Steve,

The shorter length stub most likely will give you wider matching
bandwidth... This may be why Motorola spec'd a 1/4λ stub as opposed to a
1/2λ stub, as well as nominally lower costs for the shorter cable length.

Maybe this will help explain my reasoning:
http://www.ittc.ku.edu/~jstiles/723/handouts/Shunt%20Stub%20Tuning.pdf 

Or maybe I misunderstood the question - which happens more often that I like
to admit.  ;-)

Mark - N9WYS

-----Original Message-----
From: [email protected] On Behalf Of steven_schultz92

Hello,

I am new to this group.  A fellow ham recommended I look into this group to
answer a question I have.  I am also interested in amateur radio equipment
design and building so this motivated me to join the group as well.  

My question is related to the design of a diplex low band antenna
installation.  It is described in a Motorola technical publication
68P80100W86-A dated 9/27/85.  This note describes how to connect two low
band antennas (30 to 50 MHz) to a common coax.  A coaxial cable cutting
chart is provided in the note.  The installation is such that a given length
of coax is connected between say a 30 MHz antenna and a "T" connection and
another different given length of coax is connected between say a 50 MHz
antenna the "T" connection.  The third connection of the "T" connection is
connected to the radio with an arbitrary length of coax.

The cutting chart refers to what they call standard RG-58A/U coax.  For a
30MHz and 50MHz antenna installation the chart prescribes a 47 inch length
of coax for feeding the 30 MHz antenna and a 100 inch length of coax for
feeding the 50 MHz antenna.  My ham friend says these are 1/4 wavelengths of
transmission line for the opposite band (100 inch is approx 1/4 at 30 MHz
and 47 inch is approx 1/4 at 50 MHz).

Being an analytical guy I modeled the antenna system in both Ansoft Designer
and an antenna modeling program.  In Ansoft Designer the antennas were
modeled as a series RLC load with 50 ohms at resonance and a Q of 15.
Transmission lines were modeled with VF equal to that of RG-58A/U coax.  In
the antenna modeling program the antennas were modeled as 1/4 verticals with
transmission lines having VF=0, antenna spacing of 1 meter, and perfect
ground (assuming auto metal).  The Motorola note suggests a minimum spacing
of 3 feet between antennas.

My conclusion was that the values in the Motorola cutting chart for 30 MHz
and 50 MHz antenna diplexor are not optimum.  Much better results are
obtained with transmission line lengths corresponding to 1/2 wavelengths.
With 1/2 wavelength transmission line the impedance is repeated.  For 1/4
wavelength verticals the out of band impedance is high and with the in band
impedance being low the total impedance is governed by the in band antenna.

I would like to know what others might know about this 30 MHz and 50 MHz
diplexor made of coax and what is the basis for the cutting values in the
Motorola note.  I tried to find information about this system on the
Repeater Builder site but I could not.

Thank You
Steve Schultz
WB8WGY




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