Mic Design
16
Design of a Two-Hop Microwave Link 60 3.3 Reflection Path The point of reflection can be determined by the formula: *For k = 4 3 1 1 − 1 2 = 2 2 − 2 2 Where: H1 is the elevation of lower antenna from the reflection surface (ft) D1 is the distance from lower antenna (mi) H2 is the elevation of higher antenna from the reflection surface (ft) D2 is the distance from higher antenna (mi) Sample Calculation: H1 = 246.063 ft + 40.625 ft. = 286.688 ft. H2 = 442.913 ft + 40.522 ft. = 483.435 ft. 1 (1) = ( 286.688 0.311 )−( 0.311 2 ) = 921.671 2 (1) = ( 483.435 12.420 )−( 12.420 2 ) = 32.714 Difference = abs(R1-R2) = abs(921.671 − 32.714 = 888.957 Antenna (A) to Repeater (R) Reflection Path H1 H2 D1 D2 R1 R2 Difference 286.688 483.435 0.311 12.2 921.671 32.714 888.957 286.688 483.435 0.621 12.11 461.345 33.865 427.48 286.688 483.435 0.932 11.799 307.139 35.073 272.066 286.688 483.435 1.242 11.489 230.207 36.334 193.873 286.688 483.435 1.553 11.178 183.826 37.66 146.166 286.688 483.435 1.863 10.868 152.954 39.048 113.906 286.688 483.435 2.174 10.557 130.784 40.514 90.27
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Transcript of Mic Design
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Design of a Two-Hop Microwave Link
60
3.3 Reflection Path
The point of reflection can be determined by the formula:
*For k = 4
3
1
1
1
2=
2
2
2
2
Where:
H1 is the elevation of lower antenna from the reflection surface (ft)
D1 is the distance from lower antenna (mi)
H2 is the elevation of higher antenna from the reflection surface (ft)
D2 is the distance from higher antenna (mi)
Sample Calculation:
H1 = 246.063 ft + 40.625 ft. = 286.688 ft.
H2 = 442.913 ft + 40.522 ft. = 483.435 ft.
1 (1) = (286.688
0.311) (
0.311
2) = 921.671
2 (1) = (483.435
12.420) (
12.420
2) = 32.714
Difference = abs(R1-R2) = abs(921.671 32.714 = 888.957
Antenna (A) to Repeater (R) Reflection Path
H1 H2 D1 D2 R1 R2 Difference
286.688 483.435 0.311 12.2 921.671 32.714 888.957
286.688 483.435 0.621 12.11 461.345 33.865 427.48
286.688 483.435 0.932 11.799 307.139 35.073 272.066
286.688 483.435 1.242 11.489 230.207 36.334 193.873
286.688 483.435 1.553 11.178 183.826 37.66 146.166
286.688 483.435 1.863 10.868 152.954 39.048 113.906
286.688 483.435 2.174 10.557 130.784 40.514 90.27
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Design of a Two-Hop Microwave Link
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286.688 483.435 2.484 10.247 114.172 42.055 72.117
286.688 483.435 2.795 9.936 101.174 43.687 57.487
286.688 483.435 3.105 9.626 90.779 45.409 45.37
286.688 483.435 3.416 9.315 82.217 47.241 34.976
286.688 483.435 3.726 9.005 75.08 49.183 25.897
286.688 483.435 4.037 8.694 68.997 51.259 17.738
286.688 483.435 4.347 8.384 63.777 53.47 10.307
286.688 483.435 4.658 8.073 59.218 55.846 3.372
286.688 483.435 4.968 7.763 55.223 58.393 3.17
286.688 483.435 5.279 7.452 51.668 61.147 9.479
286.688 483.435 5.589 7.142 48.501 64.118 15.617
286.688 483.435 5.9 6.831 45.641 67.355 21.714
286.688 483.435 6.21 6.521 43.061 70.875 27.814
286.688 483.435 6.521 6.21 40.703 74.743 34.04
286.688 483.435 6.831 5.9 38.553 78.988 40.435
286.688 483.435 7.142 5.589 36.57 83.703 47.133
286.688 483.435 7.452 5.279 34.745 88.938 54.193
286.688 483.435 7.763 4.968 33.049 94.826 61.777
286.688 483.435 8.073 4.658 31.475 101.457 69.982
286.688 483.435 8.384 4.347 30.003 109.038 79.035
286.688 483.435 8.694 4.037 28.628 117.733 89.105
286.688 483.435 9.005 3.726 27.334 127.883 100.549
286.688 483.435 9.315 3.416 26.12 139.813 113.693
286.688 483.435 9.626 3.105 24.97 154.143 129.173
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Design of a Two-Hop Microwave Link
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286.688 483.435 9.936 2.795 23.885 171.567 147.682
286.688 483.435 10.247 2.484 22.854 193.378 170.524
286.688 483.435 10.557 2.174 21.878 221.284 199.406
286.688 483.435 10.868 1.863 20.945 258.561 237.616
286.688 483.435 11.178 1.553 20.059 310.515 290.456
286.688 483.435 11.489 1.242 19.209 388.618 369.409
286.688 483.435 11.799 0.932 18.398 518.241 499.843
286.688 483.435 12.11 0.621 17.619 778.168 760.549
286.688 483.435 12.42 0.311 16.873 1554.298 1537.425
Repeater (R) to Antenna (A) Reflection Path
H1 H2 D1 D2 R1 R2 Difference
483.435 286.688 12.42 0.311 32.714 921.671 888.957
483.435 286.688 12.11 0.621 33.865 461.345 427.48
483.435 286.688 11.799 0.932 35.073 307.139 272.066
483.435 286.688 11.489 1.242 36.334 230.207 193.873
483.435 286.688 11.178 1.553 37.66 183.826 146.166
483.435 286.688 10.868 1.863 39.048 152.954 113.906
483.435 286.688 10.557 2.174 40.514 130.784 90.27
483.435 286.688 10.247 2.484 42.055 114.172 72.117
483.435 286.688 9.936 2.795 43.687 101.174 57.487
483.435 286.688 9.626 3.105 45.409 90.779 45.37
483.435 286.688 9.315 3.416 47.241 82.217 34.976
483.435 286.688 9.005 3.726 49.183 75.08 25.897
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Design of a Two-Hop Microwave Link
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483.435 286.688 8.694 4.037 51.259 68.997 17.738
483.435 286.688 8.384 4.347 53.47 63.777 10.307
483.435 286.688 8.073 4.658 55.846 59.218 3.372
483.435 286.688 7.763 4.968 58.393 55.223 3.17
483.435 286.688 7.452 5.279 61.147 51.668 9.479
483.435 286.688 7.142 5.589 64.118 48.501 15.617
483.435 286.688 6.831 5.9 67.355 45.641 21.714
483.435 286.688 6.521 6.21 70.875 43.061 27.814
483.435 286.688 6.21 6.521 74.743 40.703 34.04
483.435 286.688 5.9 6.831 78.988 38.553 40.435
483.435 286.688 5.589 7.142 83.703 36.57 47.133
483.435 286.688 5.279 7.452 88.938 34.745 54.193
483.435 286.688 4.968 7.763 94.826 33.049 61.777
483.435 286.688 4.658 8.073 101.457 31.475 69.982
483.435 286.688 4.347 8.384 109.038 30.003 79.035
483.435 286.688 4.037 8.694 117.733 28.628 89.105
483.435 286.688 3.726 9.005 127.883 27.334 100.549
483.435 286.688 3.416 9.315 139.813 26.12 113.693
483.435 286.688 3.105 9.626 154.143 24.97 129.173
483.435 286.688 2.795 9.936 171.567 23.885 147.682
483.435 286.688 2.484 10.247 193.378 22.854 170.524
483.435 286.688 2.174 10.557 221.284 21.878 199.406
483.435 286.688 1.863 10.868 258.561 20.945 237.616
483.435 286.688 1.553 11.178 310.515 20.059 290.456
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Design of a Two-Hop Microwave Link
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483.435 286.688 1.242 11.489 388.618 19.209 369.409
483.435 286.688 0.932 11.799 518.241 18.398 499.843
483.435 286.688 0.621 12.11 778.168 17.619 760.549
483.435 286.688 0.311 12.42 1554.298 16.873 1537.425
Repeater (R) to Antenna (B) Reflection Path
H1 H2 D1 D2 R1 R2 Difference
483.435 220.766 12.42 0.311 32.714 709.703 676.989
483.435 220.766 12.11 0.621 33.865 355.19 321.325
483.435 220.766 11.799 0.932 35.073 236.407 201.334
483.435 220.766 11.489 1.242 36.334 177.129 140.795
483.435 220.766 11.178 1.553 37.66 141.378 103.718
483.435 220.766 10.868 1.863 39.048 117.569 78.521
483.435 220.766 10.557 2.174 40.514 100.461 59.947
483.435 220.766 10.247 2.484 42.055 87.633 45.578
483.435 220.766 9.936 2.795 43.687 77.589 33.902
483.435 220.766 9.626 3.105 45.409 69.548 24.139
483.435 220.766 9.315 3.416 47.241 62.919 15.678
483.435 220.766 9.005 3.726 49.183 57.387 8.204
483.435 220.766 8.694 4.037 51.259 52.667 1.408
483.435 220.766 8.384 4.347 53.47 48.612 4.858
483.435 220.766 8.073 4.658 55.846 45.066 10.78
483.435 220.766 7.763 4.968 58.393 41.954 16.439
483.435 220.766 7.452 5.279 61.147 39.18 21.967
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Design of a Two-Hop Microwave Link
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483.435 220.766 7.142 5.589 64.118 36.706 27.412
483.435 220.766 6.831 5.9 67.355 34.468 32.887
483.435 220.766 6.521 6.21 70.875 32.445 38.43
483.435 220.766 6.21 6.521 74.743 30.594 44.149
483.435 220.766 5.9 6.831 78.988 28.903 50.085
483.435 220.766 5.589 7.142 83.703 27.34 56.363
483.435 220.766 5.279 7.452 88.938 25.899 63.039
483.435 220.766 4.968 7.763 94.826 24.557 70.269
483.435 220.766 4.658 8.073 101.457 23.31 78.147
483.435 220.766 4.347 8.384 109.038 22.14 86.898
483.435 220.766 4.037 8.694 117.733 21.046 96.687
483.435 220.766 3.726 9.005 127.883 20.013 107.87
483.435 220.766 3.416 9.315 139.813 19.043 120.77
483.435 220.766 3.105 9.626 154.143 18.121 136.022
483.435 220.766 2.795 9.936 171.567 17.251 154.316
483.435 220.766 2.484 10.247 193.378 16.421 176.957
483.435 220.766 2.174 10.557 221.284 15.633 205.651
483.435 220.766 1.863 10.868 258.561 14.879 243.682
483.435 220.766 1.553 11.178 310.515 14.161 296.354
483.435 220.766 1.242 11.489 388.618 13.471 375.147
483.435 220.766 0.932 11.799 518.241 12.811 505.43
483.435 220.766 0.621 12.11 778.168 12.175 765.993
483.435 220.766 0.311 12.42 1554.298 11.565 1542.733
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Design of a Two-Hop Microwave Link
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Antenna (B) to Repeater (R) Reflection Path
H1 H2 D1 D2 R1 R2 Difference
220.766 483.435 12.42 0.311 11.565 1554.298 1542.733
220.766 483.435 12.11 0.621 12.175 778.168 765.993
220.766 483.435 11.799 0.932 12.811 518.241 505.43
220.766 483.435 11.489 1.242 13.471 388.618 375.147
220.766 483.435 11.178 1.553 14.161 310.515 296.354
220.766 483.435 10.868 1.863 14.879 258.561 243.682
220.766 483.435 10.557 2.174 15.633 221.284 205.651
220.766 483.435 10.247 2.484 16.421 193.378 176.957
220.766 483.435 9.936 2.795 17.251 171.567 154.316
220.766 483.435 9.626 3.105 18.121 154.143 136.022
220.766 483.435 9.315 3.416 19.043 139.813 120.77
220.766 483.435 9.005 3.726 20.013 127.883 107.87
220.766 483.435 8.694 4.037 21.046 117.733 96.687
220.766 483.435 8.384 4.347 22.14 109.038 86.898
220.766 483.435 8.073 4.658 23.31 101.457 78.147
220.766 483.435 7.763 4.968 24.557 94.826 70.269
220.766 483.435 7.452 5.279 25.899 88.938 63.039
220.766 483.435 7.142 5.589 27.34 83.703 56.363
220.766 483.435 6.831 5.9 28.903 78.988 50.085
220.766 483.435 6.521 6.21 30.594 74.743 44.149
220.766 483.435 6.21 6.521 32.445 70.875 38.43
220.766 483.435 5.9 6.831 34.468 67.355 32.887
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Design of a Two-Hop Microwave Link
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220.766 483.435 5.589 7.142 36.706 64.118 27.412
220.766 483.435 5.279 7.452 39.18 61.147 21.967
220.766 483.435 4.968 7.763 41.954 58.393 16.439
220.766 483.435 4.658 8.073 45.066 55.846 10.78
220.766 483.435 4.347 8.384 48.612 53.47 4.858
220.766 483.435 4.037 8.694 52.667 51.259 1.408
220.766 483.435 3.726 9.005 57.387 49.183 8.204
220.766 483.435 3.416 9.315 62.919 47.241 15.678
220.766 483.435 3.105 9.626 69.548 45.409 24.139
220.766 483.435 2.795 9.936 77.589 43.687 33.902
220.766 483.435 2.484 10.247 87.633 42.055 45.578
220.766 483.435 2.174 10.557 100.461 40.514 59.947
220.766 483.435 1.863 10.868 117.569 39.048 78.521
220.766 483.435 1.553 11.178 141.378 37.66 103.718
220.766 483.435 1.242 11.489 177.129 36.334 140.795
220.766 483.435 0.932 11.799 236.407 35.073 201.334
220.766 483.435 0.621 12.11 355.19 33.865 321.325
220.766 483.435 0.311 12.42 709.703 32.714 676.989
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Design of a Two-Hop Microwave Link
68
PATH PROFILE FROM ANTENNA (A) TO REPEATER (R) FOR k = 4/3 with Reflection Point
0
20
40
60
80
100
120
140
160
00
.5 11
.5 22
.5 33
.5 44
.5 55
.5 66
.5 77
.5 88
.5 99
.5 10
10
.5 11
11
.5 12
12
.5 13
13
.5 14
14
.5 15
15
.5 16
16
.5 17
17
.5 18
18
.5 19
19
.5 20
Antenna (A) to Repeater (R) Path Profile
EB
Elev (m)
TOTAL
LOS
F1 up
0.6F1 up
F1 down
0.6F1 down
Reflection Path
-
Design of a Two-Hop Microwave Link
69
PATH PROFILE FROM ANTENNA (A) TO REPEATER (R) FOR k = 2/3
0
20
40
60
80
100
120
140
160
0
0.5 1
1.5 2
2.5 3
3.5 4
4.5 5
5.5 6
6.5 7
7.5 8
8.5 9
9.5 10
10
.5 11
11
.5 12
12
.5 13
13
.5 14
14
.5 15
15
.5 16
16
.5 17
17
.5 18
18
.5 19
19
.5 20
Antenna (A) to Repeater (R) Path Profile
EB
Elev (m)
TOTAL
LOS
F1 up
0.6F1 up
F1 down
0.6F1 down
-
Design of a Two-Hop Microwave Link
70
PATH PROFILE FROM REPEATER (R) TO ANTENNA (A) FOR k = 4/3 with Reflection Point
0
20
40
60
80
100
120
140
160
0
0.5 1
1.5 2
2.5 3
3.5 4
4.5 5
5.5 6
6.5 7
7.5 8
8.5 9
9.5 10
10
.5 11
11
.5 12
12
.5 13
13
.5 14
14
.5 15
15
.5 16
16
.5 17
17
.5 18
18
.5 19
19
.5 20
Repeater (R) to Antenna (A) Path Profile
EB
Elev (m)
TOTAL
LOS
F1 up
0.6F1 up
F1 down
0.6F1 down
Reflection Path
-
Design of a Two-Hop Microwave Link
71
PATH PROFILE FROM REPEATER (R) TO ANTENNA (A) FOR k = 2/3
0
20
40
60
80
100
120
140
160
0
0.5 1
1.5 2
2.5 3
3.5 4
4.5 5
5.5 6
6.5 7
7.5 8
8.5 9
9.5 10
10
.5 11
11
.5 12
12
.5 13
13
.5 14
14
.5 15
15
.5 16
16
.5 17
17
.5 18
18
.5 19
19
.5 20
Repeater (R) to Antenna (A) Path Profile
EB
Elev (m)
TOTAL
LOS
F1 up
0.6F1 up
F1 down
0.6F1 down
-
Design of a Two-Hop Microwave Link
72
PATH PROFILE FROM REPEATER (R) TO ANTENNA (B) FOR k = 4/3 with Reflection Point
0
20
40
60
80
100
120
140
160
0
0.5 1
1.5 2
2.5 3
3.5 4
4.5 5
5.5 6
6.5 7
7.5 8
8.5 9
9.5 10
10
.5 11
11
.5 12
12
.5 13
13
.5 14
14
.5 15
15
.5 16
16
.5 17
17
.5 18
18
.5 19
19
.5 20
Repeater (R) to Antenna (B) Path Profile
EB
Elev (m)
TOTAL
LOS
F1 up
0.6F1 up
F1 down
0.6F1 down
Series9
-
Design of a Two-Hop Microwave Link
73
PATH PROFILE FROM REPEATER (R) TO ANTENNA (B) FOR k = 2/3
0
20
40
60
80
100
120
140
160
0
0.5 1
1.5 2
2.5 3
3.5 4
4.5 5
5.5 6
6.5 7
7.5 8
8.5 9
9.5 10
10
.5 11
11
.5 12
12
.5 13
13
.5 14
14
.5 15
15
.5 16
16
.5 17
17
.5 18
18
.5 19
19
.5 20
Repeater (R) to Antenna (B) Path Profile
EB
Elev (m)
TOTAL
LOS
F1 up
0.6F1 up
F1 down
0.6F1 down
-
Design of a Two-Hop Microwave Link
74
PATH PROFILE FROM ANTENNA (B) TO REPEATER (R) FOR k = 4/3 with Reflection Point
0
20
40
60
80
100
120
140
160
0
0.5 1
1.5 2
2.5 3
3.5 4
4.5 5
5.5 6
6.5 7
7.5 8
8.5 9
9.5 10
10
.5 11
11
.5 12
12
.5 13
13
.5 14
14
.5 15
15
.5 16
16
.5 17
17
.5 18
18
.5 19
19
.5 20
Antenna (B) to Repeater (R) Path Profile
EB
Elev (m)
TOTAL
LOS
F1 up
0.6F1 up
F1 down
0.6F1 down
Reflection Path
-
Design of a Two-Hop Microwave Link
75
PATH PROFILE FROM ANTENNA (B) TO REPEATER (R) FOR k = 2/3
0
20
40
60
80
100
120
140
160
0
0.5 1
1.5 2
2.5 3
3.5 4
4.5 5
5.5 6
6.5 7
7.5 8
8.5 9
9.5 10
10
.5 11
11
.5 12
12
.5 13
13
.5 14
14
.5 15
15
.5 16
16
.5 17
17
.5 18
18
.5 19
19
.5 20
Antenna (B) to Repeater (R) Path Profile
EB
Elev (m)
TOTAL
LOS
F1 up
0.6F1 up
F1 down
0.6F1 down
