"Dana" hath wroth:
290K is the more commonly used value, but 80F (26.6C) is probably better for warmer climates.Let's play with the numbers. This is a Wi-Fi newsgroup, so I'll run the numbers for Wi-Fi. 290K temperature. 25MHz bandwidth.
Noise floor = -198.6 + 10*log(290K) + 10*log(25*10^6) Noise floor = -198.6 + 24.6 * 74 = -100dBm
At 54Mbits/sec, the typical receiver sensitivity is -68dBm. Actually, it seems to vary from -66dBm to -74dBm). However, the -68dBm is at a BER of 10^-5. OFDM at 54Mbits/sec requires a minimum SNR of 24.6dB. Therefore, the real noise floor for the receiver front end is: -68dBm -24.6dBm = -92.6dBm
For calculations at other speeds, I created this table. The typical receiver is a DLink DI-624.
Speed Min Modulation Typical Noise Eb/No Sensit Floor mb/sec dB dBm dBm 11 7.0 CCK -82 -89 5.5 6.0 CCK -85 -91 2 1.6 DQPSK -86 -87.6 1 -3.0 DBPSK -89 -86 54 24.6 64QAM/OFDM -71 -95.6 48 24.1 64QAM/OFDM -71 -95 36 18.8 16QAM/OFDM -78 -96.8 24 17.0 16QAM/OFDM -79 -96 18 10.8 QPSK/OFDM -82 -92.8 12 9.0 QPSK/OFDM -84 -93 9 7.8 BPSK/OFDM -87 -94.8 6 6.0 BPSK/OFDM -88 -94
In a perfect world, the noise floor would be exactly the same value for all speeds. However, perfection is almost impossible and variations in demodulator efficiency, digital noise pickup, and test measurement accuracy result in a rather wide (10dB) range. I just hate reality.
So, back to the coax cable noise. I'll use the 54Mbit/sec numbers. With a thermal noise floor of -100dBm, and a receiver noise floor of
-92.6dBm, there is a 7.4dB margin. Since the coax cable contributes the same amount of noise whether it is a few inches or a few miles long, the maximum attenuation that can be tolerated in the coax cable is 7.4dB. Any less attenuation and the coax noise has no effect on the sensitivity. Any more attenuation, and the coax noise exceeds the signal level. By that time, the receiver losses from the coax attenuation will have a larger effect than the added coax noise, so again the coax noise is negligible. Incidentally, there are a few assumptions in this simplification that I'm too lazy to detail. The
7.4dB is not the exact number but close enough.Incidentally, 7.4dB is about 100ft of LMR-400 plus connector losses.