Bruce,

The last sentence of your message says it all, and I completely agree that a
Z-matcher is the way to go.  The original posting was a request for a simple
formula to determine in advance how long the jumpers should be to achieve
optimum performance.  I think we both agree that there are too many
variables to have a simple formula.

While the receive-side jumper may work well at any random jumper length, the
transmit-side jumper is a different matter.  I think we agree that the
TX-to-duplexer jumper can be optimized, and many installers do take the time
to try several different cable lengths.  One installer I know takes a box of
a few dozen RG-400 cables to each new install, each cable being cut and
connectorized at 1/2-inch intervals from about 18" to about 40".  He will
keep trying cables until he finds the optimum length.  This is just too much
work for me!  All of those N connectors and the cables aren't cheap, either.

Regarding the tuning, I always use a network analyzer to tune a duplexer,
and I know that it is optimized for a 50-ohm source and load.  The PA is
another matter, and it seldom provides a 50 ohm match to the duplexer.
That's where a Z-matcher is a valuable tool, but- as can be seen by several
dissenting posts- not everyone thinks it is necessary!

73, Eric Lemmon WB6FLY


-----Original Message-----
From: [email protected]
[mailto:[EMAIL PROTECTED] On Behalf Of [EMAIL PROTECTED]
Sent: Friday, June 29, 2007 2:20 PM
To: [email protected]
Subject: Re: [Repeater-Builder] Cable formula

Eric
 
I don't think the cable cares whether the source and load impedances are 50
ohms
resistive. I think the cable is indifferent to whether the load and source
values are
resistive or whether they present a complex impedance involving   +/- J. as
long as the
composite value looks like 50 ohms.
 
The conventional wisdom generally expressed is that as long as the cavities
are properly
tuned, that the interconnect length from the TX is immaterial. I question
that:
 
Properly tuned? When what's properly tuned and for what parameter?  Is the
pass section of the cavity(s)
being tuned for maximum output or is it tuned for minimum reflection back to
the TX source?
Only if the TX output impedance exactly matches the cavity impedance and the
impedance of the interconnecting cable will the cavity tuning point be the
same for either parameter. To assume that the
TX output impedance is 50 ohms is optimistic and as you point out, altering
the power level of the
TX can affect TX output Z,  the amount dependant on what TX stages are used
to control TX output.
 
Considering how nit-picky forum members are about designing and building
their systems,
(and I mean that in the best sense of the word), it seems inconsistent to be
indifferent to
how the duplexers might be affected by inserting what is potentially a
radical impedance
transformer between the TX and the cavities. In the absence of any way to
measure any
source and load mismatch, using a 1/2 wave (or half wave repeating) cable
length will at
least keep any existing mismatch status quo. It won't improve the match but
at least it won't
increase a mismatch because the 1/2 wave length simply repeats the TX output
Z and does
not act as a line transformer. But as the cable length departs from a 1/2
wave and approaches
a 1/4 wave, the game changes and a 1/4 wave interconnect between a
mismatched source
and load can produce some eye opening shifts in the impedance reflected to
the load and
back to the source. On the other hand, some source and load mismatches can
actually be
improved by using the interconnect as a line transformer.
 
I spent a lot of hours fiddling around with line stretchers and cut and try
cable lengths to
determine an optimum length for cables but gave it up in favor of a
Z-Matcher which will
compensate for any inherent TX mismatch or a shift in power output.
 
Bruce K7IJ


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