[SI-LIST] Re: Electrical length

  • From: "ariazi" <ariazi@xxxxxxxxxxxxxxx>
  • To: si-list@xxxxxxxxxxxxx
  • Date: Fri, 23 Sep 2005 12:19:18 -0700


> Is electrical length of a line related to its wavelength and rise time
> both ?


Yes,

Any parameter which is related to the signal rise time Tr can be shown =
to be
related to signal wavelength, based on following relations:

 Signal rise time is 5 to 20 percent (or ~ 10%)of clock period T  (where =
T
is reciprocal of frequency F)

Then:

 Tr =3D 0.1 * T=20


 Signal velocity V (which is inverse of signal propagation delay Pd ) is
product of=20
 freqeuncy F and wavelength (Lambda) :

 V =3D F * Lambda  =3D Lambda/T

 As an example, The length of rising edge given on page 6 of Handbook Of
Black Magic is  related to rise time by:

 Length of rising edge =3D Tr/Pd  =3D V * Tr


 It can be shown to be also related to wavelength:


  Length of rising edge =3D (Lambda/T) * Tr  =3D ( Lambda/T ) * 0.1 * T

  Length of rising edge =3D 0.1 * Lambda


 Best Regards,

 Abe Riazi
 ServerWorks

 =20

=20



=20

=20

 =20



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