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High-pass/low-pass
phase shifter spreadsheet
Updated January
20, 2009
Click
here to go to our main page on phase shifters
Click
here to go to our original page on HP/LP phase shifters
The spreadsheet
that is described on this page is available in our download
area, it's called HP_LP_Phase_Shifter101.xls.
New for January
2009! Now we have a tool for taking a quick look at the ideal
frequency response of a high-pass/low-pass phase shifter. This provides
just the ideal responses of the filters, and does not include any
real loss of the filters or the two SPDT switches that are required.
But what did you expect for free?
In the spreadsheet,
we solve for both tee and pi networks so you can have your choice
(ideally they provide the same response). However, we chose to use
the tee network to solve for the frequency responses. The equations
for determining ABCD parameters from a generalized tee network can
be found on this page. Then
it's just a matter of simple algebra to come up with the reduced
equations for the two filters (lots of minus signs to keep track
of, back off on the gin!)
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| Low pass network
and ABCD parameter |
High-pass network
and ABCD parameters |
Now that we did
the heavy lifting, all you need to do is enter the following:
Center frequency
System impedance
Phase shift in the high-pass
arm (at center frequency)
Phase shift in low pass arm
(at center frequency)
Here's the plots you get when
you are analyzing a 10 GHz, 180 degree phase shifter:


The red line is the difference
in phase between the two filters. Sweet!

More to come!
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