Is it known how the GH4 handles audio gain? For instance, if the gain control is analog, then the higher the gain the better the signal to noise ratio will be (because although there will be more noise, the signal will have increased by a larger amount). If it is digital gain, then the signal and preamp noise will be increased by the same amount. No point in using digital gain while recording because you could apply exactly the same digital gain in post production, under much more controlled circumstances.
Relevance to the topic is that if cranking up the gain is revealing the noise and it not providing more signal, then you might as well be recording at a lower level in any event and fixing in post production. And if recording at a lower level actually gives a better signal to noise ratio (in other words, the noise is reduced more than the signal is reduced) then there's something weird going on (for example, the digital gain process is itself adding noise, which could be firmware fixable).
Relevance to the topic is that if cranking up the gain is revealing the noise and it not providing more signal, then you might as well be recording at a lower level in any event and fixing in post production. And if recording at a lower level actually gives a better signal to noise ratio (in other words, the noise is reduced more than the signal is reduced) then there's something weird going on (for example, the digital gain process is itself adding noise, which could be firmware fixable).
