Assume I have a signal that oscillates between 10KHz and 9Khz every 500msec (Change happens linearly, so at t=0, it is 10KHz and it goes to 9.5Kz at t=250msec and 9KHz at t=500msec and frequency start to increase and goes back to 10KHz at 1 sec and this goes on)
Assume I sample this signal at 50Khz and I do fft to find out what's the frequency. But due to sampling rate, I have to accumulate some samples where the interest frequency is slowly shifting.
If I were to sample at 500KHz or even 5MHz, can I get a better SNR? (The assumption here is that I can sample for a shorter duration -still several cycles of the target frequency in time domain- and this will provide a less spread signal in a given time and better fft snr. )
My gut tells me, this won't help but I like to ask the crowd.