---------------------------- Original Message ---------------------------- Subject: Re: [music-dsp] High quality really broad bandwidth pinknoise (ideally more than 32 octaves) From: "Ethan Duni" <ethan.d...@gmail.com> Date: Thu, April 14, 2016 4:09 pm To: "A discussion list for music-related DSP" <music-dsp@music.columbia.edu> -------------------------------------------------------------------------- > Any noise other than white noise is correlated, by definition. That's what > "white noise" means - uncorrelated. Correlation in the time domain is > equivalent to non-constant shape in the frequency domain. i think semantically, what "white" means w.r.t. noise or any signal is that it contains all frequencies equally. another semantic is that "uncorrelated" means an autocorrelation being the dirac impulse function which indicates that there is no correlation for any displacement other than 0 (as with any signal even white noise is correlated to itself for a displacement of 0). the connection between "uncorrelated" and "white" comes from the Fourier transform of the dirac impulse to get a power spectrum, which is flat. � still can't figure out why conformance to 1/f over 32 octaves (or anything more than, say, 13 octaves) is in any way necessary or useful for audio/acoustic application. �and the division by small f has gotta be a bitch. -- r b-j � � � � � � � � �r...@audioimagination.com "Imagination is more important than knowledge." �
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