Question

Satellite Communications. Refer two the following potential transmitter configurations and calculate the overall reliability of each configuration. There is an additional cross-strapping switch in the second configuration. Does this improve the reliability? First diagram: TWTA R-0.85 EPC R-0.9 SWITCH R=0.99 TWTA R=0.85 R=0.9 Second diagram: TWTA R-0.85 R-0.9 SWITCH R=0.99 SWITCH R-0.99 TWTA R-0.85 はt: R=0.9

Answer 1

RS_1 = 0.85 times 0.9 = 0.765 RS_2 = 0.85 times 0.9 = 0.765 QS_0 = (1 - RS_1) times (1 - RS_2) = (1 - 0.765) (1 - 0.765) = 0.055225 RS_0 = 1 - QS_0 = 1 - 0.055225 = 0.044 for whole system Reliability: R' = R_switch times R_s_0 = 0.99 times 0.944 = 0.935 second diagram Qs_1 = (1 - R_TwTA) (1 - R TWTA) = (1 - 0.85)^2 = 0.0225 QS_2 = (1 - R_epc)^2 = (1 - 0.9)^2 = 0.01 RS_1 = (1 - Q_S_1) = (1 - 0.0225) = 0.0775 RS_2 = (1 - Qs_2) = (1 - 0.01) = 0.99 R_Switch overall reliability R = R_switch times Rs_1 times R_switch times Rs_2 = 0.9 times 0.9775 times 0.9 times 0.99 R = 0.783 *In second Diagram Additional cross - strapping switch does not improve reliability