We could do with amplifying our aerial signals. Up to 50-60dB of gain would be good.
That sounds like a ridiculous amount of gain -- what is your antenna? I suspect that if you think you need that much gain then your antenna signal will be below the noise floor of just about any amplifier.
But I'm just guessing, and look forward to hearing from the experts.
The antenna is a Tekbox TBMA1;
https://www.tekbox.com/product/TBMA1_Manual.pdf a lousy piece of shit but I feel I will get a no if I ask for another one that will do lower frequencies, lesson learnt, never ask the reseller to recommend something, especially Telonic, they are useless, I clearly said that I had to work in the 10's to around or a little over 100MHz and they sold me an aerial that is essentially made for 450MHz.
So with a mere -33dB of gain, yes it needs a little amplification. I have used one 20dB stage and it has improved matters but yes it appears to be taking the noise with it.
So the noise figure, is this on the input or output? if it's on the input then yes I see what you mean, the noise will be amplified as much as the signal, I guess a first very low noise even if not high gain amplifier would be best as that can then be amplified by other amplifiers that are not so good. I have the joy of having to put a 6dB attenuator on the aerial as the VSWR is atrocious at low frequency, I am not sure if this matters more in transmission than reception, my understanding is that everything is a 50omm source/load and it all warks both ways.