[Pd] Complex audio signals
Mathieu Bouchard
matju at artengine.ca
Fri Jun 23 20:25:37 CEST 2006
On Thu, 22 Jun 2006, Mathieu Bouchard wrote:
> On Thu, 22 Jun 2006, Chuckk Hubbard wrote:
>
>> I was told there is exactly one imaginary signal corresponding to any real
>> signal.
>
> There are two: cos(x) is both Re(e^ix) and Re(e^-ix). It's the same for all
> other signals.
Oh, and I also wanted to say: the average of those two is exactly the real
signal cos(x), so the complex spectrum of cos(x) has two non-zero values,
one for a positive frequency (counterclockwise spinning)
one for a negative frequency (clockwise spinning)
_ _ __ ___ _____ ________ _____________ _____________________ ...
| Mathieu Bouchard - tél:+1.514.383.3801 - http://artengine.ca/matju
| Freelance Digital Arts Engineer, Montréal QC Canada
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