[music-dsp] stereo-wide pan law?
theover at tiscali.nl
Wed Feb 8 11:25:14 EST 2012
> left = cos 0 * Re - sin 0 * Im = Re
> right = sin theta * Re + cos theta * Im
It sometimes amazes me where people learn all this ..., though I
partially know the answer.
How can you take the Real and imaginary part of a general audio signal,
really, will somebody *with* a proper Electrical Engineering background
try to explain that to themselves, that should be good for a few laughs.
Seriously, a Hilbert space has to do with the mathematical Fourier (not
necessarily the Fast FF) transform (beginning of the 19th century, so
hardly the pinnacle of contemporary mathematics, which would be more in
the field of the Fock transform), and a transform as such will probably
refer to the some variation on the important Fourier Theory. But,
people, the head directionality approximation and thereflectivity of
audio sounds, and even the strengths and relative distances of various
frequencies emanating from small speakers have not directly to do with
this transform, and the idea of the real and imaginary part in
electrical signals has more to do with the three phases of wires
carrying sinusoidal signals coming from an electricity generator than
any sensible audio signal, unless it concerns an extremely specialistic
Ir. Theo Verelst
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