[music-dsp] time representation in the frequency domain
music-dsp at zenprobe.com
Thu May 14 07:50:41 EDT 2009
You nearly answered this yourself I think, but the time isn't simply in a
single phase of freq rep. A delta in time is represented in frequency by a
infinitely wide spread of frequencies (or finite if sampled) with precise
phase relationships. Mess with the phases and you have white noise.
> ----- Original Message ----- From: "Jan Baumgart" <raga.raga at gmx.de>
> To: <music-dsp at music.columbia.edu>
> Sent: Thursday, May 14, 2009 8:38 PM
> Subject: [music-dsp] time representation in the frequency domain
>> I've got a mathematical question:
>> When doing a fulltime fourier transform (only _one_ big "frame"), how is
>> the time information encoded into the phase?
>> When doing an inverse transform (or for example convolve with an dirac
>> impulse) you get back exactly the same you put in in the first place. So
>> the time information has got to be hidden somewhere in the frequency
>> domain, doesn't it?
>> When looking at a time domain signal from a fourier view, you can look at
>> the frequency information as "encoded" as sine function components. Does
>> the same apply for the time information encoded into the frequency domain?
>> This seems quite mysterious to me...has there been anything published on
>> this subject?
>> jan baumgart.
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