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Bill Harris <[EMAIL PROTECTED]> writes:

> You'll have to ensure the input doesn't contain significant energy above
> the Nyquist frequency (which may require a filtering step before the
> FFT).  If the signal does contain higher-frequency components, that
> energy above the sampling frequency will be "folded" back across that
> and appear in lower frequency bins.  It's easy to see that in an
> electronic setup: pump a square wave into an FFT analyzer and watch the
> harmonics.  Those that increase in frequency as you increase the signal
> frequency are real; those that decrease as you increase the frequency
> are aliases (folded-back signals).

That was probably mostly an irrelevant paragraph I wrote.  The data is
already sampled, and most aliasing that might happen has already
happened, no matter how you process the data.

It could be relevant as you upsample quarterly into monthly data if that
tries to take you past the Nyquist rate for the data you have.

Bill
- -- 
Bill Harris                      http://facilitatedsystems.com/weblog/
Facilitated Systems                              Everett, WA 98208 USA
http://facilitatedsystems.com/                  phone: +1 425 337-5541
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