[SI-LIST] Re: Kramers-Kronig in Pictures
- From: <colin_warwick@xxxxxxxxxxx>
- To: <si-list@xxxxxxxxxxxxx>
- Date: Mon, 25 Jan 2010 08:13:28 -0700
Hi,
Fangyi Rao and I have published an article on EE Times' RF Designline about the
creation of delay-causal and passive time-domain models from bandlimited and
noisy s-parameters:
http://www.rfdesignline.com/howto/222400306
The method makes use of the Kramers-Kronig relationship mentioned below.
Best regards,
-- Colin Warwick
Signal Integrity Product Marketing Manager, Agilent EEsof EDA
-----Original Message-----
From: WARWICK,COLIN (A-Americas,ex1)
Sent: Thursday, December 10, 2009 10:09 PM
To: si-list@xxxxxxxxxxxxx
Subject: Kramers-Kronig in Pictures
Hi,
Thanks to Eric Bogatin for pointing out a neat proof of the Kramers-Kronig
relation in his excellent book review:
http://bethesignal.net/blog/?p=63
...of Hall and Heck's excellent book.
After some reading and doodling, a little light bulb lit up, and the result was
my latest blog posting "Kramers-Kronig in Pictures" here:
http://signal-integrity.tm.agilent.com/2009/kramers-kronig-in-pictures/
The Kramers-Kronig relation is very useful in SI because it enables you to
determine time-domain causality (or lack thereof) of a frequency domain model
(e.g. s-parameters) before you attempt to move it into the time domain. IMHO,
it's worth getting to know.
Hth
-- Colin Warwick
Signal Integrity Product Marketing Manager, Agilent EEsof EDA
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