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Analog filter - zero and transmission zero


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edafisher



Joined: 25 Dec 2004
Posts: 16


Post17 Jul 2009 22:36   

transmission zero


Hi all,
for analog filter, what does transmission zero mean? and what is difference between zero and transmission zero?
Thanks!
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flatulent



Joined: 19 Jul 2002
Posts: 4877
Helped: 324
Location: Middle Earth


Post17 Jul 2009 22:48   

Re: transmission zero


Unless stated otherwise, zero means transmission zero. With other modifiers it can mean impedance zero (short circuit to ground at a particular frequency).
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LvW



Joined: 07 May 2008
Posts: 1466
Helped: 242
Location: Germany


Post18 Jul 2009 10:03   

Re: transmission zero


flatulent wrote:
Unless stated otherwise, zero means transmission zero. With other modifiers it can mean impedance zero (short circuit to ground at a particular frequency).


Sorry, I donīt think so.

1.) "Transmission zero" means that there is a real zero with ideally zero volts at the output - for example like a notch or a low pass with Chebyshev/invers approximation.

2.) "Zero" means (in most cases, if not stated otherwise) that there is a complex zero - like in allpass cicuits. As a consequence the output of the filter goes NOT down to zero volts.

Added after 47 minutes:

Supplement for clarification:
By using the phrase "zero" always a zero of the transfer function is ment.
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Post18 Jul 2009 10:03   

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spree2007



Joined: 28 Oct 2008
Posts: 1


Post18 Jul 2009 17:03   

Re: transmission zero


as I know

Transmission zero is the zero placed in the "stopband" of filter

it can improve the selectivity at the expense of stopband attenuation
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edafisher



Joined: 25 Dec 2004
Posts: 16


Post19 Jul 2009 0:58   

Re: transmission zero


LvW wrote:
flatulent wrote:
Unless stated otherwise, zero means transmission zero. With other modifiers it can mean impedance zero (short circuit to ground at a particular frequency).


Sorry, I donīt think so.

1.) "Transmission zero" means that there is a real zero with ideally zero volts at the output - for example like a notch or a low pass with Chebyshev/invers approximation.

2.) "Zero" means (in most cases, if not stated otherwise) that there is a complex zero - like in allpass cicuits. As a consequence the output of the filter goes NOT down to zero volts.

Added after 47 minutes:

Supplement for clarification:
By using the phrase "zero" always a zero of the transfer function is ment.


i agree with you more, to make it clearer:

in case 1 you mean the zeros in jw axis, thus we get infinite attenuation.
in case 2 you mean the zeros those are NOT in jw axis, we get finite attenuation.
this is because the zeros of H(s) are zeros of H(jw) only when they are in jw axis (s=jw).

so i think when talking about "transmission zero", usually it means case 1, namely the zeros in jw axis.
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LvW



Joined: 07 May 2008
Posts: 1466
Helped: 242
Location: Germany


Post19 Jul 2009 9:37   

Re: transmission zero


Hi edafisher,

thank you for clarification as I have expressed myself a bit misleading in my reply to flatulent.
When I say "real zero", of course I donīt mean a zero on the real axis but instead a "realistic" zero of the output voltage at a certain frequency. And this means as correctly stated by you: In the complex plane the zero is placed on the Im-axis.
Thak you, regards. LvW
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