clc clear all % Fixed parameters c = 3e8; % Speed of light (m/s^2) f = 24.125e9; % frequency in Hz. % ISM band: 24.000 GHz to 24.250 GHz, center 24.125 GHz Pt = 10e9; % Power received given as 10 GW (pg. 5 of 9 % Variable Parameters R = 20.2e6; % Distance in meters. MEO = 20,200km, 2,000km < MEO < 35,786km effT = 0.76; % Antenna efficiency of transmitting antenna effR = 0.76; % Antenna efficiency of receiving antenna antRadT = 100; % Transmit antenna radius in meters antRadR = 2512; % Receive antenna radius in meters % Calculations areaT = pi*antRadT^2; % Effective antenna area(here we assume = physical area) m^2 areaR = pi*antRadR^2; % Effective antenna area m^2 lamda = c/f; DmaxT = (areaT*(4*pi))/lamda^2; DmaxR = (areaR*(4*pi))/lamda^2; Gt = DmaxT*effT; % Antenna gain of transmitter in dBi Gr = DmaxR*effR; % Antenna gain of receiver in dBi dB = @(x) 10*log10(x); Pt = dB(Pt); % Convert to dBW Gt = dB(Gt); Gr = dB(Gr); CL = 9.6; % Losses in dB PrIdeal = Pt + Gt + Gr + 20*log10(lamda/(4*pi*R)) - CL; % Note: The Friis transmission equation assumes a matched impedance % condition between transmitter circuitry and transmitting antenna (i.e. % none of Pt is reflected) and between the receiver circuitry and receiving % antenna. It also assumes the antenna polarizations are aligned. p.470 % Wentworth Also, of course, we are in the far field of the antenna. PrIdealW = 10^(PrIdeal/10); % Convert back to Watts fprintf('The power received must be %3.3e Gigawatts for the given parameters.\n', PrIdealW/1e9)