Dear Rolf, dear All

several years ago I had the same idea and solved it by using a modified
Butterworth design (analog)  and a Frequency Domain Least Squares (FDLS)
Design for the final digital filter. (Never published it.)

I just finished my first blog-post about it. (This question was a good
motivation to finally start my blog and to start with Python. Thank you
for that.).

https://dspblog.audio-dsp.de/

A Jupyter Notebook to play around with the method in Python is provided.

BTW: It also solves the problem of the bilinear transformation
distortions near Nyquist. You pay with computational complexity.

Best regards

Joerg





Am 29/06/2018 um 18:06 schrieb rolfsassin...@web.de:
> Hello Robert
> thanks, so this means that it will come out with a cascade anyway. Would'nt 
> it 
> then be generally better to put filters in series or use parallel band width 
> limited filters though?
> Regards Rolf
> *Gesendet:* Mittwoch, 27. Juni 2018 um 16:49 Uhr
> *Von:* "robert bristow-johnson" <r...@audioimagination.com>
> *An:* music-dsp@music.columbia.edu
> *Betreff:* Re: [music-dsp] EQ-building with fine adjustable steepness
> So with a one-pole LPF with its corner frequency set very low, you wI'll get 
> a 
> -6 sB slope, which is twice the slope that you desire for pink noise.if you 
> follow that with a zero, the slope will bend back to zero slope.
> So repeating and alternating poles and zeros, will get you a slope somewhere 
> between 0 and -6 dB per octave. If you start with a pole on the left and 
> follow 
> it shortly with a zero, it will be closer to zero.  If you have more space 
> between the pole and zero frequency, then the slope is higher.
> 
> 
> 
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