Transmission Calculation
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C.
TRANSMISSION CALCULATION
Transmitter Output Power (Pt) = 29 dBm Receiver Threshold = -72 dBm Reliability = 99.99% Fade Margin (FM) = 38 dB Waveguide Length (from antenna base): 6.1 m allowance to equipment Radome Loss = 0.5 dB Connector Loss = 0.5 dB A TO R Frequency = 6.585 GHz Distance = 41 km Waveguide Loss (at 6.585Ghz) = 4.50 dB/100m Antenna Height (A) = 123m Antenna Height (R) = 72m Receiver Signal level (RSL) = FM + Receiver Threshold RSL = 38 dB – 72 dB RSL = -34 dB Free Space Loss (FSL) = 92.4 + 20log F (GHz) + 20log D(km) FSL = 92.4 + 20log(6.585) + 20log(41) FSL = 141.0267927 dB Waveguide Loss A = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss A = 4.50 * (123 + 6.1) / 100 Waveguide Loss A = 5.8095 dB Waveguide Loss R = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss R = 4.50 * (72 + 6.1) / 100 Waveguide Loss R = 3.5145 dB Total Waveguide Loss = Waveguide Loss A + Waveguide Loss R Total Waveguide Loss = 5.8095 + 3.5145 Total Waveguide Loss = 9.324 dB Total Connector Loss = 0.5 dB per site * 2 Total Connector Loss = 1 dB Total Radome Loss = 0.5 dB per site * 2 Total Radome Loss = 1 dB Total Fixed Losses A = Waveguide Loss A + Connector Loss + Radome Loss Total Fixed Losses A = 5.8095 + 0.5 + 0.5 Total Fixed Losses A = 6.8095 dB Total Fixed Losses R = Waveguide Loss B + Connector Loss + Radome Loss Total Fixed Losses R = 3.5145 + 0.5 + 0.5 Total Fixed Losses R = 4.5145 dB
Total Losses = FSL + WG loss + Connector Loss + Radome Loss Total Losses = 141.0267927 + 9.324 + 1 + 1 Total Losses = 152.3507927 dB Total Antenna Gain = RSL – Pt + Total Losses Total Antenna Gain = -34 – 29 + 152.3507927 Total Antenna Gain = 89.3507927 dB Antenna Gain = Total Antenna Gain / 2 Antenna Gain = 89.3507927 / 2 Antenna Gain = 44.67539635 dB Antenna Diameter (D): Antenna Gain = 7.5 + 20log F (GHz) + 20 log B (ft) 44.67539635 = 7.5 + 20log (6.585) + 20log B D = 10.97018719 ft Note: Antenna chosen is 12 ft. REVERSE CALCULATION Antenna Gain = 7.5 + 20log F (GHz) + 20 log D (ft) Antenna Gain = 7.5 + 20log (6.585) + 20log 12 Antenna Gain = 45.45474051 dB Total Antenna Gain = Antenna Gain * 2 Total Antenna Gain = 45.45474051 * 2 Total Antenna Gain = 90.90948101 dB Net Path Loss = Free Space Loss – Total Antenna Gain Net Path Loss = 141.0267927 – 90.90948101 Net Path Loss = 50.11731169 dB Receiver Signal Level = Pt + Total Antenna Gain – Total Losses Receiver Signal Level = 29 + 90.90948101 – 152.3507927 Receiver Signal Level = -32.44131169 dB Fade Margin = Receiver Signal Level – Receiver Threshold Fade Margin = -32.44131169 + 72 Fade Margin = 39.55868831 dB Undp = 2.5*a*b*f*D^3*10^(-FM/10)*10^-6 Undp = 2.5*4*0.25*6.585*(41/1.609344)^3*10^(-1*40.1879127/10)*10^-6 Undp = 3.10323 x 10^-05 Reliability = (1 - Undp)*100% Reliability = (1 – 3.10323 x 10^-05)*100% Reliability = 99.99698677%
R TO A Frequency = 6.729GHz Distance = 41km Waveguide Loss (at 6.729Ghz) = 4.44 dB/100m Antenna Height (A) = 123m Antenna Height (R) = 72m Receiver Signal level (RSL) = FM + Receiver Threshold RSL = 38 dB – 72 dB RSL = -34 dB Free Space Loss (FSL) = 92.4 + 20log F (GHz) + 20log D(km) FSL = 92.4 + 20log(6.729) + 20log(41) FSL = 141.2146877 dB Waveguide Loss A = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss A = 4.44 * (123 + 6.1) / 100 Waveguide Loss A = 5.73204 dB Waveguide Loss R = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss R = 4.44 * (72 + 6.1) / 100 Waveguide Loss R = 3.46764 dB Total Waveguide Loss = Waveguide Loss A + Waveguide Loss R Total Waveguide Loss = 5.73204 + 3.46764 Total Waveguide Loss = 9.19968 dB Total Connector Loss = 0.5 dB per site * 2 Total Connector Loss = 1 dB Total Radome Loss = 0.5 dB per site * 2 Total Radome Loss = 1 dB Total Fixed Losses A = Waveguide Loss A + Connector Loss + Radome Loss Total Fixed Losses A = 5.73204 + 0.5 + 0.5 Total Fixed Losses A = 6.73204 dB Total Fixed Losses R = Waveguide Loss B + Connector Loss + Radome Loss Total Fixed Losses R = 3.46764 + 0.5 + 0.5 Total Fixed Losses R = 4.46764 dB Total Losses = FSL + WG loss + Connector Loss + Radome Loss Total Losses = 141.2146877 + 9.19968 + 1 + 1 dB Total Losses = 152.4143677 dB Total Antenna Gain = RSL – Pt + Total Losses Total Antenna Gain = -34 – 29 + 152.4143677 Total Antenna Gain = 89.4143677 dB Antenna Gain = Total Antenna Gain / 2
Antenna Gain = 89.4143677 / 2 Antenna Gain = 44.70718385 dB Antenna Diameter (D): Antenna Gain = 7.5 + 20log F (GHz) + 20 log B (ft) 44.70718385 = 7.5 + 20log (6.729) + 20log B D = 10.77478627 ft Note: Antenna chosen is 8 ft. REVERSE CALCULATION Antenna Gain = 7.5 + 20log F (GHz) + 20 log D (ft) Antenna Gain = 7.5 + 20log (6.729) + 20log 12 Antenna Gain = 45.64263549 dB Total Antenna Gain = Antenna Gain * 2 Total Antenna Gain = 45.64263549 * 2 Total Antenna Gain = 91.28527097 dB Net Path Loss = Free Space Loss – Total Antenna Gain Net Path Loss = 141.2146877 – 91.28527097 Net Path Loss = 49.92941673 dB Receiver Signal Level = Pt + Total Antenna Gain – Total Losses Receiver Signal Level = 29 + 91.28527097 – 152.4143677 Receiver Signal Level = -32.12909673 dB Fade Margin = Receiver Signal Level – Receiver Threshold Fade Margin = -32.12909673 + 72 Fade Margin = 39.87090327 dB Undp = 2.5*a*b*f*D^3*10^(-FM/10)*10^-6 Undp = 2.5*4*0.25*6.729*(41/1.609344)^3*10^(-40.6830229/10)*10^-6 Undp = 2.86553 x 10^-05 Reliability = (1 - Undp)*100% Reliability = (1 - 2.86553 x 10^-05)*100% Reliability = 99.99713447%
B TO R Frequency = 6.636GHz Distance = 35km Waveguide Loss (at 6.636Ghz) = 4.50 dB/100m Antenna Height (B) = 150m Antenna Height (R) = 663m Receiver Signal level (RSL) = FM + Receiver Threshold RSL = 38 dB – 72 dB RSL = -34 dB Free Space Loss (FSL) = 92.4 + 20log F (GHz) + 20log D(km) FSL = 92.4 + 20log(6.54) + 20log(35) FSL = 139.7194884 dB Waveguide Loss B = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss B = 4.50* (150 + 6.1) / 100 Waveguide Loss B = 7.0245 dB Waveguide Loss R = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss R = 4.50* (663 + 6.1) / 100 Waveguide Loss R = 30.1095 dB Total Waveguide Loss = Waveguide Loss B + Waveguide Loss R Total Waveguide Loss = 7.0245 + 30.1095 Total Waveguide Loss = 370134 dB Total Connector Loss = 0.5 dB per site * 2 Total Connector Loss = 1 dB Total Radome Loss = 0.5 dB per site * 2 Total Radome Loss = 1 dB Total Fixed Losses B = Waveguide Loss B + Connector Loss + Radome Loss Total Fixed Losses B = 7.0245 + 0.5 + 0.5 Total Fixed Losses B = 8.0245 dB Total Fixed Losses R = Waveguide Loss B + Connector Loss + Radome Loss Total Fixed Losses R = 30.1095 + 0.5 + 0.5 Total Fixed Losses R = 31.1095 dB Total Losses = FSL + WG loss + Connector Loss + Radome Loss Total Losses = 139.7194884 + 37.134 + 1 + 1 Total Losses = 178.8534884 dB Total Antenna Gain = RSL – Pt + Total Losses Total Antenna Gain = -34 – 29 + 178.8534884 Total Antenna Gain = 115.8534884 dB Antenna Gain = Total Antenna Gain / 2
Antenna Gain = 115.8534884 / 2 Antenna Gain = 57.92674422 dB Antenna Diameter (D): Antenna Gain = 7.5 + 20log F (GHz) + 20 log B (ft) 57.92674422 = 7.5 + 20log (6.636) + 20log B D = 50.05308308 ft Note: Antenna chosen is 50 ft. REVERSE CALCULATION Antenna Gain = 7.5 + 20log F (GHz) + 20 log D (ft) Antenna Gain = 7.5 + 20log (6.636) + 20log 50 Antenna Gain = 57.91752763 dB Total Antenna Gain = Antenna Gain * 2 Total Antenna Gain = 57.91752763 * 2 Total Antenna Gain = 115.8350553 dB Net Path Loss = Free Space Loss – Total Antenna Gain Net Path Loss = 139.7194884 – 115.8350553 Net Path Loss = 23.88443317 dB Receiver Signal Level = Pt + Total Antenna Gain – Total Losses Receiver Signal Level = 29 + 115.8350553 – 178.8534884 Receiver Signal Level = -34.01843317 dB Fade Margin = Receiver Signal Level – Receiver Threshold Fade Margin = -34.01843317 + 72 Fade Margin = 37.98156683 dB Undp = 2.5*a*b*f*D^3*10^(-FM/10)*10^-6 Undp = 2.5*0.25*0.25*6.636*(35/1.609344)^3*10^(-40.07058714/10)*10^-6 Undp = 1.69757 x 10^-06 Reliability = (1 - Undp)*100% Reliability = (1 – 1.69757 x 10^-06)*100% Reliability = 99.99983024%
R TO B Frequency = 6.824GHz Distance = 35km Waveguide Loss (at 6.824Ghz) = 4.43 dB/100m Antenna Height (B) = 150m Antenna Height (R) = 663m Receiver Signal level (RSL) = FM + Receiver Threshold RSL = 38 dB – 72 dB RSL = -34 dB Free Space Loss (FSL) = 92.4 + 20log F (GHz) + 20log D(km) FSL = 92.4 + 20log(6.824) + 20log(35) FSL = 139.9621413 dB Waveguide Loss B = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss B = 4.43* (150 + 6.1) / 100 Waveguide Loss B = 6.91523 dB Waveguide Loss R = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss R = 4.43* (663 + 6.1) / 100 Waveguide Loss R = 29.64113 dB Total Waveguide Loss = Waveguide Loss A + Waveguide Loss R Total Waveguide Loss = 6.91523 + 29.64113 Total Waveguide Loss = 36.55636 dB Total Connector Loss = 0.5 dB per site Total Connector Loss = 1 dB Total Radome Loss = 0.5 dB per site * 2 Total Radome Loss = 1 dB Total Fixed Losses B = Waveguide Loss B + Connector Loss + Radome Loss Total Fixed Losses A = 6.91523 + 0.5 + 0.5 Total Fixed Losses A = 7.91523 dB Total Fixed Losses R = Waveguide Loss R + Connector Loss + Radome Loss Total Fixed Losses R = 29.64113 + 0.5 + 0.5 Total Fixed Losses R = 30.64113 dB Total Losses = FSL + WG loss + Connector Loss + Radome Loss Total Losses = 139.9621413 + 36.55636 + 1 + 1 Total Losses = 178.5185013 dB Total Antenna Gain = RSL – Pt + Total Losses Total Antenna Gain = -34 – 29 + 178.5185013 Total Antenna Gain = 115.5185013 dB Antenna Gain = Total Antenna Gain / 2
Antenna Gain = 115.5185013 / 2 Antenna Gain = 57.75925063 dB Antenna Diameter (D): Antenna Gain = 7.5 + 20log F (GHz) + 20 log B (ft) 57.75925063 = 7.5 + 20log (6.824) + 20log B D = 47.74451798 ft Note: Antenna chosen is 50 ft. REVERSE CALCULATION Antenna Gain = 7.5 + 20log F (GHz) + 20 log D (ft) Antenna Gain = 7.5 + 20log (6.824) + 20log 50 Antenna Gain = 58.16018045 dB Total Antenna Gain = Antenna Gain * 2 Total Antenna Gain = 58.16018045 * 2 Total Antenna Gain = 116.3203609 dB Net Path Loss = Free Space Loss – Total Antenna Gain Net Path Loss = 139.9621413 – 116.3203609 Net Path Loss = 23.64178035 dB Receiver Signal Level = Pt + Total Antenna Gain – Total Losses Receiver Signal Level = 29 + 116.3203609 – 178.5185013 Receiver Signal Level = -33.19814035 dB Fade Margin = Receiver Signal Level – Receiver Threshold Fade Margin = -33.19814035 + 72 Fade Margin = 38.80185965 dB Undp = 2.5*a*b*f*D^3*10^(-FM/10)*10^-6 Undp = 2.5*0.25*0.25*6.828*(35/1.609344)^3*10^(-40.67130734/10)*10^-6 Undp = 1.44521 x 10^-06 Reliability = (1 - Undp)*100% Reliability = (1 - 1.44521 x 10^-06)*100% Reliability = 99.99985548%
TRANSMISSION CALCULATION
Transmitter Output Power (Pt) = 29 dBm Receiver Threshold = -72 dBm Reliability = 99.99% Fade Margin (FM) = 38 dB Waveguide Length (from antenna base): 6.1 m allowance to equipment Radome Loss = 0.5 dB Connector Loss = 0.5 dB A TO R Frequency = 6.585 GHz Distance = 41 km Waveguide Loss (at 6.585Ghz) = 4.50 dB/100m Antenna Height (A) = 123m Antenna Height (R) = 72m Receiver Signal level (RSL) = FM + Receiver Threshold RSL = 38 dB – 72 dB RSL = -34 dB Free Space Loss (FSL) = 92.4 + 20log F (GHz) + 20log D(km) FSL = 92.4 + 20log(6.585) + 20log(41) FSL = 141.0267927 dB Waveguide Loss A = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss A = 4.50 * (123 + 6.1) / 100 Waveguide Loss A = 5.8095 dB Waveguide Loss R = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss R = 4.50 * (72 + 6.1) / 100 Waveguide Loss R = 3.5145 dB Total Waveguide Loss = Waveguide Loss A + Waveguide Loss R Total Waveguide Loss = 5.8095 + 3.5145 Total Waveguide Loss = 9.324 dB Total Connector Loss = 0.5 dB per site * 2 Total Connector Loss = 1 dB Total Radome Loss = 0.5 dB per site * 2 Total Radome Loss = 1 dB Total Fixed Losses A = Waveguide Loss A + Connector Loss + Radome Loss Total Fixed Losses A = 5.8095 + 0.5 + 0.5 Total Fixed Losses A = 6.8095 dB Total Fixed Losses R = Waveguide Loss B + Connector Loss + Radome Loss Total Fixed Losses R = 3.5145 + 0.5 + 0.5 Total Fixed Losses R = 4.5145 dB
Total Losses = FSL + WG loss + Connector Loss + Radome Loss Total Losses = 141.0267927 + 9.324 + 1 + 1 Total Losses = 152.3507927 dB Total Antenna Gain = RSL – Pt + Total Losses Total Antenna Gain = -34 – 29 + 152.3507927 Total Antenna Gain = 89.3507927 dB Antenna Gain = Total Antenna Gain / 2 Antenna Gain = 89.3507927 / 2 Antenna Gain = 44.67539635 dB Antenna Diameter (D): Antenna Gain = 7.5 + 20log F (GHz) + 20 log B (ft) 44.67539635 = 7.5 + 20log (6.585) + 20log B D = 10.97018719 ft Note: Antenna chosen is 12 ft. REVERSE CALCULATION Antenna Gain = 7.5 + 20log F (GHz) + 20 log D (ft) Antenna Gain = 7.5 + 20log (6.585) + 20log 12 Antenna Gain = 45.45474051 dB Total Antenna Gain = Antenna Gain * 2 Total Antenna Gain = 45.45474051 * 2 Total Antenna Gain = 90.90948101 dB Net Path Loss = Free Space Loss – Total Antenna Gain Net Path Loss = 141.0267927 – 90.90948101 Net Path Loss = 50.11731169 dB Receiver Signal Level = Pt + Total Antenna Gain – Total Losses Receiver Signal Level = 29 + 90.90948101 – 152.3507927 Receiver Signal Level = -32.44131169 dB Fade Margin = Receiver Signal Level – Receiver Threshold Fade Margin = -32.44131169 + 72 Fade Margin = 39.55868831 dB Undp = 2.5*a*b*f*D^3*10^(-FM/10)*10^-6 Undp = 2.5*4*0.25*6.585*(41/1.609344)^3*10^(-1*40.1879127/10)*10^-6 Undp = 3.10323 x 10^-05 Reliability = (1 - Undp)*100% Reliability = (1 – 3.10323 x 10^-05)*100% Reliability = 99.99698677%
R TO A Frequency = 6.729GHz Distance = 41km Waveguide Loss (at 6.729Ghz) = 4.44 dB/100m Antenna Height (A) = 123m Antenna Height (R) = 72m Receiver Signal level (RSL) = FM + Receiver Threshold RSL = 38 dB – 72 dB RSL = -34 dB Free Space Loss (FSL) = 92.4 + 20log F (GHz) + 20log D(km) FSL = 92.4 + 20log(6.729) + 20log(41) FSL = 141.2146877 dB Waveguide Loss A = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss A = 4.44 * (123 + 6.1) / 100 Waveguide Loss A = 5.73204 dB Waveguide Loss R = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss R = 4.44 * (72 + 6.1) / 100 Waveguide Loss R = 3.46764 dB Total Waveguide Loss = Waveguide Loss A + Waveguide Loss R Total Waveguide Loss = 5.73204 + 3.46764 Total Waveguide Loss = 9.19968 dB Total Connector Loss = 0.5 dB per site * 2 Total Connector Loss = 1 dB Total Radome Loss = 0.5 dB per site * 2 Total Radome Loss = 1 dB Total Fixed Losses A = Waveguide Loss A + Connector Loss + Radome Loss Total Fixed Losses A = 5.73204 + 0.5 + 0.5 Total Fixed Losses A = 6.73204 dB Total Fixed Losses R = Waveguide Loss B + Connector Loss + Radome Loss Total Fixed Losses R = 3.46764 + 0.5 + 0.5 Total Fixed Losses R = 4.46764 dB Total Losses = FSL + WG loss + Connector Loss + Radome Loss Total Losses = 141.2146877 + 9.19968 + 1 + 1 dB Total Losses = 152.4143677 dB Total Antenna Gain = RSL – Pt + Total Losses Total Antenna Gain = -34 – 29 + 152.4143677 Total Antenna Gain = 89.4143677 dB Antenna Gain = Total Antenna Gain / 2
Antenna Gain = 89.4143677 / 2 Antenna Gain = 44.70718385 dB Antenna Diameter (D): Antenna Gain = 7.5 + 20log F (GHz) + 20 log B (ft) 44.70718385 = 7.5 + 20log (6.729) + 20log B D = 10.77478627 ft Note: Antenna chosen is 8 ft. REVERSE CALCULATION Antenna Gain = 7.5 + 20log F (GHz) + 20 log D (ft) Antenna Gain = 7.5 + 20log (6.729) + 20log 12 Antenna Gain = 45.64263549 dB Total Antenna Gain = Antenna Gain * 2 Total Antenna Gain = 45.64263549 * 2 Total Antenna Gain = 91.28527097 dB Net Path Loss = Free Space Loss – Total Antenna Gain Net Path Loss = 141.2146877 – 91.28527097 Net Path Loss = 49.92941673 dB Receiver Signal Level = Pt + Total Antenna Gain – Total Losses Receiver Signal Level = 29 + 91.28527097 – 152.4143677 Receiver Signal Level = -32.12909673 dB Fade Margin = Receiver Signal Level – Receiver Threshold Fade Margin = -32.12909673 + 72 Fade Margin = 39.87090327 dB Undp = 2.5*a*b*f*D^3*10^(-FM/10)*10^-6 Undp = 2.5*4*0.25*6.729*(41/1.609344)^3*10^(-40.6830229/10)*10^-6 Undp = 2.86553 x 10^-05 Reliability = (1 - Undp)*100% Reliability = (1 - 2.86553 x 10^-05)*100% Reliability = 99.99713447%
B TO R Frequency = 6.636GHz Distance = 35km Waveguide Loss (at 6.636Ghz) = 4.50 dB/100m Antenna Height (B) = 150m Antenna Height (R) = 663m Receiver Signal level (RSL) = FM + Receiver Threshold RSL = 38 dB – 72 dB RSL = -34 dB Free Space Loss (FSL) = 92.4 + 20log F (GHz) + 20log D(km) FSL = 92.4 + 20log(6.54) + 20log(35) FSL = 139.7194884 dB Waveguide Loss B = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss B = 4.50* (150 + 6.1) / 100 Waveguide Loss B = 7.0245 dB Waveguide Loss R = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss R = 4.50* (663 + 6.1) / 100 Waveguide Loss R = 30.1095 dB Total Waveguide Loss = Waveguide Loss B + Waveguide Loss R Total Waveguide Loss = 7.0245 + 30.1095 Total Waveguide Loss = 370134 dB Total Connector Loss = 0.5 dB per site * 2 Total Connector Loss = 1 dB Total Radome Loss = 0.5 dB per site * 2 Total Radome Loss = 1 dB Total Fixed Losses B = Waveguide Loss B + Connector Loss + Radome Loss Total Fixed Losses B = 7.0245 + 0.5 + 0.5 Total Fixed Losses B = 8.0245 dB Total Fixed Losses R = Waveguide Loss B + Connector Loss + Radome Loss Total Fixed Losses R = 30.1095 + 0.5 + 0.5 Total Fixed Losses R = 31.1095 dB Total Losses = FSL + WG loss + Connector Loss + Radome Loss Total Losses = 139.7194884 + 37.134 + 1 + 1 Total Losses = 178.8534884 dB Total Antenna Gain = RSL – Pt + Total Losses Total Antenna Gain = -34 – 29 + 178.8534884 Total Antenna Gain = 115.8534884 dB Antenna Gain = Total Antenna Gain / 2
Antenna Gain = 115.8534884 / 2 Antenna Gain = 57.92674422 dB Antenna Diameter (D): Antenna Gain = 7.5 + 20log F (GHz) + 20 log B (ft) 57.92674422 = 7.5 + 20log (6.636) + 20log B D = 50.05308308 ft Note: Antenna chosen is 50 ft. REVERSE CALCULATION Antenna Gain = 7.5 + 20log F (GHz) + 20 log D (ft) Antenna Gain = 7.5 + 20log (6.636) + 20log 50 Antenna Gain = 57.91752763 dB Total Antenna Gain = Antenna Gain * 2 Total Antenna Gain = 57.91752763 * 2 Total Antenna Gain = 115.8350553 dB Net Path Loss = Free Space Loss – Total Antenna Gain Net Path Loss = 139.7194884 – 115.8350553 Net Path Loss = 23.88443317 dB Receiver Signal Level = Pt + Total Antenna Gain – Total Losses Receiver Signal Level = 29 + 115.8350553 – 178.8534884 Receiver Signal Level = -34.01843317 dB Fade Margin = Receiver Signal Level – Receiver Threshold Fade Margin = -34.01843317 + 72 Fade Margin = 37.98156683 dB Undp = 2.5*a*b*f*D^3*10^(-FM/10)*10^-6 Undp = 2.5*0.25*0.25*6.636*(35/1.609344)^3*10^(-40.07058714/10)*10^-6 Undp = 1.69757 x 10^-06 Reliability = (1 - Undp)*100% Reliability = (1 – 1.69757 x 10^-06)*100% Reliability = 99.99983024%
R TO B Frequency = 6.824GHz Distance = 35km Waveguide Loss (at 6.824Ghz) = 4.43 dB/100m Antenna Height (B) = 150m Antenna Height (R) = 663m Receiver Signal level (RSL) = FM + Receiver Threshold RSL = 38 dB – 72 dB RSL = -34 dB Free Space Loss (FSL) = 92.4 + 20log F (GHz) + 20log D(km) FSL = 92.4 + 20log(6.824) + 20log(35) FSL = 139.9621413 dB Waveguide Loss B = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss B = 4.43* (150 + 6.1) / 100 Waveguide Loss B = 6.91523 dB Waveguide Loss R = Waveguide Loss * (Antenna Height + Allowance) / 100 Waveguide Loss R = 4.43* (663 + 6.1) / 100 Waveguide Loss R = 29.64113 dB Total Waveguide Loss = Waveguide Loss A + Waveguide Loss R Total Waveguide Loss = 6.91523 + 29.64113 Total Waveguide Loss = 36.55636 dB Total Connector Loss = 0.5 dB per site Total Connector Loss = 1 dB Total Radome Loss = 0.5 dB per site * 2 Total Radome Loss = 1 dB Total Fixed Losses B = Waveguide Loss B + Connector Loss + Radome Loss Total Fixed Losses A = 6.91523 + 0.5 + 0.5 Total Fixed Losses A = 7.91523 dB Total Fixed Losses R = Waveguide Loss R + Connector Loss + Radome Loss Total Fixed Losses R = 29.64113 + 0.5 + 0.5 Total Fixed Losses R = 30.64113 dB Total Losses = FSL + WG loss + Connector Loss + Radome Loss Total Losses = 139.9621413 + 36.55636 + 1 + 1 Total Losses = 178.5185013 dB Total Antenna Gain = RSL – Pt + Total Losses Total Antenna Gain = -34 – 29 + 178.5185013 Total Antenna Gain = 115.5185013 dB Antenna Gain = Total Antenna Gain / 2
Antenna Gain = 115.5185013 / 2 Antenna Gain = 57.75925063 dB Antenna Diameter (D): Antenna Gain = 7.5 + 20log F (GHz) + 20 log B (ft) 57.75925063 = 7.5 + 20log (6.824) + 20log B D = 47.74451798 ft Note: Antenna chosen is 50 ft. REVERSE CALCULATION Antenna Gain = 7.5 + 20log F (GHz) + 20 log D (ft) Antenna Gain = 7.5 + 20log (6.824) + 20log 50 Antenna Gain = 58.16018045 dB Total Antenna Gain = Antenna Gain * 2 Total Antenna Gain = 58.16018045 * 2 Total Antenna Gain = 116.3203609 dB Net Path Loss = Free Space Loss – Total Antenna Gain Net Path Loss = 139.9621413 – 116.3203609 Net Path Loss = 23.64178035 dB Receiver Signal Level = Pt + Total Antenna Gain – Total Losses Receiver Signal Level = 29 + 116.3203609 – 178.5185013 Receiver Signal Level = -33.19814035 dB Fade Margin = Receiver Signal Level – Receiver Threshold Fade Margin = -33.19814035 + 72 Fade Margin = 38.80185965 dB Undp = 2.5*a*b*f*D^3*10^(-FM/10)*10^-6 Undp = 2.5*0.25*0.25*6.828*(35/1.609344)^3*10^(-40.67130734/10)*10^-6 Undp = 1.44521 x 10^-06 Reliability = (1 - Undp)*100% Reliability = (1 - 1.44521 x 10^-06)*100% Reliability = 99.99985548%
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