On 08-Jun-15 15:06, Theo Verelst wrote:
Clearly, there's very little knowledge around the basic mathematical proofs underpinning a decent undergrad engineering course. Prisms understand fine what the Fourier transform is, and isn't. Maybe there's an interest in this: http://mathworld.wolfram.com/FourierTransformExponentialFunction.html .
Clearly this is not the exponential signal which I was referring to. This is also a clear indication of the limitation of the sampling theorem I was referring to: since it's not possible to take Fourier transform of an exponential function, people refer to some other function as the "exponential function" in the context of the Fourier transform :)
Anyway, since Theo expressed the wish not to change the direction of the thread, let's not stick to the question that I brought up. Although, if there is a renewed interest to discuss this aspect, I guess, creating a new thread could be an appropriate way to go.
Regards, Vadim -- Vadim Zavalishin Reaktor Application Architect | R&D Native Instruments GmbH +49-30-611035-0 www.native-instruments.com -- dupswapdrop -- the music-dsp mailing list and website: subscription info, FAQ, source code archive, list archive, book reviews, dsp links http://music.columbia.edu/cmc/music-dsp http://music.columbia.edu/mailman/listinfo/music-dsp