 1 11 118 16 13 1 6 1 3 38 6 5 6 7 78 86 9 1 11 118 16 13 1 7 15 3 31 39 7 55 63 71 79 87 95 13 111 119 17 135 13 7 15 3 31 39 7 55 63 71 79 87 95 13 111 119 17 135 13 7 15 3 31 39 7 55 63 71 79 87 95 13 111 119 17 135 13 7 15 3 31 39 7 55 63 71 79 87 95 13 111 119 17 135 13 8 16 3 8 56 6 7 8 88 96 1 11 1 18 136 1 8 16 3 8 56 6 7 8 88 96 1 11 1 18 136 1 8 16 3 8 56 6 7 8 88 96 1 11 1 18 136 1 8 16 3 8 56 6 7 8 88 96 1 11 1 18 136 1 XIV-9 XIV-3 1 5 9 13 17 1 5 9 33 37 1 5 9 53 57 61 65 69 1 5 9 13 17 1 5 9 33 37 1 5 9 53 57 61 65 69 1 5 9 13 17 1 5 9 33 37 1 5 9 53 57 61 65 69 1 5 9 13 17 1 5 9 33 37 1 5 9 53 57 61 65 69 1 5 9 13 17 1 5 9 33 37 1 5 9 53 57 61 65 69 1 5 9 13 17 1 5 9 33 37 1 5 9 53 57 61 65 69 1 5 9 13 17 1 5 9 33 37 1 5 9 53 57 61 65 69 1 5 9 13 17 1 5 9 33 37 1 5 9 53 57 61 65 69 6 1 1 18 6 3 3 38 6 5 5 58 6 66 7 6 1 1 18 6 3 3 38 6 5 5 58 6 66 7 6 1 1 18 6 3 3 38 6 5 5 58 6 66 7 6 1 1 18 6 3 3 38 6 5 5 58 6 66 7 6 1 1 18 6 3 3 38 6 5 5 58 6 66 7 6 1 1 18 6 3 3 38 6 5 5 58 6 66 7 6 1 1 18 6 3 3 38 6 5 5 58 6 66 7 6 1 1 18 6 3 3 38 6 5 5 58 6 66 7 3 7 11 15 19 3 7 31 35 39 3 7 51 55 59 63 67 71 3 7 11 15 19 3 7 31 35 39 3 7 51 55 59 63 67 71 3 7 11 15 19 3 7 31 35 39 3 7 51 55 59 63 67 71 3 7 11 15 19 3 7 31 35 39 3 7 51 55 59 63 67 71 3 7 11 15 19 3 7 31 35 39 3 7 51 55 59 63 67 71 3 7 11 15 19 3 7 31 35 39 3 7 51 55 59 63 67 71 3 7 11 15 19 3 7 31 35 39 3 7 51 55 59 63 67 71 3 7 11 15 19 3 7 31 35 39 3 7 51 55 59 63 67 71 8 1 16 8 3 36 8 5 56 6 6 68 7 8 1 16 8 3 36 8 5 56 6 6 68 7 8 1 16 8 3 36 8 5 56 6 6 68 7 8 1 16 8 3 36 8 5 56 6 6 68 7 8 1 16 8 3 36 8 5 56 6 6 68 7 8 1 16 8 3 36 8 5 56 6 6 68 7 8 1 16 8 3 36 8 5 56 6 6 68 7 8 1 16 8 3 36 8 5 56 6 6 68 7 Orthogonal Signals XIV-31 XIV-3
11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 XIV-33 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 XIV-3 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 XIV-35 1111 1111 1111 1111 1111 1111 1111 1111 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 b 1 b b 171 b 17 b 1 b b 171 b 17 d 1 d 1 t 1 t 7 t 8 c 1 c c 3 c c 5 c 6 c 571 c 57 c 573 c 57 c 575 c 576 c 1 c 33 c 65 c 97 c 19 c 161 c 16 c 8 c 8 c 51 c 5 c 576 w 1 w w 6 w 681 w 61 XIV-36
Data Bits Long Code Shift Register 6 Coded Bits 6 Walsh Chips XIV-37 XIV-38 Spreading Long Code Mask The mask for the long code depends on the channel type (traffic or access) When using the access channel the 9 high order bits of the mask are set to 111111 The next 5 bits are set the the access channel number The next 3 bits are set to correspond to the associate paging channel Then next 16 bits are set to the base ID while the lowest 9 bits correspond to the pilot pn value for the current CDMA channel The 9 high order bits for the mask for the long code for the reverse traffic channel are 1111 while the low order 3 bits are set to a permutation of the mobiles electronic serial number (ESN) Each Walsh chip w i is spread by a factor of using the long code Then each of the chips is used for both the inphase and quadrature phase channels Each of these channels is scrambled according to the base stations short codes This scrambling is equivalent to a phase shifter as shown below Let u be the output of the long code spreading operation Then if we express the inphase and quadrature phase signals as complex variables the output after scrambling by the short codes s i sq si s q v 1 is usi jusq u s jsq i After receiving the signal there is some unknown phase shift (due to delay) in XIV-39 XIV-
the received signal The received signal is r ve jθ (-1,+1) Quadrature-Phase Signal (+1,+1) To remove this scrambling function we must multiply by s i z r s i ve jθ si u ue jθ js q s sq i js q e jθ js q (-1,-1) (+1,-1) In-Phase Signal Since s sj i wehaveremoved all aspect of the scrambling function from the desired user Figure 1: Offset QPSK Constellation XIV-1 XIV- Reason for Offset QPSK on Reverse Link (Mobile-to-Bas Short Codes The two short codes are generated by m-sequences with feedback connections i n q n in 15 qn 15 in 1 i n 8 q n 1 q n 11 in 7 i n in 6 qn 1 q n 9 qn 5 q n qn 3 When the shift register is in the state with 1 zeros and 1 one a zero is inserted to make the length of the sequence 15 (instead of 15 1) Each base station uses the same shift register for the short code but the phase of the sequence is shifted by multiples of 6 chips between one base station and another base station On the link from the mobile to base battery power is a crucial issue The use of high efficiency amplifiers warrants the use of amplifiers operating in the nonlinear range If the signal is not of constant envelope or nearly constant envelope there would be distortion to the signal when amplified For a nonconstant envelope signal the nonlinearity can regenerate some sidebands that have been filtered out by the baseband filters If standard QPSK had been used the signal would be much less constant envelope (the signal going through the origin would have significant envelope variations especially after being filtered) This would cause significant distortion of the signal and the regeneration of the sidebands On the link from the base to the mobile battery life is not an issue and only one amplifier needs to be built (for all of the signals) Thus some care can go XIV-3 XIV-
Phase Shifting Network x in x out xinzr yinzi into designing a linear amplifier y in y out yinzr xinzi z r z i The above phase shifter does the following computation x in jy in z r jz i xinzr yinzi j y in z r x in z i XIV-5 XIV-6 where re jθ zi jz q r x in jy in e jθ Frame Structure XIV-7 XIV-8
Reverse Link Information Bits per Frame 17 8 16 Data Rate 86kbps kbps kbps 8kbps Add 1/8 bit CRC for 96 and 8bps rates 18 88 16 9kbps kbps kbps 8kbps Add 8 bit Encoder Tail 19 96 8 96kbps 8kbps kbps 1kbps Rate 1/3 Convolutional Encoder 576 88kbps Block Interleaver Repeat 6-ary Orthogonal Modulator 6 6 61 Walsh chips 37kbps Data Burst Randomizer I short code generator 576 chips 188Mcps 188Mcps D Tc I Q Baseband Filter Baseband Filter cos fct Q short code generator sin fct Long Code Generator Long Code Mask XIV-9 XIV-5 Block Diagram of Mobile Transmitter Access Channel Reverse Link Access Channel Parameters Data Rate (bps) Information Bits per Frame 88 Data Rate kbps Add 8 bit Encoder Tail 6-ary Orthogonal Modulator 6 6 96 8kbps 61 Walsh chips 37kbps Rate 1/3 Convolutional Encoder Long Code Generator 188Mcps 88 576 1kbps Repeat I short code generator 576 chips D Q short code generator 88kbps I Q Block Interleaver Baseband Filter Baseband Filter cos fct sin fct Parameters 8 Units PN Chip Rate 188 Mcps Code Rate 1/3 Mcps Code Symbol Repetition Duty Cycle 1 percent Code Symbol Rate 88 sps Modulation 6 code sym/mod symbol Modulation Symbol Rate 8 symbols/sec Walsh Chip Rate 37 kcps Mod Symbol Duration 833 µs PN Chips/Code Symbol 67 Long Code Mask PN Chips/Mod Symbol 56 PN Chips/Walsh Chip XIV-51 XIV-5
Bits per Frame 17 8 16 Data Rate 86kbps kbps kbps 8kbps Encoder for Reverse Link of IS-95 Add 1/8 bit CRC for 96 and 8bps rates 18 88 16 9kbps kbps kbps 8kbps Add 8 bit Encoder Tail 19 96 8 96kbps 8kbps kbps 1kbps Rate 1/3 Convolutional Encoder Spreading for Reverse Link of IS-95 Repeat and Block Interleaver 61 Walsh 6-ary chips per ms Orthogonal Data Burst + Modulator Randomizer 6 6 37kbps 188Mcbps 576 bits/ms 88kbps Long Code Generator Long Code Mask I Channel Sequence + + Q Channel Sequence 576 chips 188Mcps XIV-53 XIV-5 Frame Structure b 1 b Encode c 1 c c 3 c c 5 c 6 Interleave c 1 c 33 c 65 c 97 c 19 c 161 Walsh Code Modulate Information b 1 b CRC and Tail b 1 b Encode c 1 c c 3 c c 5 c 6 Interleave c 1 c 33 c 65 c 97 c 19 c 161 WalshCode w 1 w w6 b171b17 d1 b171b17 d 1 t 1 t 7 t 8 c571c57c573c57c575c57 c16c8c8c51c5c57 w 681w61 w 1 Spread each Walsh chip with chips from the long and short code w 6 XIV-55 XIV-56
Notes Reverse Channel Modulation 1 For a 96 bps frame the data burst randomizer does nothing For a 8 bps frame the data burst randomizer removes half of the power control bit groups The ones removed depend on the state of the long code generator in the previous speech frame 3 For a bps frame the data burst randomizer removes three quarters of the power control bit groups Baseband Filter cos f c t For a 1 bps frame the data burst randomizer removes seven eights of the power control bit groups 5 The set of power control groups transmitted by a 1 bps frame is a subset of that transmitted by a bps frame which is a subset of that transmitted by a 8bps frame Delay T c Baseband Filter sin f c t XIV-57 XIV-58 Filter Characteristics for Baseband Filter Reason for Offset QPSK on Reverse Link (Mobile-to-Bas On the link from the mobile to base battery power is a crucial issue The use of high efficiency amplifiers warrants the use of amplifiers operating in the nonlinear range If the signal is not of constant envelope or nearly constant envelope there would be distortion to the signal when amplified For a nonconstant envelope signal the nonlinearity can regenerate some sidebands that have been filtered out by the baseband filters If standard QPSK had been used the signal would be much less constant envelope (the signal going through the origin would have significant envelope variations especially after being filtered) This would cause significant distortion of the signal and the regeneration of the sidebands Filter Requirements: δ 1 1 5dB δ db f p 59kHz f s 7kHz On the link from the base to the mobile battery life is not an issue and only one amplifier needs to be built (for all of the signals) Thus some care can go XIV-59 XIV-6
Reason for Augmenting the Short Code into designing a linear amplifier The short code is base station specific In synchronizing the system knowing the starting point of the short code determines the starting point of the modulation symbols since there is exactly an integer number of modulation symbols per short code period If there were not an integer number then the short code synchronization would not be sufficient for modulation symbol synchronization XIV-61 XIV-6 Power Control Reverse Link: Open Loop Analog: 85 db range, few microsecond response for sudden improvement in channel, but slow power build up when channel is poor so that closed loop control can occur Closed Loop: 1 db every ms, or so, db change allowed (8 Hz rate and 15 ms power control groups) Forward Link: Approximately 5 db or 1% every 15- ms 6 db dynamic range System Timing The long code and the short code are in the state with 1 or 1 zeros and a single one on Jan 6, 198 at :: Universal Coordinated Time (UTC) The clock rate is 188MHz The long code has period 1while the short code has period 15 The period of the commbination is 1 15 111518875831clock ticks XIV-63 XIV-6
Notes 1 The base stations transmissions are all referenced to a system wide time scale using Global Position System time scale which is synchronous with Universal Coordinated Time (UTC) GPS and UTC differ by the number of leap seconds since January 6, 198 Alignment of the long code and short code will occur again in 37 centuries 3 The mobile attempts to synchronize to System Time based on information received from base station transmissions Notes The pilot short code spreading for different base stations are identical (except in the timing or sequence phase) They differ by a multiple of 6 PN chips Thus a mobile using a single matched filter can determine the signal strength due to pilots signals from different base stations This information is used to decide when to handoff to another base station XIV-65 XIV-66 Transmitter for Pilot, Paging and Synch Channels Transmitter for Forward Link Traffic Channel XIV-67 XIV-68
System Characteristics GSM and IS-5/136 European Mobile Communication System Global System for Mobile Communications (GSM) This is a second generation cellular phone developed in Europe to create a system for all Europe (replacing the analog systems in many countries) Frequency Band Mobile Transmit Base Transmit Speech Coder Rate Information Bits/Speech Frame Speech Frame Duration Channel Encoding Overall code rate 89-915 MHz 935-96 MHz 13 kbps 18 Class I 78 Class II 6 Total ms 5 Class I bits protected with 3 parity bits All Class I bits and previous parity bits protected with rate 1/ convolutional code 6/56=57 information bits/channel bit XIV-69 XIV-7 System Characteristics (cont) Multiple Access Slots/Frame 8 Time Slot Duration Frame Duration Modulation Symbol alphabet Hop Rate Carrier Spacing TDMA/Slow Frequency Hop 5769ms 615ms GMSK B 3 T 3 Binary (differentially encoded) 1666 Hops/s (= Frame Rate) khz Figure 15: Transmitter Block Diagram for GSM XIV-71 XIV-7
Reordering d d 1 d d 5 p p 1 p d 51 d 5 d d d d 18 p p 1 p d 181 d 179 Figure 16: Error Control Coding for GSM XIV-73 XIV-7 Figure 17: GSM Convolutional Encoder XIV-75 Figure 18: GSM Frame Structure XIV-76
Interleaving for GSM B B1 B B3 B B5 B6 B7 57 11 171 8 85 3 399 6 11 178 35 9 39 6 7 18 185 99 356 13 1 71 19 9 36 363 1 78 135 56 313 37 7 8 85 1 199 3 377 3 35 9 19 6 63 38 1 99 156 13 7 37 8 9 16 163 77 33 391 56 113 17 7 8 31 398 55 1 177 3 91 38 5 6 63 18 1 98 355 1 13 7 17 8 35 36 19 77 13 191 31 369 6 7 8 11 198 55 376 33 3 91 18 5 6 319 1 98 155 1 69 36 383 8 15 16 19 76 333 39 7 11 169 6 83 3 397 5 55 176 33 9 37 5 6 119 97 35 11 1 69 16 183 3 361 18 19 76 133 19 7 368 5 6 83 1 197 5 311 3 33 9 17 61 318 375 97 15 11 68 35 38 39 Figure 19: Interleaving for GSM 1 161 18 75 33 389 6 7 168 5 8 339 396 53 5 111 3 89 36 3 61 118 175 96 353 1 11 68 15 18 39 XIV-77 36 17 18 75 13 189 6 33 5 8 139 196 53 31 367 XIV-78 B B1 B B3 B B5 B6 B7 3 89 16 3 6 317 37 31 96 153 1 67 3 381 38 39 16 17 7 331 388 5 6 13 81 338 395 5 53 11 167 88 35 3 6 117 17 31 35 9 1 67 1 181 38 95 16 17 7 131 188 5 3 359 b(t) 1 1 6 8 1 1 1 16 18 time/tb 81 138 195 5 39 366 3 88 15 59 316 373 3 31 15 9 66 33 38 37 38 95 16 73 33 387 5 1 159 8 337 39 51 5 19 166 3 3 1 59 116 173 3 87 8 9 66 13 18 37 9 351 16 73 13 187 31 358 15 y(t) 8 137 19 51 38 365 3 1 1 58 315 37 9 3 87 8 65 3 379 36 37 9 151 7 39 386 3 11 158 15 6 8 1 1 1 16 18 5 time/tb 336 393 5 51 18 165 79 1 58 115 17 9 86 33 phi(t) 8 65 1 179 36 93 35 7 7 19 186 3 3 357 1 15 136 193 5 37 36 1 79 57 31 371 8 9 86 13 5 6 8 1 1 1 16 18 time/tb 6 31 378 35 36 93 15 7 38 385 3 1 157 1 71 39 9 5 17 16 1 78 335 XIV-79 Figure 11: GMSK Waveform XIV-8
sin(phi(t)) 15 1 5 5 1 phi(t) 5 1 15 5 3 1 time/tb 1 5 1 15 5 3 1 15 15 1 5 5 1 15 cos(phi(t)) 1 5 1 15 5 3 Figure 111: GMSK Waveforms XIV-81 Figure 11: GMSK Waveforms XIV-8 IS-5/136 System Characteristics This is a second generation cellular phone developed for the US market and standardized in 199 It is very similar to PHS in Japan XIV-83 XIV-8
Frequency Band Mobile Transmit Base Transmit Speech Coder Rate Information Bits/Speech Frame Speech Frame Duration Channel Encoding Overall code rate 8-89MHz 869-893 MHz 795kbps 77 Class I 8 Class II 159 Total ms 1 Class I bits protected with 7 parity bits All Class I bits and previous parity bits protected with rate 1/ convolutional code 159/6=61 information bits/channel bit Multiple Access Frame Duration Slots/Frame 6 Slot Duration System Characteristics (cont) TDMA ms 666ms Coded Symbols/Slot 6 Instantaneous Rate Modulation Rate Modulation Symbol alphabet Carrier Spacing 86 kbps 3 ksps DQPSK, Raised Cosine Filtered with α Quaternary (differentially encoded) 3kHz 35 XIV-85 XIV-86 Figure 113: Frame Structure of IS-5 Each user is assigned two of the six slots Full rate users are assigned two slots which are either slots 1 and or and 5 or 3 and 6 Half rate users are assinged one channel Thus every 3kHz channel is used by three full rate users and thus the capacity is three times that of AMPS Figure 11: Slot Format for IS-5 G= Guard Time RSVD= Reserved R= Ramp Time SACCH=Slow Associated Control Channel Data= User Information or FAACH CDVCC=Coded Digital Verification Color Cod XIV-87 XIV-88
Control Channels The Slow and Fast Associated Control Channel is used for signalling bits such as for handoff, power control and timing The Fast Associated Control Channel is transmitted in a blank and burst mode, that is, the traffic information for a slot is replace by signalling information for that slot Color Code The CDVCC is used to distinguish signals from different cells There are 55 possible values for CDVCC which is coded with an (1,8) shortened Hamming code for error protection Power Control Mobile must be capable of changing the power transmitted in db steps from -dbw to -3dBW on command from the Base Station Time Control Mobile must be capable of changing the time of transmission of a slot in steps of duration 1/ a symbol Figure 115: Block Diagram of Encoding for IS-5 XIV-89 XIV-9 Figure 116: Block Diagram of Encoding for IS-5 Figure 117: Encoding for IS-5 XIV-91 XIV-9
c + Information Bits + Coded Bits c 1 The -slot interleaver works as follows The even numbered bits are written into one interleaver in the even numbered locations while the odd numbered bits are written into a second interleaver These are written in column-wise filing up the first column, then the second column and so on (The even numbered bits are denoted by x and and the odd numbered bits are denoted by y below) The transmitted bits for a given slot are the contents of one of the interleavers read out row-wise Figure 118: Constraint Length 6, Rate 1/ Convolutional Encoder XIV-93 XIV-9 Interleaver for IS-5 x 6x 5x 78x 1x 13x 156x 18x 8x 3x 1y 7y 53y 79y 15y 131y 157y 183y 9y 35y x 8x 5x 8x 16x 13x 158x 18x 1x 36x 3y 9y 55y 81y 17y 133y 159y 185y 11y 37y x 3x 56x 8x 18x 13x 16x 186x 1x 38x 5y 31y 57y 83y 19y 135y 161y 187y 13y 39y 1x 38x 6x 9x 116x 1x 168x 19x x 6x 13y 39y 65y 91y 117y 13y 169y 195y 1y 7y x 5x 76x 1x 18x 15x 18x 6x 3x 58x 5y 51y 77y 13y 19y 155y 181y 7y 33y 59y Thus the order of bits transmitted would be the following Bit from current speech frame Bit 6 from current speech frame Bit 5 from current speech frame Bit 78 from current speech frame Bit 1 from current speech frame Bit 13 from current speech frame Bit 156 from current speech frame Bit 18 from current speech frame Bit 8 from current speech frame Bit 3 from current speech frame Bit 1 from previous speech frame Bit 7 from previous speech frame Bit 53 from previous speech frame Synchronization Sequences are shown below with the autocorrelation XIV-95 XIV-96
1 1 functions shown below 1 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 - - -6 5 1 15 5 3 XIV-97 Figure 119: Autocorrelation function of synchronizationxiv-98 Demodulation/Decoding Error in transmission can cause the CRC for the 1 most perceptually significant bits to fail When a slot is used as a FACCH the CRC will likely fail also The decoder has six states State : CRC checks, and the received dat is used by the speech decoder State 1 CRC Fails: The 1 bits from the previous frame are used for the 1 most perceptually significant bits State Two consecutive CRC Fails: The 1 bits from the previous correct frame are used for the 1 most perceptually significant bits State 3-6 Three consecutive CRC Fails: The 1 bits from the previous correct frame are used for the 1 most perceptually significant bits except the speech frame energy is attenuated by db is state 3, 8dB in state, 1 db in state 5 and the speech frame is muted in state 6 In states -5 a correct CRC brings the decoder state to In state 6 two consecutive correct CRC s bring the encoder to state XIV-99 XIV-1