Q3/ Consider a satellite receiver as shown in the figure below, if the operating frequency is 4GHz and the noise figure for each block is: Fin 0.69 dB, Frf = 1dB, Fm = 4.48 dB, Fir= 7.9 dB and T₁ = 290 Kº RF amp. GR = 20dB OSC mixer GM = 10dB IF amp. GIF = 30dB

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Q3/ Consider a satellite receiver as shown in the figure below, if the
operating frequency is 4GHz and the noise figure for each block is: Fin =
0.69 dB, Frf = 1dB, Fm = 4.48 dB, Fir= 7.9 dB and T₁ = 290 Kº
RF amp.
IF amp.
mixer
GRF = 20dB
GM = 10dB
GIF = 30dB
OSC
a) Find the total system noise temperature
b) If a section of a lossy wave guide with losses of 2.5 dB and noise
temperature TwG=(1-GwG)To is added between the receiving antenna
and the RF amplifier, find the new system noise temperature.
Transcribed Image Text:Q3/ Consider a satellite receiver as shown in the figure below, if the operating frequency is 4GHz and the noise figure for each block is: Fin = 0.69 dB, Frf = 1dB, Fm = 4.48 dB, Fir= 7.9 dB and T₁ = 290 Kº RF amp. IF amp. mixer GRF = 20dB GM = 10dB GIF = 30dB OSC a) Find the total system noise temperature b) If a section of a lossy wave guide with losses of 2.5 dB and noise temperature TwG=(1-GwG)To is added between the receiving antenna and the RF amplifier, find the new system noise temperature.
Values of Q(x) for 0≤x≤9
I
Q(x)
I
I
0.00
Q(x)
I
2.30
Q(x)
5.231x10-12
3.6925x10-12
2.1125x10-6
6.85
0.010724 4.55 2.6823x10-6 6.80
0.0093867 4.60
0.0081975 4.65 1.6597x10-6
0.0071428 4.70 1.3008x10-6
1.0171x10-6
6.90 2.6001x10-12
6.95 1.8264x10-12
7.00 1.2798x10-12
7.9333x10-7
7.05 8.9459x10-13
6.1731x10-7 7.10 6.2378x10-13
4.7918x10-7 7.15 4.3389x10-13
4.95 3.7107x10-7 7.20 3.0106x10-13
2.8665x10-7 7.25 2.0839x10-13
2.2091×10-7
7.30
1.4388x10-13
1.6983x10-7 7. 9.9103x10-14
1.3024x10-7 7.40 6.8092x10-14
9.9644x10-8 7.45 4.667x10-14
7.605x10-8 7.50 3.1909x10-14
5.30 5.7901x10-8 7.55 2.1763x10-14
4.3977x10-8 7.60 1.4807x10-14
3.332x10-8 7.65
1.0049x10-14
2.5185x10-8 7.70 6.8033x10-15
1.899x10-8 7.75 4.5946x10-15
1.4283x10-8 7.80 3.0954x10-15
1.0718x10-8 7.85 2.0802x10-15
8.0224×10-9 7.90 1.3945x10-15
5.9904×10-9 7.95 9.3256x10-16
4.4622x10-9 8.00 6.221x10-16
3.3157x10-9 8.05 4.1397x10-16
2.4579x10-9 8.10
2.748x10-16
1.8175x10-9 8.15 1.8196x10-16
1.3407x10-9
1.2019x10-16
9.8659x10-10 8.25 7.9197x10-1
7.2423x10-10 8.30 5.2056x10-17
5.3034x10-10 8.35 3.4131x10-17
3.8741x10-10 8.40 2.2324x10-17
2.8232x10-10 8.45 1.4565x10-17
3.1671x10-5 6.25 2.0523x10-10 8.50 9.4795x10-18
2.5609x10-5 6.30 1.4882x10-10 8.55 6.1544x10-18
2.0658x10-5 6.35 1.0766x10-10 8.60 3.9858x10-18
1.6624x10-5 6.40 7.7688x10-11 8.65 2.575x10-18
1.3346x10-5 6.45 5.5925x10-11 8.70 1.6594x10-18
1.0689x10-5 6.50 4.016x10-11 8.75 1.0668x10-18
8.5399x10-6 6.55 2.8769x10-11
6.8069x10-6 6.60 2.0558x10-11 8.85
5.4125x10-6 6.65 1.4655x10-11 8.90 2.7923x10-19
4.2935x10-6 6.70 1.0421x10-¹1 8.95 1.7774x10-19
2.20 0.013903 4.50 3.3977x10-6 6.75 7.3923x10-12 9.00 1.1286x10-19
Q(x)
0.5
0.05 0.48006 2.35
0.10 0.46017 2.40
0.15 0.44038 2.45
0.20 0.42074 2.50 0.0062097 4.75
0.25 0.40129 2.55 0.0053861 4.80
0.30 0.38209 2.60 0.0046612 4.85
0.35 0.36317 2.65 0.0040246 4.90
0.40 0.34458 2.70 0.003467
0.45 0.32636 2.75 0.0029798 5.00
0.50 0.30854 2.80 0.0025551 5.05
0.55 0.29116 2.85 0.002186 5.10
0.60 0.27425 2.90 0.0018658 5.15
0.65 0.25785 2.95 0.0015889 5.20
0.70 0.24196 3.00 0.0013499 5.25
0.75 0.22663 3.05 0.0011442
0.80 0.21186 3.10 0.0009676 5.35
0.85 0.19766 3.15 0.00081635 5.40
0.90 0.18406 3.20 0.00068714 5.45
0.95 0.17106 3.25 0.00057703 5.50
1.00 0.15866 3.30 0.00048342 5.55
1.05 0.14686 3.35 0.00040406 5.60
1.10
0.13567 3.40 0.00033693 5.65
1.15 0.12507 3.45 0.00028029 5.70
1.20 0.11507 3.50 0.00023263 5.75
1.25 0.10565 3.55 0.00019262 5.80
1.30 0.0968 3.60 0.00015911 5.85
1.35 0.088508 3.65 0.00013112 5.90
1.40 0.080757 3.70 0.0001078 5.95
1.45 0.073529 3.75
1.50 0.066807 3.80
0.060571 3.85
8.20
1.55
8.8417x10-5 6.00
7.2348x10-5 6.05
5.9059x10-5 6.10
4.8096x10-5 6.15
3.9076x10-5 6.20
1.60
0.054799 3.90
1.65
0.049471 3.95
1.70 0.044565 4.00
1.75 0.040059 4.05
1.80 0.03593 4.10
1.85 0.032157 4.15
1.90 0.028717 4.20
1.95 0.025588 4.25
2.00 0.02275 4.30
2.05 0.020182 4.35
2.10 0.017864 4.40
8.80
6.8408x10-19
4.376x10-19
2.15 0.015778 4.45
2.25 0.012224
Transcribed Image Text:Values of Q(x) for 0≤x≤9 I Q(x) I I 0.00 Q(x) I 2.30 Q(x) 5.231x10-12 3.6925x10-12 2.1125x10-6 6.85 0.010724 4.55 2.6823x10-6 6.80 0.0093867 4.60 0.0081975 4.65 1.6597x10-6 0.0071428 4.70 1.3008x10-6 1.0171x10-6 6.90 2.6001x10-12 6.95 1.8264x10-12 7.00 1.2798x10-12 7.9333x10-7 7.05 8.9459x10-13 6.1731x10-7 7.10 6.2378x10-13 4.7918x10-7 7.15 4.3389x10-13 4.95 3.7107x10-7 7.20 3.0106x10-13 2.8665x10-7 7.25 2.0839x10-13 2.2091×10-7 7.30 1.4388x10-13 1.6983x10-7 7. 9.9103x10-14 1.3024x10-7 7.40 6.8092x10-14 9.9644x10-8 7.45 4.667x10-14 7.605x10-8 7.50 3.1909x10-14 5.30 5.7901x10-8 7.55 2.1763x10-14 4.3977x10-8 7.60 1.4807x10-14 3.332x10-8 7.65 1.0049x10-14 2.5185x10-8 7.70 6.8033x10-15 1.899x10-8 7.75 4.5946x10-15 1.4283x10-8 7.80 3.0954x10-15 1.0718x10-8 7.85 2.0802x10-15 8.0224×10-9 7.90 1.3945x10-15 5.9904×10-9 7.95 9.3256x10-16 4.4622x10-9 8.00 6.221x10-16 3.3157x10-9 8.05 4.1397x10-16 2.4579x10-9 8.10 2.748x10-16 1.8175x10-9 8.15 1.8196x10-16 1.3407x10-9 1.2019x10-16 9.8659x10-10 8.25 7.9197x10-1 7.2423x10-10 8.30 5.2056x10-17 5.3034x10-10 8.35 3.4131x10-17 3.8741x10-10 8.40 2.2324x10-17 2.8232x10-10 8.45 1.4565x10-17 3.1671x10-5 6.25 2.0523x10-10 8.50 9.4795x10-18 2.5609x10-5 6.30 1.4882x10-10 8.55 6.1544x10-18 2.0658x10-5 6.35 1.0766x10-10 8.60 3.9858x10-18 1.6624x10-5 6.40 7.7688x10-11 8.65 2.575x10-18 1.3346x10-5 6.45 5.5925x10-11 8.70 1.6594x10-18 1.0689x10-5 6.50 4.016x10-11 8.75 1.0668x10-18 8.5399x10-6 6.55 2.8769x10-11 6.8069x10-6 6.60 2.0558x10-11 8.85 5.4125x10-6 6.65 1.4655x10-11 8.90 2.7923x10-19 4.2935x10-6 6.70 1.0421x10-¹1 8.95 1.7774x10-19 2.20 0.013903 4.50 3.3977x10-6 6.75 7.3923x10-12 9.00 1.1286x10-19 Q(x) 0.5 0.05 0.48006 2.35 0.10 0.46017 2.40 0.15 0.44038 2.45 0.20 0.42074 2.50 0.0062097 4.75 0.25 0.40129 2.55 0.0053861 4.80 0.30 0.38209 2.60 0.0046612 4.85 0.35 0.36317 2.65 0.0040246 4.90 0.40 0.34458 2.70 0.003467 0.45 0.32636 2.75 0.0029798 5.00 0.50 0.30854 2.80 0.0025551 5.05 0.55 0.29116 2.85 0.002186 5.10 0.60 0.27425 2.90 0.0018658 5.15 0.65 0.25785 2.95 0.0015889 5.20 0.70 0.24196 3.00 0.0013499 5.25 0.75 0.22663 3.05 0.0011442 0.80 0.21186 3.10 0.0009676 5.35 0.85 0.19766 3.15 0.00081635 5.40 0.90 0.18406 3.20 0.00068714 5.45 0.95 0.17106 3.25 0.00057703 5.50 1.00 0.15866 3.30 0.00048342 5.55 1.05 0.14686 3.35 0.00040406 5.60 1.10 0.13567 3.40 0.00033693 5.65 1.15 0.12507 3.45 0.00028029 5.70 1.20 0.11507 3.50 0.00023263 5.75 1.25 0.10565 3.55 0.00019262 5.80 1.30 0.0968 3.60 0.00015911 5.85 1.35 0.088508 3.65 0.00013112 5.90 1.40 0.080757 3.70 0.0001078 5.95 1.45 0.073529 3.75 1.50 0.066807 3.80 0.060571 3.85 8.20 1.55 8.8417x10-5 6.00 7.2348x10-5 6.05 5.9059x10-5 6.10 4.8096x10-5 6.15 3.9076x10-5 6.20 1.60 0.054799 3.90 1.65 0.049471 3.95 1.70 0.044565 4.00 1.75 0.040059 4.05 1.80 0.03593 4.10 1.85 0.032157 4.15 1.90 0.028717 4.20 1.95 0.025588 4.25 2.00 0.02275 4.30 2.05 0.020182 4.35 2.10 0.017864 4.40 8.80 6.8408x10-19 4.376x10-19 2.15 0.015778 4.45 2.25 0.012224
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