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Hi,

I've "inherited" the following filter:

	Yn = Yn-1 + C(Xn-Xn-1)^2 - C(Xn-Xn-1)(Yn-1)
	Where
		Yi are outputs
		Xi are inputs
		C is a constant
The filter performs a smoothing function.  Does anyone recognize the 
form of this filter?
What type is it?  Any good reference material on this filter?

Thanks,
Jon
	

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I don't think it is a filter, cause it isn't linear with the
(Xn-Xn-1)^2 build in.

> Hi,
> 
> I've "inherited" the following filter:
> 
>        Yn = Yn-1 + C(Xn-Xn-1)^2 - C(Xn-Xn-1)(Yn-1)
>        Where
>                Yi are outputs
>                Xi are inputs
>                C is a constant
> The filter performs a smoothing function.  Does anyone recognize the
> form of this filter?
> What type is it?  Any good reference material on this filter?
> 
> Thanks,
> Jon
	

(You need to be a member of audiodsp -- send a blank email to audiodsp-subscribe@yahoogroups.com )

I don't think it is a filter, cause it isn't linear with the
(Xn-Xn-1)^2 build in.

> Hi,
>
> I've "inherited" the following filter:
>
>        Yn = Yn-1 + C(Xn-Xn-1)^2 - C(Xn-Xn-1)(Yn-1)
>        Where
>                ; Yi are outputs
>                ; Xi are inputs
>                ; C is a constant
> The filter performs a smoothing function.  Does anyone recognize the
> form of this filter?
> What type is it?  Any good reference material on this filter?
>
> Thanks,
> Jon


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-----Original Message-----
From: Egler, Mark
Sent: Friday, January 14, 2005 10:10 AM
To: 'Wei Li'; 'a...@yahoogroups.com'
Subject: RE: [audiodsp] Unknown Filter Type

It's not linear, true. But I think it is a form of 2nd-order Volterra filter. Look it up and see if I'm right (I could be mistaken).

 

Mark

 -----Original Message-----
From: Wei Li [mailto:l...@gmail.com]
Sent: Friday, January 14, 2005 9:54 AM
To: a...@yahoogroups.com
Subject: Re: [audiodsp] Unknown Filter Type

I don't think it is a filter, cause it isn't linear with the
(Xn-Xn-1)^2 build in.

> Hi,
>
> I've "inherited" the following filter:
>
>        Yn = Yn-1 + C(Xn-Xn-1)^2 - C(Xn-Xn-1)(Yn-1)
>        Where
>                ; Yi are outputs
>                ; Xi are inputs
>                ; C is a constant
> The filter performs a smoothing function.  Does anyone recognize the
> form of this filter?
> What type is it?  Any good reference material on this filter?
>
> Thanks,
> Jon


NEW!  You can now post a message or access and search the archives of this group on DSPRelated.com:
http://www.dsprelated.com/groups/audiodsp/1.php

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NEW!  You can now post a message or access and search the archives of this group on DSPRelated.com:
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**************************************************************** The information transmitted in this message is confidential and may be privileged. Any review, retransmission, dissemination, or other use of this information by persons or entities other than the intended recipient is prohibited. If you are not the intended recipient, please notify Analogic Corporation immediately - by replying to this message or by sending an email to D...@analogic.com - and destroy all copies of this information, including attachments, if any, without reading or disclosing them. Thank you.

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From: "larkjon" <jon.lark@jon....>

> I've "inherited" the following filter:
>
> Yn = Yn-1 + C(Xn-Xn-1)^2 - C(Xn-Xn-1)(Yn-1)
> Where
> Yi are outputs
> Xi are inputs
> C is a constant
> The filter performs a smoothing function.  Does
> anyone recognize the form of this filter?
> What type is it?  Any good reference material on this filter?

It reminds me of the recursive nonlinear filter described in the
paper "Experiments with non-linear filters" by Richard Dobson &
John Ffitch, Proceedings of the ICMC 1996. That one has the form
Y[n] = a Y[n-1] + b Y[n-2] + d Y[n-L]^2 + X[n] - C,
which is of course not quite the same. Also, I haven't read the
paper myself, so I can't say if it would be useful to you to
check it out. Maybe ask Richard about yours or post to the
music-dsp mailing list, which he reads.
	Martin
	

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