Re: [PD] algorithms for drawing filter response curves

2011-02-17 Thread Mike Moser-Booth
Awesome! I would like to be able to see the phase response, but since most
of the time the user is only interested in the magnitude response, I think
it should be something you can switch to with a message.

.mmb

On Wed, Feb 16, 2011 at 1:53 AM, Hans-Christoph Steiner h...@at.or.atwrote:


 Ok, I got it working in a limited way as a Pd object and I was controlling
 my first filter against noise!  Good fun. You can still run the .tcl file as
 a standalone GUI for dev work.  Get it from my git:

 https://github.com/pd-projects/filterview

 It would be quite nice if the phase was drawn as a thin line over the
 magnatude graph.  What do you think?

 .hc


 On Feb 15, 2011, at 6:31 PM, Mike Moser-Booth wrote:

 Hey Hans,

 Here's an update of filterview. There are now procs for the following
 filters:

 lowpass
 highpass
 allpass
 bandpass
 resonant
 peaking
 highshelf
 lowshelf

 I've added some lines to show the phase response (you have to comment out
 line 135 and uncomment 136 to see it). I also adjust the bandwidth
 calculations so the handles sit where they should (i.e. -3dB for
 bandpass/notch/etc., 1/2 power for peaking/shelf).

 btw, the frequency axis is log-scaled, though it could probably be improved
 a little. I sort of took a Pd approach to it by making an mtof proc, so the
 x-axis gets scaled to linear midi notes and converted to log-frequencies.
 :-) There might be a simpler way to do it. It also doesn't go all the way
 down to 0 Hz, because doing that with this approach causes the lowest
 frequencies to take up too much of the graph. I think Max gets around it by
 using a more compressed scale below 1-2 Hz.

 .mmb

 On Thu, Feb 10, 2011 at 12:39 AM, Mike Moser-Booth 
 mmoserbo...@gmail.comwrote:

 Sure, I can throw the others together. Now that one is done the rest
 should fall into place pretty easily. It might take me a couple of days to
 get to it, though.

 .mmb

 On Wed, Feb 9, 2011 at 11:47 PM, Hans-Christoph Steiner h...@at.or.atwrote:


 That's awesome, thanks!  I committed it under your name:

 https://github.com/pd-projects/filterview

 I'd like to implement all of the relevant filters, which algorithms
 should I use?  Or even better, perhaps you want to take a crack at it while
 I figure out how to display the x/frequency on a log scale :-D

 .hc


 --
 Mike Moser-Booth
 mmoserbo...@gmail.com




 --
 Mike Moser-Booth
 mmoserbo...@gmail.com
  filterview.mmb.tcl.zip







 

 Programs should be written for people to read, and only incidentally for
 machines to execute.
  - from Structure and Interpretation of Computer Programs




-- 
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mmoserbo...@gmail.com
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Re: [PD] algorithms for drawing filter response curves

2011-02-17 Thread Hans-Christoph Steiner


On Feb 16, 2011, at 9:17 PM, Spencer Russell wrote:

On Wed, Feb 16, 2011 at 1:53 AM, Hans-Christoph Steiner  
h...@at.or.at wrote:


Ok, I got it working in a limited way as a Pd object and I was  
controlling
my first filter against noise!  Good fun. You can still run  
the .tcl file as

a standalone GUI for dev work.  Get it from my git:
https://github.com/pd-projects/filterview
It would be quite nice if the phase was drawn as a thin line over the
magnatude graph.  What do you think?
.hc



Hi Hans,

This is a great addition to pd! I'm having a little trouble getting it
to work properly, though. When I drag the filter window I get the
error message 'invalid command name pdsend '.

I just built it and copied the external binary into my pd path, then
opened the help patch.

thanks,
Spencer



Ah, ok, I'm working with 0.43 for now, but I'll have to make a fix for  
0.43.


.hc





Mistrust authority - promote decentralization.  - the hacker ethic



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Re: [PD] algorithms for drawing filter response curves

2011-02-17 Thread Hans-Christoph Steiner


Did you see the phase line in the current implementation?  I think its  
nice to have it there all the time, as long as its not dominant. I  
think having the phase line there will remind people that the effects  
of filters are never as simple as removing selected frequencies.


.hc

On Feb 17, 2011, at 12:53 PM, Mike Moser-Booth wrote:

Awesome! I would like to be able to see the phase response, but  
since most of the time the user is only interested in the magnitude  
response, I think it should be something you can switch to with a  
message.


.mmb

On Wed, Feb 16, 2011 at 1:53 AM, Hans-Christoph Steiner  
h...@at.or.at wrote:


Ok, I got it working in a limited way as a Pd object and I was  
controlling my first filter against noise!  Good fun. You can still  
run the .tcl file as a standalone GUI for dev work.  Get it from my  
git:


https://github.com/pd-projects/filterview

It would be quite nice if the phase was drawn as a thin line over  
the magnatude graph.  What do you think?


.hc


On Feb 15, 2011, at 6:31 PM, Mike Moser-Booth wrote:


Hey Hans,

Here's an update of filterview. There are now procs for the  
following filters:


lowpass
highpass
allpass
bandpass
resonant
peaking
highshelf
lowshelf

I've added some lines to show the phase response (you have to  
comment out line 135 and uncomment 136 to see it). I also adjust  
the bandwidth calculations so the handles sit where they should  
(i.e. -3dB for bandpass/notch/etc., 1/2 power for peaking/shelf).


btw, the frequency axis is log-scaled, though it could probably be  
improved a little. I sort of took a Pd approach to it by making an  
mtof proc, so the x-axis gets scaled to linear midi notes and  
converted to log-frequencies. :-) There might be a simpler way to  
do it. It also doesn't go all the way down to 0 Hz, because doing  
that with this approach causes the lowest frequencies to take up  
too much of the graph. I think Max gets around it by using a more  
compressed scale below 1-2 Hz.


.mmb

On Thu, Feb 10, 2011 at 12:39 AM, Mike Moser-Booth mmoserbo...@gmail.com 
 wrote:
Sure, I can throw the others together. Now that one is done the  
rest should fall into place pretty easily. It might take me a  
couple of days to get to it, though.


.mmb

On Wed, Feb 9, 2011 at 11:47 PM, Hans-Christoph Steiner h...@at.or.at 
 wrote:


That's awesome, thanks!  I committed it under your name:

https://github.com/pd-projects/filterview

I'd like to implement all of the relevant filters, which algorithms  
should I use?  Or even better, perhaps you want to take a crack at  
it while I figure out how to display the x/frequency on a log  
scale :-D


.hc


--
Mike Moser-Booth
mmoserbo...@gmail.com



--
Mike Moser-Booth
mmoserbo...@gmail.com
filterview.mmb.tcl.zip








Programs should be written for people to read, and only incidentally  
for machines to execute.

 - from Structure and Interpretation of Computer Programs




--
Mike Moser-Booth
mmoserbo...@gmail.com






Terrorism is not an enemy.  It cannot be defeated.  It's a tactic.   
It's about as sensible to say we declare war on night attacks and  
expect we're going to win that war.  We're not going to win the war on  
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Re: [PD] algorithms for drawing filter response curves

2011-02-17 Thread Hans-Christoph Steiner


Ok, I pushed updates to the git repo so it should now run using Pd  
older than 0.43.


.hc

On Feb 17, 2011, at 12:53 PM, Mike Moser-Booth wrote:

Awesome! I would like to be able to see the phase response, but  
since most of the time the user is only interested in the magnitude  
response, I think it should be something you can switch to with a  
message.


.mmb

On Wed, Feb 16, 2011 at 1:53 AM, Hans-Christoph Steiner  
h...@at.or.at wrote:


Ok, I got it working in a limited way as a Pd object and I was  
controlling my first filter against noise!  Good fun. You can still  
run the .tcl file as a standalone GUI for dev work.  Get it from my  
git:


https://github.com/pd-projects/filterview

It would be quite nice if the phase was drawn as a thin line over  
the magnatude graph.  What do you think?


.hc


On Feb 15, 2011, at 6:31 PM, Mike Moser-Booth wrote:


Hey Hans,

Here's an update of filterview. There are now procs for the  
following filters:


lowpass
highpass
allpass
bandpass
resonant
peaking
highshelf
lowshelf

I've added some lines to show the phase response (you have to  
comment out line 135 and uncomment 136 to see it). I also adjust  
the bandwidth calculations so the handles sit where they should  
(i.e. -3dB for bandpass/notch/etc., 1/2 power for peaking/shelf).


btw, the frequency axis is log-scaled, though it could probably be  
improved a little. I sort of took a Pd approach to it by making an  
mtof proc, so the x-axis gets scaled to linear midi notes and  
converted to log-frequencies. :-) There might be a simpler way to  
do it. It also doesn't go all the way down to 0 Hz, because doing  
that with this approach causes the lowest frequencies to take up  
too much of the graph. I think Max gets around it by using a more  
compressed scale below 1-2 Hz.


.mmb

On Thu, Feb 10, 2011 at 12:39 AM, Mike Moser-Booth mmoserbo...@gmail.com 
 wrote:
Sure, I can throw the others together. Now that one is done the  
rest should fall into place pretty easily. It might take me a  
couple of days to get to it, though.


.mmb

On Wed, Feb 9, 2011 at 11:47 PM, Hans-Christoph Steiner h...@at.or.at 
 wrote:


That's awesome, thanks!  I committed it under your name:

https://github.com/pd-projects/filterview

I'd like to implement all of the relevant filters, which algorithms  
should I use?  Or even better, perhaps you want to take a crack at  
it while I figure out how to display the x/frequency on a log  
scale :-D


.hc


--
Mike Moser-Booth
mmoserbo...@gmail.com



--
Mike Moser-Booth
mmoserbo...@gmail.com
filterview.mmb.tcl.zip








Programs should be written for people to read, and only incidentally  
for machines to execute.

 - from Structure and Interpretation of Computer Programs




--
Mike Moser-Booth
mmoserbo...@gmail.com





A cellphone to me is just an opportunity to be irritated wherever you  
are. - Linus Torvalds


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Re: [PD] algorithms for drawing filter response curves

2011-02-17 Thread Spencer Russell
Very cool. Works for me, now.

Strangely within the help patch my cursor is always the arrow, and
doesn't change to the hand when I'm in Edit Mode, and doesn't
highlight when the cursor is over inlets/outlets.

-spencer

On Thu, Feb 17, 2011 at 9:20 PM, Hans-Christoph Steiner h...@at.or.at wrote:

 Ok, I pushed updates to the git repo so it should now run using Pd older
 than 0.43.
 .hc
 On Feb 17, 2011, at 12:53 PM, Mike Moser-Booth wrote:

 Awesome! I would like to be able to see the phase response, but since most
 of the time the user is only interested in the magnitude response, I think
 it should be something you can switch to with a message.
 .mmb

 On Wed, Feb 16, 2011 at 1:53 AM, Hans-Christoph Steiner h...@at.or.at
 wrote:

 Ok, I got it working in a limited way as a Pd object and I was controlling
 my first filter against noise!  Good fun. You can still run the .tcl file as
 a standalone GUI for dev work.  Get it from my git:
 https://github.com/pd-projects/filterview
 It would be quite nice if the phase was drawn as a thin line over the
 magnatude graph.  What do you think?
 .hc

 On Feb 15, 2011, at 6:31 PM, Mike Moser-Booth wrote:

 Hey Hans,
 Here's an update of filterview. There are now procs for the following
 filters:
 lowpass
 highpass
 allpass
 bandpass
 resonant
 peaking
 highshelf
 lowshelf
 I've added some lines to show the phase response (you have to comment out
 line 135 and uncomment 136 to see it). I also adjust the bandwidth
 calculations so the handles sit where they should (i.e. -3dB for
 bandpass/notch/etc., 1/2 power for peaking/shelf).
 btw, the frequency axis is log-scaled, though it could probably be
 improved a little. I sort of took a Pd approach to it by making an mtof
 proc, so the x-axis gets scaled to linear midi notes and converted to
 log-frequencies. :-) There might be a simpler way to do it. It also doesn't
 go all the way down to 0 Hz, because doing that with this approach causes
 the lowest frequencies to take up too much of the graph. I think Max gets
 around it by using a more compressed scale below 1-2 Hz.
 .mmb
 On Thu, Feb 10, 2011 at 12:39 AM, Mike Moser-Booth mmoserbo...@gmail.com
 wrote:

 Sure, I can throw the others together. Now that one is done the rest
 should fall into place pretty easily. It might take me a couple of days to
 get to it, though.
 .mmb

 On Wed, Feb 9, 2011 at 11:47 PM, Hans-Christoph Steiner h...@at.or.at
 wrote:

 That's awesome, thanks!  I committed it under your name:
 https://github.com/pd-projects/filterview
 I'd like to implement all of the relevant filters, which algorithms
 should I use?  Or even better, perhaps you want to take a crack at it while
 I figure out how to display the x/frequency on a log scale :-D
 .hc

 --
 Mike Moser-Booth
 mmoserbo...@gmail.com



 --
 Mike Moser-Booth
 mmoserbo...@gmail.com
 filterview.mmb.tcl.zip





 
 Programs should be written for people to read, and only incidentally for
 machines to execute.
  - from Structure and Interpretation of Computer Programs



 --
 Mike Moser-Booth
 mmoserbo...@gmail.com


 

 A cellphone to me is just an opportunity to be irritated wherever you are.
 - Linus Torvalds

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Re: [PD] algorithms for drawing filter response curves

2011-02-17 Thread Mike Moser-Booth
I think people should realize it, but the helpfile will probably
remind them, too.  I mean, I'm the type of person that would probably
want to see it, but I don't think it's something that always needs to
be seen. In general, I don't think people are particularly interested
in how a lowpass filter affects the phase, and if all you're looking
to do is lowpass filter a sound, it probably won't matter. Besides,
the units don't line up. The y-axis goes from 25 to -25 dB in the
magnitude response pi to -pi radians in the phase response. That's
something that could confuse someone who doesn't really understand
phase alterations to begin with. I think it makes more sense to either
be able to turn it on and off or switch between the two.

The more flexible the object is, the better. :-)

.mmb

On Thu, Feb 17, 2011 at 3:47 PM, Hans-Christoph Steiner h...@at.or.at wrote:

 Did you see the phase line in the current implementation?  I think its nice 
 to have it there all the time, as long as its not dominant. I think having 
 the phase line there will remind people that the effects of filters are never 
 as simple as removing selected frequencies.
 .hc

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Re: [PD] algorithms for drawing filter response curves

2011-02-16 Thread Spencer Russell
On Wed, Feb 16, 2011 at 1:53 AM, Hans-Christoph Steiner h...@at.or.at wrote:

 Ok, I got it working in a limited way as a Pd object and I was controlling
 my first filter against noise!  Good fun. You can still run the .tcl file as
 a standalone GUI for dev work.  Get it from my git:
 https://github.com/pd-projects/filterview
 It would be quite nice if the phase was drawn as a thin line over the
 magnatude graph.  What do you think?
 .hc


Hi Hans,

This is a great addition to pd! I'm having a little trouble getting it
to work properly, though. When I drag the filter window I get the
error message 'invalid command name pdsend '.

I just built it and copied the external binary into my pd path, then
opened the help patch.

thanks,
Spencer

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Re: [PD] algorithms for drawing filter response curves

2011-02-15 Thread Hans-Christoph Steiner

Nice, it works for me! I'll take a stab at making it work as a Pd object
now, I'll try tonight.

.hc

On Tue, 2011-02-15 at 18:31 -0500, Mike Moser-Booth wrote:
 Hey Hans,
 
 
 Here's an update of filterview. There are now procs for the following
 filters:
 
 
 lowpass
 highpass
 allpass
 bandpass
 resonant
 peaking
 highshelf
 lowshelf
 
 
 I've added some lines to show the phase response (you have to comment
 out line 135 and uncomment 136 to see it). I also adjust the bandwidth
 calculations so the handles sit where they should (i.e. -3dB for
 bandpass/notch/etc., 1/2 power for peaking/shelf).
 
 
 btw, the frequency axis is log-scaled, though it could probably be
 improved a little. I sort of took a Pd approach to it by making an
 mtof proc, so the x-axis gets scaled to linear midi notes and
 converted to log-frequencies. :-) There might be a simpler way to do
 it. It also doesn't go all the way down to 0 Hz, because doing that
 with this approach causes the lowest frequencies to take up too much
 of the graph. I think Max gets around it by using a more compressed
 scale below 1-2 Hz.
 
 
 .mmb
 
 On Thu, Feb 10, 2011 at 12:39 AM, Mike Moser-Booth
 mmoserbo...@gmail.com wrote:
 Sure, I can throw the others together. Now that one is done
 the rest should fall into place pretty easily. It might take
 me a couple of days to get to it, though.
 
 
 .mmb
 
 On Wed, Feb 9, 2011 at 11:47 PM, Hans-Christoph Steiner
 h...@at.or.at wrote:
 
 
 That's awesome, thanks!  I committed it under your
 name:
 
 
 https://github.com/pd-projects/filterview
 
 
 I'd like to implement all of the relevant filters,
 which algorithms should I use?  Or even better,
 perhaps you want to take a crack at it while I figure
 out how to display the x/frequency on a log scale :-D
 
 
 .hc
 
 
 
 
 -- 
 Mike Moser-Booth
 mmoserbo...@gmail.com
 
 
 
 
 -- 
 Mike Moser-Booth
 mmoserbo...@gmail.com
 



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Re: [PD] algorithms for drawing filter response curves

2011-02-15 Thread Hans-Christoph Steiner


Ok, I got it working in a limited way as a Pd object and I was  
controlling my first filter against noise!  Good fun. You can still  
run the .tcl file as a standalone GUI for dev work.  Get it from my git:


https://github.com/pd-projects/filterview

It would be quite nice if the phase was drawn as a thin line over the  
magnatude graph.  What do you think?


.hc


On Feb 15, 2011, at 6:31 PM, Mike Moser-Booth wrote:


Hey Hans,

Here's an update of filterview. There are now procs for the  
following filters:


lowpass
highpass
allpass
bandpass
resonant
peaking
highshelf
lowshelf

I've added some lines to show the phase response (you have to  
comment out line 135 and uncomment 136 to see it). I also adjust the  
bandwidth calculations so the handles sit where they should (i.e.  
-3dB for bandpass/notch/etc., 1/2 power for peaking/shelf).


btw, the frequency axis is log-scaled, though it could probably be  
improved a little. I sort of took a Pd approach to it by making an  
mtof proc, so the x-axis gets scaled to linear midi notes and  
converted to log-frequencies. :-) There might be a simpler way to do  
it. It also doesn't go all the way down to 0 Hz, because doing that  
with this approach causes the lowest frequencies to take up too much  
of the graph. I think Max gets around it by using a more compressed  
scale below 1-2 Hz.


.mmb

On Thu, Feb 10, 2011 at 12:39 AM, Mike Moser-Booth mmoserbo...@gmail.com 
 wrote:
Sure, I can throw the others together. Now that one is done the rest  
should fall into place pretty easily. It might take me a couple of  
days to get to it, though.


.mmb

On Wed, Feb 9, 2011 at 11:47 PM, Hans-Christoph Steiner  
h...@at.or.at wrote:


That's awesome, thanks!  I committed it under your name:

https://github.com/pd-projects/filterview

I'd like to implement all of the relevant filters, which algorithms  
should I use?  Or even better, perhaps you want to take a crack at  
it while I figure out how to display the x/frequency on a log  
scale :-D


.hc


--
Mike Moser-Booth
mmoserbo...@gmail.com



--
Mike Moser-Booth
mmoserbo...@gmail.com
filterview.mmb.tcl.zip








Programs should be written for people to read, and only incidentally  
for machines to execute.

 - from Structure and Interpretation of Computer Programs

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Re: [PD] algorithms for drawing filter response curves

2011-02-09 Thread Hans-Christoph Steiner


On Feb 7, 2011, at 3:05 PM, cyrille henry wrote:




Le 07/02/2011 20:50, Hans-Christoph Steiner a écrit :



...

I like that [bq~] has audio inputs,

yep, that's very useful.

but can you send a list of them to the first inlet, like [biquad~]?

no, you need an unpack f f f f f...
i think to add this functionality should not be to hard, but do  
you really need it?



Its what [biquad~] uses, so other objects expect that, like the  
filter calcs in ggee. Plus this new filterview object I'm working  
on would output a list, and using a list means making just a single  
connection rather than 5.



ok. here is bq_list~
is that what you wanted?


If you want this filterview GUI to easily control your object, then  
yes, it should accept a list of biquad coefficients.


.hc



c


.hc




I spent 33 years and four months in active military service and  
during that period I spent most of my time as a high class muscle  
man for Big Business, for Wall Street and the bankers. - General  
Smedley Butler





bq_list.zip






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King, Jr.




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Re: [PD] algorithms for drawing filter response curves

2011-02-09 Thread Hans-Christoph Steiner


That's awesome, thanks!  I committed it under your name:

https://github.com/pd-projects/filterview

I'd like to implement all of the relevant filters, which algorithms  
should I use?  Or even better, perhaps you want to take a crack at it  
while I figure out how to display the x/frequency on a log scale :-D


.hc

On Feb 9, 2011, at 11:07 PM, Mike Moser-Booth wrote:


Hey Hans,

I had some time to go over this today, and I think I've got the  
response working. I didn't document my changes as I went along  
(sorry), but I think I remembered them all and wrote them at the top  
of the attached script. Also, I should take back what I said earlier  
about the bandwidth. Given this gui, it makes sense for it to be BW.


.mmb

On Tue, Feb 8, 2011 at 12:08 AM, Hans-Christoph Steiner  
h...@at.or.at wrote:


I'll check out the settings.  As for running this, its a script, you  
can just run it on the Terminal.  On GNU/Linux, it should just  
work.  On Mac OS X, you'll probably need to have run it like this:


/usr/bin/wish filterview.tcl

.hc

On Feb 7, 2011, at 11:20 PM, Mike Moser-Booth wrote:

I don't really know how to test this and I don't really know tcl,  
but I tried looking at the code to see if I could make some sense  
of it anyway, because why the hell not. ;-) Anyway, the only part I  
really understood was the calculation of the coefficients, and I  
noticed something wrong. You are calculating alpha for bandwidth  
instead of Q. I'm guessing you're just borrowing what is in the  
ggee externals (given the code's comments), because it's done the  
same way there, but it's not really conventional for a lowpass  
filter. That's really more for bandpass, notch, and peaking  
filters. Using Q is also a simpler calculation: alpha = sin(omega)/ 
(2*Q). With Q set to .7071 (or -3 dBfs), you have a filter with no  
resonance, which makes sense because the cutoff frequency for a  
lowpass filter is defined as the frequency where the response falls  
be 3 dB. This is also how Max's [filtergraph~] works.


It's all defined here in Robert Bristow-Johnson's Cookbook:

http://www.musicdsp.org/files/Audio-EQ-Cookbook.txt

The ggee externals, as far as I can tell, are all based on this  
cookbook, though with mistakes like using BW instead of Q.


Hope that helps,
.mmb

On Mon, Feb 7, 2011 at 10:03 PM, Hans-Christoph Steiner h...@at.or.at 
 wrote:


On Feb 7, 2011, at 8:35 PM, Spencer Russell wrote:

On Sun, Feb 6, 2011 at 11:15 PM, Mathieu Bouchard  
ma...@artengine.ca wrote:

On Sun, 6 Feb 2011, Spencer Russell wrote:

[1] gives the magnitude frequency response given the biquad
coefficents, and it linked to from several places around the net. Is
this the sort of thing you're looking for?
[1] http://bit.ly/eFck4j

This link got me directly to :

 USB complete: everything you need to develop custom USB peripherals
 Par Jan Axelson
 Chapitre 12
 Page 364

and nothing else. (??)


Whoops, I meant to send this: http://bit.ly/gUCBu4. Sorry.

Here he's basically just taken the transfer function of a biquad and
made the z = exp(j*w/Fs) as Mike suggested, followed by taking the
magnitude and log-scaling for dB, but he's done the algebraic  
legwork.

Just note that w (lower-case omega) is 2*pi*f and you should be good
to go. He's also done some trig-substitution for more numerical
precision.

I'm making good progress, but now am getting lost in the filter  
math meeting the pixel math.  Can someone mathy check my math?  Or  
even try it out?



https://github.com/pd-projects/filterview

.hc




 ¡El pueblo unido jamás será vencido!




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Re: [PD] algorithms for drawing filter response curves

2011-02-09 Thread Mike Moser-Booth
Sure, I can throw the others together. Now that one is done the rest should
fall into place pretty easily. It might take me a couple of days to get to
it, though.

.mmb

On Wed, Feb 9, 2011 at 11:47 PM, Hans-Christoph Steiner h...@at.or.atwrote:


 That's awesome, thanks!  I committed it under your name:

 https://github.com/pd-projects/filterview

 I'd like to implement all of the relevant filters, which algorithms should
 I use?  Or even better, perhaps you want to take a crack at it while I
 figure out how to display the x/frequency on a log scale :-D

 .hc


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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread volker böhm

On 07.02.2011, at 00:12, Hans-Christoph Steiner wrote:

 
 I've started to write a GUI for generating biquad coefficients (something 
 like Max/MSP's [filtergraph~]).  I've gotten the GUI interaction working 
 well, now I'm looking for the algorithms for generating a plot of the 
 frequency response of a given set of biquad coefficents?  It'll end up being 
 Tcl, but I can easily read C, Csound, Java, Perl, Python, etc.
 
 .hc

i've been using the attached js file to query amplitude and phase response of 
biquad coeffs,
where the coeffs are expected to be of the form: y[n] = a0 * x[n] + a1 * x[n-1] 
+ a2 * x[n-2] - b1 * y[n-1] - b2 * y[n-2] (like in maxmsp).
so, you'd have to rearrage the coeffs and turn the sign of the fb coeffs to 
make it work with the pd biquad~.

vb



queryBiquad.js
Description: JavaScript source



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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Bernardo Barros
2011/2/6 Hans-Christoph Steiner h...@at.or.at:

 I've started to write a GUI for generating biquad coefficients (something
 like Max/MSP's [filtergraph~]).  I've gotten the GUI interaction working
 well, now I'm looking for the algorithms for generating a plot of the
 frequency response of a given set of biquad coefficents?  It'll end up being
 Tcl, but I can easily read C, Csound, Java, Perl, Python, etc.

Hey Hans,

Take a look in the wslib SC Quarks, it is implemented there.

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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread cyrille henry



Le 07/02/2011 12:12, volker böhm a écrit :


On 07.02.2011, at 00:12, Hans-Christoph Steiner wrote:



I've started to write a GUI for generating biquad coefficients (something like 
Max/MSP's [filtergraph~]).  I've gotten the GUI interaction working well, now 
I'm looking for the algorithms for generating a plot of the frequency response 
of a given set of biquad coefficents?  It'll end up being Tcl, but I can easily 
read C, Csound, Java, Perl, Python, etc.

.hc


i've been using the attached js file to query amplitude and phase response of 
biquad coeffs,
where the coeffs are expected to be of the form: y[n] = a0 * x[n] + a1 * x[n-1] 
+ a2 * x[n-2] - b1 * y[n-1] - b2 * y[n-2] (like in maxmsp).
so, you'd have to rearrage the coeffs and turn the sign of the fb coeffs to 
make it work with the pd biquad~.


or use bq~  from nusmuk-audio lib.

cyrille



vb









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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Hans-Christoph Steiner


On Feb 7, 2011, at 6:36 AM, cyrille henry wrote:




Le 07/02/2011 12:12, volker böhm a écrit :


On 07.02.2011, at 00:12, Hans-Christoph Steiner wrote:



I've started to write a GUI for generating biquad coefficients  
(something like Max/MSP's [filtergraph~]).  I've gotten the GUI  
interaction working well, now I'm looking for the algorithms for  
generating a plot of the frequency response of a given set of  
biquad coefficents?  It'll end up being Tcl, but I can easily read  
C, Csound, Java, Perl, Python, etc.


.hc


i've been using the attached js file to query amplitude and phase  
response of biquad coeffs,
where the coeffs are expected to be of the form: y[n] = a0 * x[n] +  
a1 * x[n-1] + a2 * x[n-2] - b1 * y[n-1] - b2 * y[n-2] (like in  
maxmsp).
so, you'd have to rearrage the coeffs and turn the sign of the fb  
coeffs to make it work with the pd biquad~.


or use bq~  from nusmuk-audio lib.



I like that [bq~] has audio inputs, but can you send a list of them to  
the first inlet, like [biquad~]?


.hc




  http://at.or.at/hans/



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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Hans-Christoph Steiner


On Feb 7, 2011, at 6:12 AM, volker böhm wrote:



On 07.02.2011, at 00:12, Hans-Christoph Steiner wrote:



I've started to write a GUI for generating biquad coefficients  
(something like Max/MSP's [filtergraph~]).  I've gotten the GUI  
interaction working well, now I'm looking for the algorithms for  
generating a plot of the frequency response of a given set of  
biquad coefficents?  It'll end up being Tcl, but I can easily read  
C, Csound, Java, Perl, Python, etc.


.hc


i've been using the attached js file to query amplitude and phase  
response of biquad coeffs,
where the coeffs are expected to be of the form: y[n] = a0 * x[n] +  
a1 * x[n-1] + a2 * x[n-2] - b1 * y[n-1] - b2 * y[n-2] (like in  
maxmsp).
so, you'd have to rearrage the coeffs and turn the sign of the fb  
coeffs to make it work with the pd biquad~.


vb

queryBiquad.js


Thanks, that helped.  Here's what I have so far: I got the mouse  
interaction almost completed, now I'm just starting the plotting part,  
which has a ways to go.


.hc


filterview.tcl
Description: Binary data






Access to computers should be unlimited and total.  - the hacker ethic


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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Hans-Christoph Steiner


On Feb 7, 2011, at 12:43 PM, Hans-Christoph Steiner wrote:



On Feb 7, 2011, at 6:12 AM, volker böhm wrote:



On 07.02.2011, at 00:12, Hans-Christoph Steiner wrote:



I've started to write a GUI for generating biquad coefficients  
(something like Max/MSP's [filtergraph~]).  I've gotten the GUI  
interaction working well, now I'm looking for the algorithms for  
generating a plot of the frequency response of a given set of  
biquad coefficents?  It'll end up being Tcl, but I can easily read  
C, Csound, Java, Perl, Python, etc.


.hc


i've been using the attached js file to query amplitude and phase  
response of biquad coeffs,
where the coeffs are expected to be of the form: y[n] = a0 * x[n] +  
a1 * x[n-1] + a2 * x[n-2] - b1 * y[n-1] - b2 * y[n-2] (like in  
maxmsp).
so, you'd have to rearrage the coeffs and turn the sign of the fb  
coeffs to make it work with the pd biquad~.


vb

queryBiquad.js


Thanks, that helped.  Here's what I have so far: I got the mouse  
interaction almost completed, now I'm just starting the plotting  
part, which has a ways to go.


.hc
filterview.tcl



I also just pushed my git to a public repo:

https://github.com/pd-projects/filterview

.hc




If nature has made any one thing less susceptible than all others of  
exclusive property, it is the action of the thinking power called an  
idea, which an individual may exclusively possess as long as he keeps  
it to himself; but the moment it is divulged, it forces itself into  
the possession of everyone, and the receiver cannot dispossess himself  
of it.- Thomas Jefferson




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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Claude Heiland-Allen

On 06/02/11 23:12, Hans-Christoph Steiner wrote:

 now I'm looking for the algorithms for
generating a plot of the frequency response of a given set of biquad
coefficents?


See perhaps:

http://www-users.cs.york.ac.uk/~fisher/mkfilter/

In particular:

http://www-users.cs.york.ac.uk/~fisher/software/mkfilter/current/complex.C
global complex evaluate(complex topco[], int nz, complex botco[], int 
np, complex z)


http://www-users.cs.york.ac.uk/~fisher/software/mkfilter/current/genplot.C
static void computefr(complex fr[], int nsteps)


Claude

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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread cyrille henry



Le 07/02/2011 18:40, Hans-Christoph Steiner a écrit :


On Feb 7, 2011, at 6:36 AM, cyrille henry wrote:




Le 07/02/2011 12:12, volker böhm a écrit :


On 07.02.2011, at 00:12, Hans-Christoph Steiner wrote:



I've started to write a GUI for generating biquad coefficients (something like 
Max/MSP's [filtergraph~]). I've gotten the GUI interaction working well, now 
I'm looking for the algorithms for generating a plot of the frequency response 
of a given set of biquad coefficents? It'll end up being Tcl, but I can easily 
read C, Csound, Java, Perl, Python, etc.

.hc


i've been using the attached js file to query amplitude and phase response of 
biquad coeffs,
where the coeffs are expected to be of the form: y[n] = a0 * x[n] + a1 * x[n-1] 
+ a2 * x[n-2] - b1 * y[n-1] - b2 * y[n-2] (like in maxmsp).
so, you'd have to rearrage the coeffs and turn the sign of the fb coeffs to 
make it work with the pd biquad~.


or use bq~ from nusmuk-audio lib.



I like that [bq~] has audio inputs,

yep, that's very useful.

but can you send a list of them to the first inlet, like [biquad~]?

no, you need an unpack f f f f f...
i think to add this functionality should not be to hard, but do you really need 
it?

C



.hc




http://at.or.at/hans/





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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Hans-Christoph Steiner


On Feb 7, 2011, at 2:39 PM, cyrille henry wrote:




Le 07/02/2011 18:40, Hans-Christoph Steiner a écrit :


On Feb 7, 2011, at 6:36 AM, cyrille henry wrote:




Le 07/02/2011 12:12, volker böhm a écrit :


On 07.02.2011, at 00:12, Hans-Christoph Steiner wrote:



I've started to write a GUI for generating biquad coefficients  
(something like Max/MSP's [filtergraph~]). I've gotten the GUI  
interaction working well, now I'm looking for the algorithms for  
generating a plot of the frequency response of a given set of  
biquad coefficents? It'll end up being Tcl, but I can easily  
read C, Csound, Java, Perl, Python, etc.


.hc


i've been using the attached js file to query amplitude and phase  
response of biquad coeffs,
where the coeffs are expected to be of the form: y[n] = a0 * x[n]  
+ a1 * x[n-1] + a2 * x[n-2] - b1 * y[n-1] - b2 * y[n-2] (like in  
maxmsp).
so, you'd have to rearrage the coeffs and turn the sign of the fb  
coeffs to make it work with the pd biquad~.


or use bq~ from nusmuk-audio lib.



I like that [bq~] has audio inputs,

yep, that's very useful.

but can you send a list of them to the first inlet, like [biquad~]?

no, you need an unpack f f f f f...
i think to add this functionality should not be to hard, but do you  
really need it?



Its what [biquad~] uses, so other objects expect that, like the filter  
calcs in ggee.  Plus this new filterview object I'm working on would  
output a list, and using a list means making just a single connection  
rather than 5.


.hc




I spent 33 years and four months in active military service and during  
that period I spent most of my time as a high class muscle man for Big  
Business, for Wall Street and the bankers.  - General Smedley Butler




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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Mathieu Bouchard

On 07.02.2011, at 00:12, Hans-Christoph Steiner wrote:


I've started to write a GUI for generating biquad coefficients (something 
like Max/MSP's [filtergraph~]).  I've gotten the GUI interaction working 
well, now I'm looking for the algorithms for generating a plot of the 
frequency response of a given set of biquad coefficents?  It'll end up 
being Tcl, but I can easily read C, Csound, Java, Perl, Python, etc.


Actually, why don't you push a [sig~ 1] through a [rifft~] and use that as 
a probe with which you will connect to a spectrogram patch ?


(the probe's [rifft~] and the spectrogram's [fft~] have to use the same 
block size.)


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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Hans-Christoph Steiner


On Feb 7, 2011, at 3:33 PM, Mathieu Bouchard wrote:


On 07.02.2011, at 00:12, Hans-Christoph Steiner wrote:
I've started to write a GUI for generating biquad coefficients  
(something like Max/MSP's [filtergraph~]).  I've gotten the GUI  
interaction working well, now I'm looking for the algorithms for  
generating a plot of the frequency response of a given set of  
biquad coefficents?  It'll end up being Tcl, but I can easily  
read C, Csound, Java, Perl, Python, etc.


Actually, why don't you push a [sig~ 1] through a [rifft~] and use  
that as a probe with which you will connect to a spectrogram patch ?


(the probe's [rifft~] and the spectrogram's [fft~] have to use the  
same block size.)



Because I'm doing this in Tcl... Its a GUI object.

.hc








It is convenient to imagine a power beyond us because that means we  
don't have to examine our own lives., from The Idols of  
Environmentalism, by Curtis White






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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Spencer Russell
On Sun, Feb 6, 2011 at 11:15 PM, Mathieu Bouchard ma...@artengine.ca wrote:
 On Sun, 6 Feb 2011, Spencer Russell wrote:

 [1] gives the magnitude frequency response given the biquad
 coefficents, and it linked to from several places around the net. Is
 this the sort of thing you're looking for?
 [1] http://bit.ly/eFck4j

 This link got me directly to :

  USB complete: everything you need to develop custom USB peripherals
  Par Jan Axelson
  Chapitre 12
  Page 364

 and nothing else. (??)


Whoops, I meant to send this: http://bit.ly/gUCBu4. Sorry.

Here he's basically just taken the transfer function of a biquad and
made the z = exp(j*w/Fs) as Mike suggested, followed by taking the
magnitude and log-scaling for dB, but he's done the algebraic legwork.
Just note that w (lower-case omega) is 2*pi*f and you should be good
to go. He's also done some trig-substitution for more numerical
precision.

-s

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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Hans-Christoph Steiner


On Feb 7, 2011, at 8:35 PM, Spencer Russell wrote:

On Sun, Feb 6, 2011 at 11:15 PM, Mathieu Bouchard  
ma...@artengine.ca wrote:

On Sun, 6 Feb 2011, Spencer Russell wrote:


[1] gives the magnitude frequency response given the biquad
coefficents, and it linked to from several places around the net. Is
this the sort of thing you're looking for?
[1] http://bit.ly/eFck4j


This link got me directly to :

 USB complete: everything you need to develop custom USB peripherals
 Par Jan Axelson
 Chapitre 12
 Page 364

and nothing else. (??)



Whoops, I meant to send this: http://bit.ly/gUCBu4. Sorry.

Here he's basically just taken the transfer function of a biquad and
made the z = exp(j*w/Fs) as Mike suggested, followed by taking the
magnitude and log-scaling for dB, but he's done the algebraic legwork.
Just note that w (lower-case omega) is 2*pi*f and you should be good
to go. He's also done some trig-substitution for more numerical
precision.


I'm making good progress, but now am getting lost in the filter math  
meeting the pixel math.  Can someone mathy check my math?  Or even try  
it out?


https://github.com/pd-projects/filterview

.hc




  ¡El pueblo unido jamás será vencido!



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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Mike Moser-Booth
I don't really know how to test this and I don't really know tcl, but I
tried looking at the code to see if I could make some sense of it anyway,
because why the hell not. ;-) Anyway, the only part I really understood was
the calculation of the coefficients, and I noticed something wrong. You are
calculating alpha for bandwidth instead of Q. I'm guessing you're just
borrowing what is in the ggee externals (given the code's comments), because
it's done the same way there, but it's not really conventional for a lowpass
filter. That's really more for bandpass, notch, and peaking filters. Using Q
is also a simpler calculation: alpha = sin(omega)/(2*Q). With Q set to .7071
(or -3 dBfs), you have a filter with no resonance, which makes sense because
the cutoff frequency for a lowpass filter is defined as the frequency where
the response falls be 3 dB. This is also how Max's [filtergraph~] works.

It's all defined here in Robert Bristow-Johnson's Cookbook:

http://www.musicdsp.org/files/Audio-EQ-Cookbook.txt

The ggee externals, as far as I can tell, are all based on this cookbook,
though with mistakes like using BW instead of Q.

Hope that helps,
.mmb

On Mon, Feb 7, 2011 at 10:03 PM, Hans-Christoph Steiner h...@at.or.atwrote:


 On Feb 7, 2011, at 8:35 PM, Spencer Russell wrote:

  On Sun, Feb 6, 2011 at 11:15 PM, Mathieu Bouchard ma...@artengine.ca
 wrote:

 On Sun, 6 Feb 2011, Spencer Russell wrote:

  [1] gives the magnitude frequency response given the biquad
 coefficents, and it linked to from several places around the net. Is
 this the sort of thing you're looking for?
 [1] http://bit.ly/eFck4j


 This link got me directly to :

  USB complete: everything you need to develop custom USB peripherals
  Par Jan Axelson
  Chapitre 12
  Page 364

 and nothing else. (??)


 Whoops, I meant to send this: http://bit.ly/gUCBu4. Sorry.

 Here he's basically just taken the transfer function of a biquad and
 made the z = exp(j*w/Fs) as Mike suggested, followed by taking the
 magnitude and log-scaling for dB, but he's done the algebraic legwork.
 Just note that w (lower-case omega) is 2*pi*f and you should be good
 to go. He's also done some trig-substitution for more numerical
 precision.


 I'm making good progress, but now am getting lost in the filter math
 meeting the pixel math.  Can someone mathy check my math?  Or even try it
 out?


 https://github.com/pd-projects/filterview

 .hc



 

  ¡El pueblo unido jamás será vencido!




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Re: [PD] algorithms for drawing filter response curves

2011-02-07 Thread Hans-Christoph Steiner


I'll check out the settings.  As for running this, its a script, you  
can just run it on the Terminal.  On GNU/Linux, it should just work.   
On Mac OS X, you'll probably need to have run it like this:


/usr/bin/wish filterview.tcl

.hc

On Feb 7, 2011, at 11:20 PM, Mike Moser-Booth wrote:

I don't really know how to test this and I don't really know tcl,  
but I tried looking at the code to see if I could make some sense of  
it anyway, because why the hell not. ;-) Anyway, the only part I  
really understood was the calculation of the coefficients, and I  
noticed something wrong. You are calculating alpha for bandwidth  
instead of Q. I'm guessing you're just borrowing what is in the ggee  
externals (given the code's comments), because it's done the same  
way there, but it's not really conventional for a lowpass filter.  
That's really more for bandpass, notch, and peaking filters. Using Q  
is also a simpler calculation: alpha = sin(omega)/(2*Q). With Q set  
to .7071 (or -3 dBfs), you have a filter with no resonance, which  
makes sense because the cutoff frequency for a lowpass filter is  
defined as the frequency where the response falls be 3 dB. This is  
also how Max's [filtergraph~] works.


It's all defined here in Robert Bristow-Johnson's Cookbook:

http://www.musicdsp.org/files/Audio-EQ-Cookbook.txt

The ggee externals, as far as I can tell, are all based on this  
cookbook, though with mistakes like using BW instead of Q.


Hope that helps,
.mmb

On Mon, Feb 7, 2011 at 10:03 PM, Hans-Christoph Steiner  
h...@at.or.at wrote:


On Feb 7, 2011, at 8:35 PM, Spencer Russell wrote:

On Sun, Feb 6, 2011 at 11:15 PM, Mathieu Bouchard  
ma...@artengine.ca wrote:

On Sun, 6 Feb 2011, Spencer Russell wrote:

[1] gives the magnitude frequency response given the biquad
coefficents, and it linked to from several places around the net. Is
this the sort of thing you're looking for?
[1] http://bit.ly/eFck4j

This link got me directly to :

 USB complete: everything you need to develop custom USB peripherals
 Par Jan Axelson
 Chapitre 12
 Page 364

and nothing else. (??)


Whoops, I meant to send this: http://bit.ly/gUCBu4. Sorry.

Here he's basically just taken the transfer function of a biquad and
made the z = exp(j*w/Fs) as Mike suggested, followed by taking the
magnitude and log-scaling for dB, but he's done the algebraic legwork.
Just note that w (lower-case omega) is 2*pi*f and you should be good
to go. He's also done some trig-substitution for more numerical
precision.

I'm making good progress, but now am getting lost in the filter math  
meeting the pixel math.  Can someone mathy check my math?  Or even  
try it out?



https://github.com/pd-projects/filterview

.hc




 ¡El pueblo unido jamás será vencido!




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Re: [PD] algorithms for drawing filter response curves

2011-02-06 Thread Spencer Russell
[1] gives the magnitude frequency response given the biquad
coefficents, and it linked to from several places around the net. Is
this the sort of thing you're looking for?


[1] http://bit.ly/eFck4j

-s

On Sun, Feb 6, 2011 at 6:12 PM, Hans-Christoph Steiner h...@at.or.at wrote:

 I've started to write a GUI for generating biquad coefficients (something
 like Max/MSP's [filtergraph~]).  I've gotten the GUI interaction working
 well, now I'm looking for the algorithms for generating a plot of the
 frequency response of a given set of biquad coefficents?  It'll end up being
 Tcl, but I can easily read C, Csound, Java, Perl, Python, etc.

 .hc

 

 All mankind is of one author, and is one volume; when one man dies, one
 chapter is not torn out of the book, but translated into a better language;
 and every chapter must be so translated -John Donne



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Re: [PD] algorithms for drawing filter response curves

2011-02-06 Thread Mathieu Bouchard

On Sun, 6 Feb 2011, Spencer Russell wrote:


[1] gives the magnitude frequency response given the biquad
coefficents, and it linked to from several places around the net. Is
this the sort of thing you're looking for?
[1] http://bit.ly/eFck4j


This link got me directly to :

  USB complete: everything you need to develop custom USB peripherals
  Par Jan Axelson
  Chapitre 12
  Page 364

and nothing else. (??)

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Re: [PD] algorithms for drawing filter response curves

2011-02-06 Thread Mathieu Bouchard

On Sun, 6 Feb 2011, Hans-Christoph Steiner wrote:

I've started to write a GUI for generating biquad coefficients 
(something like Max/MSP's [filtergraph~]).  I've gotten the GUI 
interaction working well, now I'm looking for the algorithms for 
generating a plot of the frequency response of a given set of biquad 
coefficents?  It'll end up being Tcl, but I can easily read C, Csound, 
Java, Perl, Python, etc.


I made a rather simple patch that measures the frequency response of any 
linear filter of your choice (convolution, lop, hip, bp, biquad, etc.) by 
using FFT. I demonstrated it at Pd Convention 2007.


  http://gridflow.ca/gallery/operator_spectrum.png

except it only works for image filters, not sound.

It plots an image filter's spectrum like a topographic map for all 
combinations of horiz-frequencies and vert-frequencies at once. (however, 
it assumes that the effect is wrap-around, just like a FFT is wrap-around)


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Re: [PD] algorithms for drawing filter response curves

2011-02-06 Thread Mike Moser-Booth
I don't know if this is what you're asking, but iirc it's really just
a matter of substituting exp(j*2*pi*fc/Fs) for z in the transfer
function. I can send a Pd patch illustrating it later, if you like.

.mmb

On Sunday, February 6, 2011, Hans-Christoph Steiner h...@at.or.at wrote:

 I've started to write a GUI for generating biquad coefficients (something 
 like Max/MSP's [filtergraph~]).  I've gotten the GUI interaction working 
 well, now I'm looking for the algorithms for generating a plot of the 
 frequency response of a given set of biquad coefficents?  It'll end up being 
 Tcl, but I can easily read C, Csound, Java, Perl, Python, etc.

 .hc

 

 All mankind is of one author, and is one volume; when one man dies, one 
 chapter is not torn out of the book, but translated into a better language; 
 and every chapter must be so translated -John Donne



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Mike Moser-Booth
mmoserbo...@gmail.com

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Re: [PD] algorithms for drawing filter response curves

2011-02-06 Thread Mike Moser-Booth
Sorry, sent that a little too quickly. I should've also mentioned that
fc=cutoff frequency and Fs=sample rate. And the magnitude of the
result will give the magnitude frequency response and the angle will
give the phase response.

.mmb

On Monday, February 7, 2011, Mike Moser-Booth mmoserbo...@gmail.com wrote:
 I don't know if this is what you're asking, but iirc it's really just
 a matter of substituting exp(j*2*pi*fc/Fs) for z in the transfer
 function. I can send a Pd patch illustrating it later, if you like.

 .mmb

 On Sunday, February 6, 2011, Hans-Christoph Steiner h...@at.or.at wrote:

 I've started to write a GUI for generating biquad coefficients (something 
 like Max/MSP's [filtergraph~]).  I've gotten the GUI interaction working 
 well, now I'm looking for the algorithms for generating a plot of the 
 frequency response of a given set of biquad coefficents?  It'll end up being 
 Tcl, but I can easily read C, Csound, Java, Perl, Python, etc.

 .hc

 

 All mankind is of one author, and is one volume; when one man dies, one 
 chapter is not torn out of the book, but translated into a better language; 
 and every chapter must be so translated -John Donne



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 Mike Moser-Booth
 mmoserbo...@gmail.com


-- 
Mike Moser-Booth
mmoserbo...@gmail.com

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