Jim Lux wrote:
That's not precisely true.  You can get a frequency estimate that is 
substantially more precise than 1/T if the snr is high.  Consider 
super-resolution in an interferometer which is mathematically similar.  What 
you give up is ambiguity.  Probably one of the oldest techniques is that of 
Prony, but there are lots of others


Or, now that I think about it, it's similar to what we do when measuring ADEV.. you can do a crude "how many zero crossings in the time window" or you can do a "fit a sinusoid to a series of ADC samples". One has an uncertainty of "one count/epoch", the other can be substantially better.


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