[Pd] Complex audio signals
Piotr Majdak
piotr at majdak.com
Sun Jun 11 13:56:20 CEST 2006
Chuckk Hubbard wrote:
> I'm teaching myself some DSP stuff, using Miller's Techniques, a
> Digital Filters book, and some other references, and I'm loving it.
> I am wondering, though, how one comes up with a complex audio signal
> for use in Pd. I want to experiment with [czero~], and I've also
> wondered where complex signals come from for [fft~].
I'm not sure I understand your question: Do you want to know why
processing a real signal with the Fourier Transormation can result in a
complex signal?
> It doesn't seem like it would be possible to create a complex signal
> from a real one, but maybe there are ways to synthesize them?
A real signal can be regarded as a special case of a complex signal with
the imaginary part set to zero. To create a complex signal just add an
imaginary part, e.g. real signal x -> hilbert transformation of x -> x',
which is the imaginary part of the analytic signal z=x + jx', z is
complex now.
br, Piotr
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