[SI-LIST] Re: Causality Condition -why real and imaginary part of a Frequency response of causal system need to be even and odd respectively
- From: <colin_warwick@xxxxxxxxxxx>
- To: <piyush.nithmr@xxxxxxxxx>, <si-list@xxxxxxxxxxxxx>
- Date: Thu, 23 May 2013 11:13:58 -0600
Hi Piyush,
Sorry I'm late to the party here, but maybe our white papers on this topic
mentioned in my blog posting will help?
http://signal-integrity.tm.agilent.com/2009/kramers-kronig-in-pictures/
-- Colin
-----Original Message-----
From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx] On
Behalf Of piyush bhatt
Sent: Saturday, May 18, 2013 6:47 AM
To: si-list@xxxxxxxxxxxxx
Subject: [SI-LIST] Causality Condition -why real and imaginary part of a
Frequency response of causal system need to be even and odd respectively
Hi All
An LTI system is causal if and only if h(t)=0 for t<0.
As derivation goes h(t)=h(t)sgn(t).Taking Freq transform both side and doing
some manipulations.We get to point that H(jw) = Hilbert transform of itself.
Then they say we can divide H(jw) into real and imaginary part.And real part
will be even function and imaginary part will be odd function.
Can you tell me why real part will be even function and imaginary part will be
odd function?
regards
Piyush
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