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I want to estimate an upper limit for the data that can be sent over single side band.

The upper limit can be determined using Shannon-Hartley theory.

The Shannon-Hartley theorem is given by: $$C = B \log_2 \left( 1 + \frac{S}{N} \right)$$

For this we require the bandwidth B in Hz, in this case ~3000Hz and the Signal to noise ratio S/N in power.

To convert the signal-to-noise ratio (SNR) from decibels (dB) to the linear form needed, we can use the following formula: $$ \frac{S}{N} = 10^{\left(\frac{\text{SNR (dB)}}{10}\right)} $$

If we are reading voice at say 3 and 1 "Readable with considerable difficulty" and "Faint signals, barely perceptible". What might the implied Signal to noise ratio, be for that?

I might hazard 2dB. In which case, using the formula above I can calculate the limit as ~4116 bps

So, what might the true signal to noise ratio be for an SSB signal reported to be 3 and 1.

If the answer is "It depends". Great! Tell us what it depends on, and give the answer for some likely scenarios!

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