Space-Time Block Codes for Wireless Systems - The ...

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UB versus SIM, 2x2 BPSK Class 1, ρ c =0.3 10 0 SNR Union Bound Simulation 10 −1 SER 10 −2 10 −3 10 −4 0 2 4 6 8 10 12 14 16 Figure 2.6: Union bound versus simulation <strong>for</strong> rate 1 OMM 2 × 2 BPSK Class 1 code. 35
index ρ c rate size constl OMM 1 1 1 2 × 2 BPSK [1,7,8,14] 2 1 1 2 × 2 QPSK [1,41,156,247] 3 1 1 2 × 2 8PSK [3,1314,2167,3414] 4 1 1 2 × 2 16PSK [ [8,14469,33744,47965] ] 1 84 166 248 5 1 1 3 × 3 QPSK [ 282 335 429 499 ] 2 42 93 117 6 1 1.5 2 × 2 QPSK 128 168 223 247 ⎡ ⎤ 0 20 42 62 7 1 2 2 × 2 QPSK ⎢ 70 82 107 127 ⎥ ⎣133 145 173 185⎦ 195 215 236 248 8 0.3 1 2 × 2 BPSK [0,6,11,13] 9 0.3 1 2 × 2 QPSK [1,87,174,248] 10 0.3 1 2 × 2 8PSK [3,1314,2447,3246] 11 1 1 2 × 2 16PSK [ [8,14469,33744,47965] ] 0 31 99 124 12 0.3 1 3 × 3 QPSK [ 421 442 454 473 ] 2 42 93 117 13 0.3 1.5 2 × 2 QPSK 128 168 223 247 ⎡ ⎤ 0 10 37 47 14 0.3 2 2 × 2 QPSK ⎢ 82 88 119 125 ⎥ ⎣133 143 160 170⎦ 15 0.3 1 4 × 2 BPSK 215 221 242 248 ⎡ ⎤ 0 15 51 60 ⎢ 86 89 101 106 ⎥ ⎣149 154 166 169⎦ 195 204 240 255 Table 2.2: OMM codes. 36
Page 1 and 2: COMMUNICATION SCIENCES INSTITUTE
Page 3 and 4: Dedication This dissertation is ded
Page 5 and 6: Contents Dedication Acknowledgement
Page 7 and 8: List Of Tables 2.1 The distance spe
Page 9 and 10: 3.4 The BLUE and LS estimators have
Page 11 and 12: Abstract Space-time codes are effec
Page 13 and 14: spreading. The focus of [HMP01] is
Page 15 and 16: 5, respectively: first, for an arbi
Page 17 and 18: Chapter 2 Space-Time Block Codes in
Page 19 and 20: easily achieve maximum diversity (t
Page 21 and 22: For example, a BPSK 2 × 2 block co
Page 23 and 24: multipaths corresponding to each tr
Page 25 and 26: where G(t) = [G (1) (t), . . . . .
Page 27 and 28: where D α and D β are two codewor
Page 29 and 30: For the quasi-static fading channel
Page 31 and 32: and the non-zero segment of any lin
Page 33 and 34: Let us consider the issue of achiev
Page 35 and 36: as A and B respectively, and observ
Page 37 and 38: L c = 1 0 7 9 14 0 0.00 30.56 16.00
Page 39 and 40: where D (k) (t) is defined in Equat
Page 41 and 42: For this special case of fixed spre
Page 43 and 44: where ˜R = ŘT 1 Ř−1 2 Ř 1 . (
Page 45: 2.5 Optimal Minimum Metric Codes In
Page 49 and 50: 16 0 9 32-16ρ 2 32-16ρ 2 16 16 16
Page 51 and 52: Class ρ ∆ p (ζ v ) N p code ind
Page 53 and 54: 2. In a spread system (ρ = 0.3), t
Page 55 and 56: 10 0 SNR OMM spread orthogonal 10
Page 57 and 58: ρ c =0.3 10 0 SNR Rate 1 4X2 2 Rat
Page 59 and 60: Code Comparison, Joint ML Decoder,
Page 61 and 62: 2.6 Practical Considerations In thi
Page 63 and 64: 2.6.2 Sensitivity to Correlation Us
Page 65 and 66: structure ] 1 structure ] 2 structu
Page 67 and 68: Chapter 3 On Suboptimal Linear Deco
Page 69 and 70: where σ t is signal-to-noise ratio
Page 71 and 72: decorrelator. Denote ‖x‖ 2 R x
Page 73 and 74: 3.4 The Mapper Recall that the outp
Page 75 and 76: Now we evaluate the overall decoder
Page 77 and 78: and lim L HH R 3 H = r→∞ L r [1
Page 79 and 80: the FIM for random d is [ ∂ ln P
Page 81 and 82: Apparently R d is singular, which i
Page 83 and 84: L t =2, L r =1, K=1, ρ=0.3, ignori
Page 85 and 86: L t =2, L r =2, K=1, ρ=0.3, two re
Page 87 and 88: Chapter 4 Nonlinear Hierarchical Co
Page 89 and 90: signal corresponding to N c symbol
Page 91 and 92: 1. full diversity ∆ H (D i − D
Page 93 and 94: epresent both for convenience. All
Page 95 and 96: We may construct the whole set from
Page 97 and 98:
2. Most right isometries P are redu
Page 99 and 100:
★ ✥ S k ✧ a U j , P j ✲ b
Page 101 and 102:
3. Given Isometries U k U j and P j
Page 103 and 104:
[ 2 ] [ 168 ] [ 42 ] [ 128 ] 1 1
Page 105 and 106:
which are very likely to be optimal
Page 107 and 108:
4X3 BPSK(8 Codewords) and QPSK(64 C
Page 109 and 110:
Chapter 5 Regular Multiple Trellis
Page 111 and 112:
The high rate performance is poor,
Page 113 and 114:
ehavior of a regular trellis are: t
Page 115 and 116:
All the NHCs found in this work sat
Page 117 and 118:
Whenever there exist parallel trans
Page 119 and 120:
M m g=1 g=2 g=4 g=8 next jump b=2 2
Page 121 and 122:
provides a lower bound on the numbe
Page 123 and 124:
Label S k S Comment Figure 1/2 I2S2
Page 125 and 126:
Label S k O(= gbp) S(= gb) Figure 1
Page 127 and 128:
2X2 QPSK, |S 5 |=32 codewords 10 0
Page 129 and 130:
S k d S k S k ′ d H S 1 (1, 1, 1,
Page 131 and 132:
Rate 6/2 2X2 8PSK, |S 7 |=128 vs |S
Page 133 and 134:
1 172 251 330 1 1 1 304 413 486 87
Page 135 and 136:
Rate 5/3, 3X3 QPSK, |S 7 |=128 Code
Page 137 and 138:
parameters: the number of trellis g
Page 139 and 140:
[DS87] D. Divsalar and M. K. Simon.
Page 141 and 142:
[SHHS01] [Sle68] A. Shokrollahi, B.
Page 143 and 144:
ù"ú"ú"û ù"ü"ù ù"ý0øJþ ÿ
Page 145 and 146:
©¤¥¢©©©©¤©¤©©¤©¤©
Page 147 and 148:
J;KL4MNL=L;L0K=O;P=Q;ORO=Q;O=Q;Q;MN
Page 149 and 150:
0 1 14 1 7 8 Figure B.2: 2 × 2 BPS
Page 151 and 152:
0 2 168 42 128 93 247 117 223 1 30
Page 153 and 154:
0 2 168 42 128 93 247 117 223 30 18
Page 155:
0 2 168 42 128 93 247 117 223 30 18
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