[net.ham-radio] Squelch Tails - A retraction

rpw3@redwood.UUCP (Rob Warnock) (07/20/85)

As several people have pointed out, I blew it talking about AGC and
FM radio squelch tails. I WAS thinking about AM or SSB. (*blush*)

How DOES an FM squelch work??? (I admit it, I have no idea...)


Rob Warnock
Systems Architecture Consultant

UUCP:	{ihnp4,ucbvax!dual}!fortune!redwood!rpw3
DDD:	(415)572-2607
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jhs%Mitre-Bedford@d3unix.UUCP (07/25/85)

Blushing is definitely not necessary on the net.  You are EXPECTED to make
innacurate statements from time to time to keep us on our toes.  If it
happens naturally (as it does with most of us) then that just makes it less
work to think them up.

Most FM squelch circuits work by exploiting the difference in spectral density
of noise coming out of the discriminator (or equivalent demodulator) on
quiet or modulated carriers versus noise resulting from Gaussian noise alone
in the IF strip.  The most common form in my (casual) experience is a
high-pass or bandpass filter off the discriminator output, followed by some
kind of amplitude detector such as a rectifier and lowpass filter, and of
course a threshold device such as a Schmitt trigger.  The filter has to reject
the speech band, and should pick up just above it and then drop off again
after a couple of octaves.

It is surprising how sensitive the things can be to even a slight carrier as
opposed to pure noise.  Apparently the high-frequency noise just above the
speech band, say 5 to 20 KHz, quiets very quickly when a weak carrier pops
up.  This is probably due to the sudden disappearance of the "clicks" that
occur in FM when the IF signal-space phasor wraps around the origin.  It does
this all the time when the noise is pure Gaussian with approximately equal
power in any two quadrature phases.  When you "bias" it toward a particular
sinusoidal phase, it suddenly becomes much harder to get it to wrap around the
origin.  It has to overcome the rapidly-diminishing Gaussian probability
distribution to get over to the origin.

To understand the "clicks", you have to understand that an idealized FM
demodulator (discriminator) looks at an IF wave and "computes" as its output
the time derivative of the instantaneous phase of the narrowband random
process it sees at its input.  The phase is the arctangent of the ratio of
the instanteous in-phase and quadrature-phase signals at any given instant.
What is going on is that really rapid phase changes (which give large spikey
outputs with lots of high frequency components because, remember, the phase is
differentiated) tend to occur most easily when the amplitude in BOTH in-phase
and quadrature phase channels happens to be small at the same time, i.e. the
point in the plane representing the input random process is very close to the
origin.  When a signal is injected, this ensures that this "phasor" stays away
from the origin and does not get to generate the rapid phase changes that
occur without a signal, and especially not the really nasty ones that encircle
the origin.

The squelch detector should not be too sensitive to much higher frequencies
than necessary, because these are slower to quiet than lower frequencies.
The phase differentiation process leads to a nearly flat spectrum for low
signal amplitudes and a triangular one, i.e. one that rises linearly with
frequency, for large SNR.  The best place to sense the noise is just above
the speech band, i.e. at as low a frequency as possible consistent with not
being fooled by the signal modulation.

				       -John S., W3IKG