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Subject: Re: [music-dsp] � 45� Hilbert transformer using pair of IIR APFs

From: "Ethan Fenn" <et...@polyspectral.com>

Date: Sun, February 5, 2017 1:39 pm

To: music-dsp@music.columbia.edu

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> Some very interesting references.

>

> I'm curious what uses people find for the Hilbert transform for in audio.

> An instantaneous amplitude envelope, for use in compressors and other

> envelope-driven effects? Or something else?
using the analytic filter to get the instantaneous amplitude envelope (and, 
also, instantaneous frequency by differentiating phase) is something that works 
only with single sinusoids that are AM'd or FM'd. �for music, i think i would 
LPF
the square of the signal (or run an efficient sliding max algorithm, we 
discussed this a while back) and work with that.
it can also be used to measure phase shift from input to output in a noisy 
environment at specific frequencies (without the phase lag vs. phase lead 
ambiguity).
but
the reason i am most interested is in a frequency shifter. �like the ham radio 
single-sideband (SSB) thingie. �this is not a pitch shifter and detunes 
harmonic overtones into the inharmonic. �but it is totally glitch-free and can 
sometimes be handy to detune something slightly so that
there is not a buildup of energy at a specific frequency (when there is 
feedback of some sort). �pitch shifters can do that too, but time-domain pitch 
shifters might have glitches for non-monotonic input and frequency-domain pitch 
shifters have a huge throughput delay. �also, this
glitch-free frequency shifting can be slowly modulated. �might be useful for 
chorusing. �combined with a pitch shifter and pitch detector, you can shift 
harmonics without shifting the fundamental (i.e. pitch it up with a pitch 
shifter and then bring back down the fundamental to the
original pitch.)



--
r b-j � � � � � � � � �r...@audioimagination.com
"Imagination is more important than knowledge."
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