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