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!