Table of Contents
Satellite commulation relies on precise calculations to determination antenna gain and coverage area. Understanding these concepts helps in designing effective satellite links and ensuring optimal signal credith. This guide provides a step- by- step process to perform these calculations extracateley.
Understanding Antenna Gain
Antenna gain measures how well an antenna directa radio frequency energiy in a specic direction. It is usually expressed in decibels (dBi). Higher gain indicates a more focuseud beam, which can increase signal directed and reduce interference.
To calculate antenna gain, you need thee antenna 's fyzical dimensions and thee operating frequency. Te formula is:
CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CCAS3; CCAS3; CCAS1; CCAS1; CLAS1; CLAS3; CLAS33; CLAS333; CCAS33c; CCAS3c; CCAS3c; CCAS3c) CCAS3c; CCAS3c; CCAS3c; CCAS3c) CCAS3CUP3C2; CCAS3CCAS3C2; C3CCAS3C3CCAS3C3C3C2; C3C2; C3; C2; CCAS3CCAS3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C@@
kde G je to anténa 's directivity, calculated a s:
CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3; CCANE3; CCANE3; CCANE3c; CLANE3c; CLANE1; CLANE1; CATI1; CATI3c; CCANE3c; CCANE3c; CCANE3c; CCAMEthiactions; CCAMETICATIDEX;
Here, A is the antenna 's effective apertura, and λ is the vlhoength of the signal.
Calculating Coverage Area
Te coverage area of a satellite antenna depens on it s beamwidth and te distance to the thee ament area. Te main parameter is that e antenna 's beamwidth, which indicates the angular width of the main lobe.
Te approate coverage radius (R) un Earth 's surface can be calculated using:
CLAS1; CLAS1; CLAS3; CLAS3; R = h * tan (θ / 2) CLAS1; CLAS1; CLAS3; CLAS33;
kde je to satellite 's altitude, and θ' s the beamwidth in decrees. Te coverage area (A) is then:
CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3; CCANE3; CLANE3; CCANE1; CLANE1; CLANE1; CLANE1; CATI3; CCANE3; CCANE3;
Praktical Example
Suppose a satellite operates at a frequency of 12 GHz, with an antenna diameter of 1 meter, orbiting at 35,786 km altitude. To find thee gain, first calculate thee condiength:
CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE1; CLANE1; CLANE1; CEUT3; CCANE1; CCADE1; CLANE3c; CCAME. = 0. 025 meter1; CLANE3c; CLANE3c; CLANE3c; CLANE3c; CLANEx1CLANEx3c; CCAPADEX3c; CLANEx3c; CCADEX3c;
Next, determine the directivity G:
FLT: 1; FLT: 2; FLT: 1; FLT; A = (∞ * D CLA1; FLT: 1 CLA1; FLA1; FLA1; FLA1; FLA1; FLA1; FLA1; FLA1; FLT: 3 CLA1; FLA1; FLA1; FLA1; FLT: 4 CLA1; FLA1; FLA1; FLA1; FLA1; FLA1; FLT: 5 CLA1; FLA1; FLA1; FLA1; FLA1; FLA1; FT: 6 CLA1; FLA1; FLA1; FLA1; FT1; FLO1; FLT: 7 CLA1; FLA1; FLA1;
Then, G = (4 * π * 0.785) / (0, 025) CLAS1; CLAS1; FLT: 0 CLAS3; CLAS3; 2 CLAS1; CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; CLAS32
Gain in dBi:
CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; (1257.2) CLANE11; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CCANE3; CCANE3;
For coveage, assuming a beamwidth of 2 differens:
R = 35786 km * tan (1 °) δ 35786 km * 0.01745 μg 624 km
Coverage area:
A = π * (624 km) CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS1; CLAS1; CLAS3; CLAS33; CLAS333; CLAS3CCAS3c; CLAS3CCAS3c; CLAS3CCAS3CATS3CATION;