[PD] high-frequency birdsong

[Andy Farnell]

I think in principle yes. Though you might need 
much longer than an hour.

And the bird would need to sing at constant (periodic)
intervals, not factors of the sampling rate, or have a 
random but constant statistical relationship viz timing.

This isnt too different than the idea of "dither", where
an analytical side channel applied over another sampling
signal can reveal information beyond the theoretical 
linits of uniform Shannon-Nyquist. Indeed there is a 
Shannon-Whittaker model for non-uniform. 

It might work because the bird song will not always happen
to coincide with, and fit within, a sample period. There
will be some truncation. This truncation can be leveraged
to infer the structure of the shorter signal.

I have absolutely no chance of giving you a mathematical
proof of that, simply not clever enough, but it seems 
intuitive from certain cryptoanalytical processes I 
have encountered.




On Sun, Jun 05, 2016 at 04:47:51PM +0000, Jonathan Wilkes via Pd-list wrote:
> Hi list,Suppose a bird sings a song in a frequency range around 1gHz. (Yes, "g"Hz)
> 
> The song the bird sings is always exactly the same.
> The bird repeats its song several million times over the course 
> of an hour.
> If I record at a sampling rate of 44.1kHz below the tree in which the bird is perched, 
> for a duration of one hour, would I be able to recreate the bird's song?
> -Jonathan
> 

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