Amateur ExtraE4D12

What is the link margin in a system with a transmit power level of 10 W (+40 dBm), a system antenna gain of 10 dBi, a cable loss of 3 dB, a path loss of 136 dB, a receiver minimum discernable signal of -103 dBm, and a required signal-to-noise ratio of 6 dB?

C
Answer
Receivers, transmitters, and measurements
Type
A
-8dB
B
-14dB
C
+8dB
D
+14dB

Answer Notes

Start by calculating the Received Signal Level (RSL). Add the transmit power (+40 dBm) and system antenna gain (+10 dBi), then subtract the cable loss (3 dB) and path loss (136 dB). This results in an actual RSL of -89 dBm (40 + 10 - 3 - 136 = -89). Next, determine the required minimum signal level. The receiver's minimum discernible signal (MDS) is -103 dBm, and a 6 dB signal-to-noise ratio is required. Adding these together (-103 + 6) means the receiver needs a signal of at least -97 dBm to decode the data reliably. Finally, calculate the link margin by comparing the actual RSL to the required signal level. Subtracting the required level from the actual level (-89 dBm - (-97 dBm)) yields a positive margin of 8 dB.
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What is the received signal level with a transmit power of 10 W (+40 dBm), a transmit antenna gain of 6 dBi, a receive antenna gain of 3 dBi, and a path loss of 100 dB?