126 ETSI ES 201 980 V4.1.2 (2017-04)
Table 59: Carrier numbers given a power boost of 4, i.e. as,k = 2
Robustness |
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Spectrum occupancy |
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mode |
0 |
1 |
2 |
3 |
4 |
5 |
A |
2, 6, |
2, 6, |
-102, -98, |
-114, -110, |
-98, -94, |
-110, -106, |
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98, 102 |
110, 114 |
98, 102 |
110, 114 |
310, 314 |
346, 350 |
B |
1, 3, |
1, 3, |
-91, -89, |
-103, -101, |
-87, -85, |
-99, -97, |
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89, 91 |
101, 103 |
89, 91 |
101, 103 |
277, 279 |
309, 311 |
C |
- |
- |
- |
-69, -67, |
- |
-67, -65, |
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67, 69 |
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211, 213 |
D |
- |
- |
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-44, -43, |
- |
-43, -42, |
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43, 44 |
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134, 135 |
E |
-106, -102, |
- |
- |
- |
- |
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102, 106 |
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8.4.4.3Cell phases
8.4.4.3.0Intorduction
In some cases gain references fall in locations which coincide with those already defined for either frequency or time references. In these cases, the phase definitions given in clauses 8.4.2 and 8.4.3 take precedence.
In all other locations, the phases of the gain reference cells are obtained by integer arithmetic applied to small tables of values, as defined in the following procedure.
8.4.4.3.1Procedure for calculation of cell phases
The procedure is:
First, compute values of m, n and p for each cell, where the carrier number is k and the symbol number is s:
n = s mod y, m = s / y
p= k − k0 − nx xy
x, y, and k0 are constants which are defined for each robustness mode in table 60.
Table 60: Definition of x, y, k0
Robustness mode |
x |
y |
k0 |
A |
4 |
5 |
2 |
B |
2 |
3 |
1 |
C |
2 |
2 |
1 |
D |
1 |
3 |
1 |
E |
4 |
4 |
2 |
NOTE 1: The value of p obtained by this procedure is an integer, as a consequence of the definition of reference cell locations in clause 8.4.4.1; while the values of n and m are integer by definition of the mathematical operations producing them.
Secondly, calculate for robustness modes A, B, C and D the integer phase index by the following formula:
ϑ1024 [s, k] = (4Z256 [n, m] + pW1024 [n, m]+ p 2 (1+ s)Q1024 ) mod 1024
or, calculate for robustness mode E the integer phase index by the following formula:
ϑ1024 [s, k] = ( p2 R1024 [n, m]+ pZ1024 [n, m]+ Q1024 [n, m]) mod 1024
ETSI
127 |
ETSI ES 201 980 V4.1.2 (2017-04) |
Q1024 and the small tables Z256[n, m], W1024[n, m], R1024[n,m], |
Z1024[n,m] and Q1024[n, m] are |
defined for each robustness mode in clauses 8.4.4.3.2 to 8.4.4.3.6. |
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NOTE 2: The values in table Z256[n, m] may be represented precisely as 8-bit unsigned integers; Q1024 ,
W1024[n, m], R1024[n,m], Z1024[n,m] and Q1024[n, m] may be represented precisely as 10-bit unsigned integers.
8.4.4.3.2 |
Robustness mode A |
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The W1024[n, m] matrix is defined as: |
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W1024 [n, m] = { |
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{228, |
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341, |
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455}, |
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{455, |
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569, |
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683}, |
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{683, |
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796, |
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910}, |
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{910, |
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0, |
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114}, |
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{114, |
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228, |
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341}} |
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The Z256[n, m] matrix is defined as:
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Z256 [n, m] = { |
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{0, |
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81, |
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248}, |
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{18, |
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106, |
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106}, |
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{122, |
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116, |
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31}, |
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{129, |
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129, |
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39}, |
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{33, |
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32, |
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111}} |
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Q1024 = 36.
8.4.4.3.3Robustness mode B
The W1024[n, m] matrix is defined as:
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W1024 [n, m] = { |
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{512, |
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0, |
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512, |
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0, |
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512}, |
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{0, |
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512, |
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0, |
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512, |
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0}, |
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{512, |
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0, |
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512, |
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0, |
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512}} |
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The Z256 [n, m] matrix is defined as: |
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Z256 [n, m] = { |
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57, |
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64, |
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12}, |
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{0, |
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164, |
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{168, |
255, |
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161, |
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106, |
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118}, |
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{25, |
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232, |
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132, |
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233, |
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38}} |
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Q1024 = 12. |
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8.4.4.3.4 |
Robustness mode C |
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The W1024[n, m] matrix is defined as: |
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W1024 [n, m] = { |
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{465, |
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372, |
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279, |
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186, |
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93, |
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0, |
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931, |
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838, |
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745, |
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652}, |
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{931, |
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838, |
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745, |
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652, |
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559, |
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465, |
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372, |
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279, |
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186, |
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93}} |
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ETSI
128 |
ETSI ES 201 980 V4.1.2 (2017-04) |
The Z256 [n, m]matrix is defined as:
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Z256 [n, m] = { |
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{0, |
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76, |
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29, |
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76, |
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9, |
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190, |
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161, |
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248, |
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33, |
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108}, |
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{179, |
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178, |
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83, |
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253, |
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127, |
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105, |
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101, |
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198, |
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250, |
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145}} |
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Q1024 = 12.
8.4.4.3.5Robustness mode D
The W1024[n, m] matrix is defined as:
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W1024 [n, m] = { |
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{366, |
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439, |
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512, |
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585, |
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658, |
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731, |
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805, |
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878}, |
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{731, |
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805, |
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878, |
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951, |
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0, |
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73, |
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146, |
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219}, |
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{73, |
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146, |
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219, |
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293, |
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366, |
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439, |
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512, |
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585}} |
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The Z256 [n, m] matrix is defined as: |
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Z256 [n, m] = { |
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{0, |
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240, |
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17, |
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60, |
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220, |
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38, |
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151, |
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101}, |
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{110, |
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7, |
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78, |
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82, |
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175, |
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150, |
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106, |
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25}, |
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{165, |
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7, |
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252, |
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124, |
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253, |
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177, |
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197, |
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142}} |
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Q1024 = 14. |
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8.4.4.3.6Robustness mode E
The |
R1024[n,m] matrix is defined as: |
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R1024[n,m] = { |
{39, |
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118, |
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197, |
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276, |
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354, |
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433, |
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39, |
118, |
197, |
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276}, |
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{37, |
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183, |
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402, |
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37, |
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183, |
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402, |
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37, |
183, |
402, |
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37}, |
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{110, |
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329, |
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475, |
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110, |
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329, |
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475, |
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110, |
329, |
475, |
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110}, |
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{79, |
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158, |
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236, |
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315, |
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394, |
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473, |
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79, |
158, |
236, |
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315}} |
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The |
Z1024[n,m] matrix is defined as: |
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Z1024[n,m] = { |
{473, |
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394, |
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315, |
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236, |
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158, |
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79, |
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0, |
0, |
0, |
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0}, |
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{183, |
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914, |
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402, |
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37, |
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475, |
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841, |
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768, |
768, |
987, |
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183}, |
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{549, |
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622, |
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475, |
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110, |
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37, |
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622, |
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256, |
768, |
329, |
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549}, |
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{79, |
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158, |
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236, |
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315, |
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394, |
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473, |
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158, |
315, |
473, |
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630}} |
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The Q1024[n, m] matrix is defined as: |
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Q1024[n, m] = { |
{329, |
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489, |
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894, |
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419, |
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607, |
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519, |
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1 020, |
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942, |
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817, |
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939}, |
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{824, |
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1 023, |
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74, |
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319, |
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225, |
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207, |
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348, |
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422, |
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395, |
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92}, |
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{959, |
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379, |
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7, |
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738, |
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500, |
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920, |
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440, |
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727, |
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263, |
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733}, |
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{907, |
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946, |
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924, |
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91, |
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189, |
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133, |
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910, |
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804, |
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1 022, |
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433}} |
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ETSI