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G8MNY  > TECH     13.12.18 09:17l 323 Lines 15624 Bytes #999 (0) @ WW
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Subj: Coax Traps
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From: G8MNY@GB7CIP.#32.GBR.EURO
To  : TECH@WW

By G8MNY                                  (Updated Nov 08)
(8 Bit ASCII graphics use code page 437 or 850, Terminal Font)

To make a coax trap to reject a frequency you basically just T any piece of low
loss coax with electrical length equal to a 1/4 wave for the notch frequency
needed, across the aerial feeder/socket.

 Aerial            "Teed"
  \³/     feeder    notch     Rx
   ĄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄĀÄÄÄÄÄÄÄŁ
                      ³
                  Open coax

Leaving the teed coax "open" a 1/4 wave back from that where the T is you get
the opposite impedance "a short circuit", & it this that gives the attention
across the feeder. So the lower loss in the trap coax the deeper the notch.

To determine the physical length the coax velocity factor is needed (how much
shorter than an actual 1/4 wave the coax has to be). e.g. 0.66 for clear
poly & 0.78 for air spaced & foamed (white) poly.

Cutting the length too long & trimming it shorter at the lower frequency
e.g. 144MHz not 145MHz to start with, so you know the depth of the notch then
trim on frequency until the signals attenuates at the wanted frequency.

  Starting point            Done             Overdone start again!
 ³---.   .----         ³----.   .---           ³-----.   .---
 ³    \ /Too           ³     \ /Just           ³      \ /Too
 ³     V Long          ³      V Right          ³       V Short
 ĄÄÄÄÄÄÄĀÄÄÄÄÄ         ĄÄÄÄÄÄÄĀÄÄÄÄÄÄ          ĄÄÄÄÄÄÄĀÄÄÄÄÄÄ
       145                   145                     145

This is more difficult if the trap is for say a 158MHz pager Tx to a 2m Rx,
than say 145MHz to VHF Rx, unless you have signal generator & a Rx for the
frequency (scanner). See multiple resonance below.

Using a 1/4 wave coax stub on 144MHz also works on 3x @ 432MHz, but unwanted
notch @ 5x 720MHz. This may not be what is wanted for a UHF TV Rx !!
 Loss
  0dB³Ä-._     _.-ÄÄÄ-._     _.--ÄÄ--._   _.--ÄÄÄ--._   _.--
     ³    \   /         \   /          \ /           \ /
-10dB³     | |           | |            V             '
     ³     Ž Ż            V
-20dB³      V             
     ĄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ>Frequency
            1      2      3      4      5      6      7     1/4 Waves
           144           432           720           1008   MHz
 
Of course leaving a teed piece of coax across a Tx feeder would upset the SWR!

MULTIPLE RESONANCE TX TRAPS
On a 2 Tx site use can be made of this multiple notch, to stop PA inter mixing
instead of circulators, if the 2 Tx are a fair frequency apart. The open
circuit coax length needs to be approx a 1/4 wave at the difference frequency &
an even number of 1/2 waves at each Tx. Or say a 400W pager Tx on 158MHz &
144MHz nearby ham with Rx QRM, coax of about 0.66x 1/4 @ 14MHz = 3.5m long cut
back to 3.446m for reject & 3.4m pass.
                                                           Tx    QRM
³-._     _.-Ä-._     _.-Ä-._     _.-Ä-._     _.-Ä-._     _.-Ä-._     _.-Ä
³   \   /       \   /       \   /       \   /       \   /       \   /
³    | |         | |         | |         | |         | |         | |
³    Ž Ż         Ž Ż         Ž Ż         Ž Ż         Ž Ż         Ž Ż
³     V           V           Y           Y           Y           Y
ĄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ>1/4
      1     2     3     4     5     6     7     8     9     10    11   Waves
      14                                                   144   158    MHz

With heavy low loss coax this approach can give a QRO trap that is open circuit
on the Tx frequency, but 20dB down on a nearby QRM frequency. To set up the
coax is just TEED to the Tx line with a Rx looking at the QRM instead of the
Tx then the line is trimmed to null out the QRM. On Tx of the line is still
near a 1/2 wave line resonance so on Tx the SWR will still be 1:1.

See also my bul "VHF/UHF TVI Filter" & also "HF Rx Suckout Trap".

DC SHORT & HARMONIC ATTENUATING
However using a short circuit 1/4 wave Teed in a Tx/Rx for its frequency, will
attenuate all even harmonics & protect from static. The shorted line is seen as
open circuit a 1/4 wave away at the T point so has no affect on SWR.

 Loss
  0dB³     .-Ä-.       _.-Ä-._      _.--ÄÄ--._   _.--ÄÄ--._    _.--
     ³   .'     `\   /'       '\   /          \ /          '\ / 
-10dB³  /         | |           | |            V             '
     ³ /           V             '
-20dB³/
     ĄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ>Frequency
     DC     1      2      3      4      5      6      7      8   Harmonics

Feedback from Pete G6KUI...
I've used co-ax traps for many many years, both on RX and TX.
A couple of points.
You really need to use solid dialectric co-ax. If you use semi-air-spaced you
will find the electrical quarter wave will vary as you bend the co-ax stub &
hence the notch frequency will shift as you bend it.

When I was very active on 70cm ATV, I had to manufacture a whole pile of the
stubs for my neighbours TVs. The quarter wave stub plus a patch length of coax
were squeezed into one belling-lee(plug) & a belling-lee(socket) on the free
end of patch length. Final trimming of the stub done in the shack after
assembly. This way the fitting to neighbours TVs was a very simple & quick
operation. A very cheap solution to the problems in those days.

On the TX side of things (2M) - I fitted a shorted stub to my 2M linear,
it got rid of a horrible 2nd harmonic that the linear was producing.


Why don't U send an interesting bul?

73 De John SB TECH @ WW
Coded Orthogonal Freq Div Mux
By G8MNY                                 (Updated Nov 08)
(8 Bit ASCII graphics use code page 437 or 850, Terminal Font)

Not knowing too much about it personally, here is some technical thoughts on
transmitting this mode as I see it.

This Transmission mode is used for broadcasting e.g. DAB (1536 carriers) DRM &
DTV-B Freeview TV (1707 or 6817 carriers now, incompatible 8k after 2013?)

It uses multiple carriers all phase modulated e.g. Quadrature Phase Shift
Keying.

 ³ ³ ³ ³ ³ ³ ³ ³        QPSK      90ų            /\     /\     /\
 ³ ³ ³ ³ ³ ³ ³ ³       on each 0ųÄÅÄ180ų        |  |   |  |   |  |
ÄĮÄĮÄĮÄĮÄĮÄĮÄĮÄĮÄ>F    carrier   270ų        \ /    \ /    \ /
Even carrier spacing           Vectors      ÄÄĮÄÄÄÄÄÄĮÄÄÄÄÄÄĮÄÄÄÄÄÄ
                                        Each carrier sidebands nearly touch
                                         dependent on symbol rate (baud)

How electrically efficient is this mode? We know it is the best mode for
bandwidth use, as it can use all the channel space right up to the edge
compared to the less information/bandwidth efficiency of a single carrier QPSK
mode such as Digital Sat.
          _
        /~ ~\             |~~~~~~~~~~~~~|
       |     |            ³    COFDM    ³
   _.-" QPSK  "-._        ³   CARRIERS  ³
ÄÄÅÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÅÄ    ÄÄÅÄÄÄÄÄÄÄÄÄÄÄÄÄÅÄ
  Mux Channel Width      Mux Channel Width
     e.g. 30MHz              e.g. 8MHz

But there are problems, as any hams using PSK31 with just 2 carriers will tell
you. The PA linearity is far more important than for speech amplitude modes let
alone FM.

POWER OF 2 CARRIERS (e.g. PSK31)
With a PA say capable of 100W RMS/PEP that is 200W RF crest power, then one
would intuitively think it could handle 2 carriers of 50W, but it CANNOT...

CREST           CREST V    CREST           CREST V    CREST           CREST V
POWER            @ 50ź     POWER            @ 50ź     POWER            @ 50ź
200 “    ..-..    Ć 100    200 “             Ć 100    200 “             Ć 100
100 “ .-~     ~-. Ć 70     100 “    ..-..    Ć 70     100 “             Ć 70
 50 “/ 100W PEP  \Ć 50      50 “ .-~     ~-. Ć 50      50 “    ..-..    Ć 50
 25 “  100W RMS   Ć 35      25 “/  50W PEP  \Ć 35      25 “ .-~     ~-. Ć 35
 12 “             Ć 25      12 “   50W RMS   Ć 25      12 “/  25W PEP  \Ć 25
  6 “             Ć 17       6 “             Ć 17       6 “   25W RMS   Ć 17

As you can see from the above a 100W carrier has a crest of 200W & a peak volt
of 100V in 50ź. These are say the Max PA limits in my example.

Now consider the 50W carrier, it peaks 70V & to add another 50W carrier will
need another 70V, for both you need 140V, but that is more than this PA can do.
Only 2x 25W can be fitted in, that is 50V + 50V is OK. e.g. 50W mean 100W PEP.

Note that with two 25W carriers a typical meter will read something between
50W & 100W due to the slow detector time constants. A true RMS meter (heating
effect type) will read 50W, & a proper peak reading meter 100W (scope display).

MORE CARRIERS
With 4 equal carriers, the maximum power is again quartered to 6.5W each, or
25W mean, but still 100W PEP (200W crest) is needed to handle the in phase
peaks of the 4 carriers.

  ÄÄÄ“     Ā    ĆÄÄÄ     ³  /³\
   Ā       ³             Į   |
   ³            `\       ³   |
    _    ĆÄÄÄ     `-     Į  100V
   /'             ³      ³   |
  '      ĆÄÄÄ     Į      Į   |    _
   ĆÄÄÄ    ³      Ā      ³   ³   25V
           Į      ³      Į  \|/   -
  42V     50V    17V   100V Peak
  17W     25W    2.5W  100W PEP
The carriers can be at any phase angle, on 4 different frequencies & quadrature
phase angle modulated, but at some time the vectors will all add up in phase.

So it can be seen that ten 10V peak carriers can be used on this amp of 100V
max. e.g. 10x 1W or 10W mean. (a 10V Peak carrier in 50ź is 1W)

>From this the mean power must go down by the number of carriers, & each carrier
power must go down by that number squared.

                PA MAX PEP                                    PA MAX PEP
 MEAN POWER = --------------       And each CARRIER POWER =  -------------- 2
              No of CARRIERS                                (No of Carriers)

BROADCAST
For DAB for example with 1536 carriers, means a 1kW amp could only do 651mW
mean power, but still peaking 1kW PEP, & each carrier would only have a power
420uW, YES MICRO WATTS for no clipping!

For DTV with 6817 carriers spread over 8MHz, a 33kW PEP amp could only do 4.85W
mean power, & each carrier would be 710uW, but still 33kW PEP when all the
carriers occasionally are in phase! This may only be for the odd RF half cycle,
but distortion will occur if these levels are exceeded!

So a very large Tx aerial gain & large PA are need to get this Tx mode to give
a respectable ERP.

This actually is a similar case to the old telecomms "SSB coax systems" where
1000s of phone channels were put down one amplified coax. Again large amps were
needed & AGC systems to protect them from peak overdrive, as more phone calls
were made, a reduced signal to noise occurred on each channel.

SPECTRUM GROWTH
With PA mixing due to non linearity the intermodulation product just GROW the
spectrum like this with an amp run to the 1dB (10%) compression point..

                                 |~~~~~~~~~~~~|
                                 ³   COFDM    ³
                        -20dB?   ³  CARRIERS  ³   -20dB?
                    ŚÄÄÄÄÄÄÄÄÄÄÄÄÅÄÄÄÄÄÄÄÄÄÄÄÄÅÄÄÄÄÄÄÄÄÄÄÄÄæ
          -45dB?    ³ 2nd order  ³ in channel ³  2nd order ³  -45dB?
        ____________³  product   ³ distortion ³   product  ³___________
ÄÄÄÄÄÄÄÅÄÄÄÄÄÄÄÄÄÄÄÄÅÄÄÄÄÄÄÄÄÄÄÄÄÅÄÄÄÄÄÄÄÄÄÄÄÄÅÄÄÄÄÄÄÄÄÄÄÄÄÅÄÄÄÄÄÄÄÄÄÄÄÅÄÄ
>-70dB?   2 Channels    Adjacent      Channel                           >-70dB?
          away QRM     channel QRM    e.g.8MHz

It is very difficult to run a high power RF amplifier efficiently & very
linearly at the same time!

I have been told the broadcast PAs are not run at a linear drive level at all,
but driven until the spectrum growth/data error rate due to peaks hard
clipping is troublesome! E.g. as the drive level is increased, 1st the out of
channel mix products increase (2nd 3rd 4th etc.) then eventually there is
enough inband mix products to cause the Rx bit error rate to go up.

RF FILTERING
Of course added RF filters either in PA stage or after a broadband PA, may
reduce the apparent growth, but will not affect unwanted in channel distortion
sidebands present in the passband from causing errors.

³       /~~"-"~"-"~~\
³      |             |
³     |               |
³    |                 |
³ _./                   \._
ÅÄÄÄÄÄÄÄÄĀÄÄÄÄÄÄÄÄÄĀÄÄÄÄÄÄÄÄĀÄ
            8MHz

With COFDM linear phase or amplitude flatness of the filter is not too
important (this why it is fairly immune to signal path ghosts), as long as each
or most carriers can be decoded in their own narrow bandwidth, all is OK.

However signal to noise is important, especially from its own cross modulation
QRM. RF channel filtering only cleans up adjacent channel mixing products, not
in channel products.

Added losses & possible filter flash over must be a problem with peak powers
1000s of times greater than the mean if this approach is used.

AVOIDING IN PHASE
Because there is a serious PA overload problem if all or even most of the
carries add up in phase, the coder software may be designed to alter/restrict
the data that could cause this, but data options & data bandwidth loss or a
time overhead will result if the method is used.

PA EFFICIENCY
It should be clear that amplifying all the carriers in 1 PA is not a wise way
of going about multiple carrier transmission if there is to be no clipping.
Ideally each carrier could have a linear PA (needed for QPSK) & a loss free RF
directional coupler/adder used. But the short term cost of this complexity is
excessive, & the system flexibility (no of carriers) will be hardware fixed.

Comment from Andy GM7HUD:-
In reality EER is used with non-linear amplifiers for real QRO solutions. In
addition the I & Q components can be low level amplified to clipping & then
filtered before that signal is passed to the linear PA stages. This can gain an
extra 2dB in performance. Filtering the components before the main PA will
results in a higher BER at the receiver due to in-band self QRM, but the coding
used by the modulation scheme is normally robust enough to cope with this.

OLD ANALOGUE TV PAs
For main QRO stations these use a separate PA for the FM sound & a Linear PA
for the Video. The video PA is also high level (current) modulated with line
syncs to improve efficiency. The travelling wave type PA tube (several types)
often have annular target anode rings of different HT voltages that greatly
improving overall efficiency.

Using the TV PA efficiency definition of PEP/MEAN DC, efficiency of over 100%
are common on the average picture content (not a black screen)! So you can get
33kW PEP from a 33kW UHF amp & it needs < 33kW of DC!

With this design of QRO PA, the main problem being the regrowth of unwanted
lower sideband of the TV VSB signal. This is normally dealt with by a water
cooled suckout filter in the PA tank circuit. As the sound carriers are added
in with directional couplers after the linear PA there is no mixing problems.

ANALOGUE & DIGITAL TV Co-existing
With a clean QRO analogue Tx the adjacent channel emissions are generally very
low something like > -60dBc. This has allowed the QRP digital TV signals to
exist on adjacent QRO analogue channels providing the Rx is linear. The reverse
is not possible, e.g. QRO Digital with QRP analogue adjacent!


Why Don't U send an Interesting Bul?

73 De John, G8MNY @ GB7CIP




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