🚀 go-pugleaf

In <11145@pasteur.Berkeley.EDU> jbuck@galileo.berkeley.edu (Joe Buck) writes:
>If you have available the exact x values where the samples are taken,
>and your signal is band-limited, you can reconstruct exactly the
>continuous-time signal.  Let x[n] be the space coordinate of the nth

Uhm, no, I don't think so...  We proved in class that the sampling
theorem holds when the pulse spacing is irregular *but periodic*.
I am working with aperiodic sample spacing in which the (average) sampling
frequency is not constant.  A simple counterexample serves to show
that one cannot recover the underlying signal without compensating
for sampling frequency changes: DC.

Update:  the name for the class of problems to which mine belongs
seems to be "Multirate Filtering".  I've found a book on the subject
and will be wrapping my head around it.

>You can then resample the continuous-time signal at your desired rate.

Part 2 of my problem is to compute the samples directly, rather than
go through an intermediate.  Particularly not an analog intermediate.
I suppose that may be obvious, but the quoted line makes me fear
I failed to make myself clear.

I also misspelled "spatial".  Sigh.


-- 
Steve Nuchia	      South Coast Computing Services      (713) 964-2462
	"Innocence is a splendid thing, only it has the misfortune
	 not to keep very well and to be easily misled."
	    --- Immanuel Kant,  Groundwork of the Metaphysic of Morals