Paul Holm wrote:

>I'm wondering how a person can estimate the amount of rejection that would
>be required from a duplexer given the amount of power coming out of the
>associated tx.  I realize that this also is dependent upon the amount of
>sideband noise on the tx and the sensitivity of the rx.  I'm focusing mainly
>on the 2M ham band using Bp/Br type duplexers and MastrII radios.  Are there
>any rules of thumb to determine the minimum amount of rejection required
>when using 'x' amount of power?  Thanks.
>

I'm going to take a slightly different approach to answering your 
question, one that might help others that wonder about the magic numbers 
in general.
Within the text are references to web pages to further help with the 
numbers.  The examples below are strictly general in nature.  Every 
situation is obviously different and the figures below aren't meant to 
be used as concrete testimonial to determine duplexer requirements, but 
they are a good rule of thumb considering a few types of equipment (like 
Hamtronics, GE, and Motorola solid state) that are commonly used in the 
world of building repeaters.

The easiest way to to understand the numbers involved with power level 
(in transmitting) or signal level (in receiving), is to use a common 
reference.  In two way radio, this reference is dBm  -  Decibels 
relative to 1 mW into 50 ohms.  dBm is calculated by using the ratio of 
some power (expressed in mW) to 1 mW. 
For example, 1 mW is 0 dBm, 10 mW is +10 dBm and 100 W is +50 dBm.
For more examples of power levels related to dBm, see  (Ref 1)

For this example, we'll consider a 2M repeater with 100 watts (+50 dBm) 
and a basic sensitivity of .35 uV (-116 dBm) for 12 dB SINAD.
12 dB SINAD is a fairly noisy but very copyable signal level.
For more examples of signal level related to dBm, see (Ref 2)

First, lets talk about the transmitter. 
In general, the transmitter must be fairly clean, not producing unwanted 
spurious, harmonic, or noise emissions on or around the desired 
carrier.  The noise produced beside the carrier is referred to as 
'transmitter sideband noise' or "phase noise".  This noise *can* and 
does fall directly on the receiver frequency.  In repeater type duplex 
operation, if this noise is not reduced in level, the receiver would be 
desensitized.  Obviously, it needs to be reduced below the level in 
which the repeater receiver can hear.  From the specifications of these 
radios, this type of unwanted emissions *generally* fall about 80 to 85 
dBm below the level of the desired carrier frequency [transmitter 
operating frequency].  In the case of our 100 watt (+50 dBm) 
transmitter, these unwanted signals are at -35 dBm.

Next, lets talk about the receiver.
A typical repeater receiver without a preamp will receive a fairly noisy 
but copyable signal at about .35 uV or -116 dBm.  Since the receiver 
will actually open squelch below this point, we must provide isolation 
that will reduce the noise of the transmitter at, or preferably below, 
this open squelch level.  This is referred to as the Minimal Squelch 
Sensitivity.  The minimal squelch sensitivity of a receiver will be 
several dB below the 12 dB SINAD point.  In the case of the very 
sensitive Micor Squelch, this level can approach -130 dBm. 

 From the example numbers we have shown that a 100 watt transmitter will 
produce unwanted noise on the repeater receiver frequency at a level of 
-35 dBm.  It has also been shown that our receiver will open squelch at 
-130 dBm.  The difference must be made up by the duplexer.  In this case 
the duplexer must provide *at least* 95 dB of rejection for zero 
desense.  If the transmitter is better than specification, the minimum 
required level of rejection would be less by the amount better than the 
specification, but one should never design right to the edge.  This part 
of the example is one half of the function necessary for the duplexer to 
provide for. 

The other function of the duplexer is to reduce the shear power of the 
repeater transmitter to a level that won't desense the repeater 
receiver.  In a repeater receiver, unwanted signals must be reduced to a 
level at or below which intermod will occur.  If a strong signal off 
frequency is forced into a receiver, the preamplifier or mixer will be 
overdriven and the result will be desensitization or squeals heard along 
with the desired message.  In a typical receiver, this level is 80 dB 
higher than its rated sensitivity.  In the case of our repeater receiver 
with a sensitivity of -116 dBm, desense or intermod will occur at a 
level of -36 dBm or greater.

 From the example numbers we have shown that a 100 watt (+50 dBm) 
transmitter will need its shear power reduced to a level no greater than 
-36 dBm.  The difference must be made up by the duplexer.  In this case, 
the duplexer must provide *at least* 86 dB of rejection for no desense.  
If the receiver hears better than the specified receiver in this example 
(like by adding a preamp) one must afford additional rejection to insure 
the repeater will operate with no desense.

To summarize, a *typical* 100 watt 2M repeater with a decent receiver 
will require a duplexer providing at least 95 dB of transmitter 
side-band noise rejection and at least 86 dB of shear power rejection to 
properly duplex.  It should be noted that a well tuned and maintained 
transmitter will typically exhibit slightly better than the 
manufacturers specifications where sideband noise level is concerned.  A 
typical tube type transmitter or power amplifier will exhibit much less 
transmitter sideband noise than it solid state counterpart, and will 
usually require less transmitter side-band noise rejection from the 
duplexer.  A GE Mastr II PLL exciter will produce about 20 dB less 
transmitter side-band noise than it multiplier counterpart, so it 
requires at least 20 dB less transmitter sideband noise rejection from 
the duplexer. (Ref 3)
 From this you can also see why there are duplexers made for certain 
applications that don't provide the same amount of rejection on each 
side, and care must be taken to apply these types of duplexer in other 
applications.

Ref 1  -  <http://www.minicircuits.com/dg03-110.pdf>
Ref 2  -  <http://www.repeater-builder.com/pdf/dbm-to-microvolts.pdf>
Ref 3  -  <http://www.ka9fur.net/geduplex/duplex.html>

Hope this helps...
Comments welcome, reply to the list.
Kevin Custer  W3KKC





 
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