+ Post New Thread
Results 1 to 7 of 7

29th July 2019, 09:50 #1
 Join Date
 Feb 2016
 Posts
 675
 Helped
 1 / 1
 Points
 3,486
 Level
 13
Microstrip High and LowImpedance ShortLine Sections
Expression 4.50 can be obtained by equating the ABCD parameters of the two circuits ?
Could anyone advise ?
Note: Screenshots below are taken from Microstrip Filters for RF Microwave Applications, 2nd Edition

Advertisement

29th July 2019, 11:02 #2

Advertisement

30th July 2019, 04:11 #3
 Join Date
 Feb 2016
 Posts
 675
 Helped
 1 / 1
 Points
 3,486
 Level
 13
Re: Microstrip High and LowImpedance ShortLine Sections
I am still trying to derive the ABCD matrix for the following circuit configuration.
Any help ?

Advertisement

31st July 2019, 08:34 #4
 Join Date
 Feb 2016
 Posts
 675
 Helped
 1 / 1
 Points
 3,486
 Level
 13
Re: Microstrip High and LowImpedance ShortLine Sections
The derivation process could be found at page 25 of the pdf attachment
Now the question is how to derive expression 4.50 given the above ABCD matrix ?
Microwave_Network_Parameter.pdf

4th August 2019, 10:22 #5
 Join Date
 Oct 2006
 Location
 Real Homeless
 Posts
 2,612
 Helped
 701 / 701
 Points
 16,998
 Level
 31
Re: Microstrip High and LowImpedance ShortLine Sections
There is no help since it is too easy.
Can you understand following even a liittle ?
https://www.edaboard.com/showthread....ight=Bode+fano
This is very easy than the above, if you can understand the above even a little.

Advertisement

14th August 2019, 09:08 #6
 Join Date
 Feb 2016
 Posts
 675
 Helped
 1 / 1
 Points
 3,486
 Level
 13
Re: Microstrip High and LowImpedance ShortLine Sections
The following is the derivation process for expression 4.50
ABCD matrix for transmission line at Figure 4.7(a)
ABCD matrix for πcircuit network at Figure 4.7(b)
Comparing the two ABCD matrices above gives :
Applying trigonometry double angle formula :

17th August 2019, 16:45 #7
 Join Date
 Feb 2016
 Posts
 675
 Helped
 1 / 1
 Points
 3,486
 Level
 13
Re: Microstrip High and LowImpedance ShortLine Sections
There is a typo mistake for ABCD matrix for πcircuit network at Figure 4.7(b)
Please see the correction below:
Ok, now to more detailed part:
How to derive expressions (5.3) ?
I suppose that this involves eliminating the assumption : Z_{C} << Z_{0} << Z_{L}
Note: In the post above, I have derived expression (5.2) for inductor, which is equivalent to expression (4.50)
+ Post New Thread
Please login