On 09/11/09 06:48, dave perry wrote:

> I have not flown the patch yet.  In this patch, does the region of 
> reliable signal satisfy Figure 1-1-6 on page 503 of the 2008 AIM?  That 
> figure shows valid signals for two over lapped archs.  Arch 1: +\-35 deg 
> out to 10 nm.  Arch 2: +\- 10 deg out to 18 nm.  In real IFR flying, you 
> are always looking for two events as you are intercepting the LOC.  #1:  
> the needle to "come live" with a valid morris code for the LOC, and #2 
> the needle to break away from the case (i.e.un-peg).  #1 occurs well 
> before #2 and relates to the AIM figure 1-1-6.  #2 relates to the beam 
> width.  It would be great to have both well modelled.

I agree it would be great to have a good model of the
localizer signal.  There is a market segment that cares
about this a lot.

As for the details:

a) The code I wrote does not closely conform to AIM figure
 1-1-6 ... nor should it.

 Remember the purpose of the AIM is to provide guidance to
 pilots, to keep them "inside the envelope".  The service
 volume diagram in the AIM is a very aggressively simplified
 approximation that is _inside_ the envelope but does not
 define the actual limits of the actual signal envelope.  
 In mathematical lingo, the AIM provides a sufficient (but 
 not necessary) condition for validity of the signal.

b) The AIM mentions (but does not diagram) the existence
 of "extended service volumes".  In the real world, this is
 quite important, because some procedures require you to
 intercept the localizer more than 18 miles out ... sometimes
 closer to 50 miles.  There is a field in nav.dat that tells
 the size of the service volume.  Navradio.cxx should respect
 this, rather than making assumptions based on some non-
 authoritative AIM diagram.

 The code I wrote respects the nav.dat service volume.

c) In the real world, even if you observe that the localizer 
 is alive and IDENTified and not pegged and not flagged, it 
 is _NOT SAFE_ to assume you are within the service volume.  
 There exist _false localizer courses_.  There is a maxim 
 that says "trust the instruments" but you shouldn't trust 
 them too much.  You can trust an approved instrument 
 approach procedure (IAP) to get you within the service 
 volume before asking you to intercept the localizer, but 
 if you try to "salvage" or "improvise" an approach, the
 localizer CDI can lead you seriously astray.

 Having a good model of false localizer courses is an
 excellent selling point for FGFS.  It is good for an
 instrument student to try following a false localizer
 course at least once, to gain some appreciation for 
 the threat it poses.  Sometimes the instructor can 
 let this happen in the real aircraft, but sometimes 
 it's a lot safer in the simulator.

 The code I wrote includes an implementation of false
 localizer courses.

d) As for the _range_ of detectability _off axis_, in
 the real world, that is highly variable, depending
 on terrain, on the proximity of interfering stations,
 the quality of your receiver, the quality of your
 alternator, et cetera.  Approximating the range as
 independent of azimuth should be good enough for
 now, which is what my code does.  If somebody wants
 to do something fancier, that's fine with me, but 
 perhaps it should wait a week or two, since James 
 wants to "serialize" the flurry of changes.

On 09/11/09 09:24, James Turner wrote:
>> (I worry that any 'accurate' model will be of fearful complexity,  
>> especially if it's physically based - clearly we can do line-of-sight  
>> checks from the aircraft to the navid, but I don't know how much  
>> beyond that might be necessary.

e) An _approximate_ physics model probably wouldn't be
 very complicated.  By way of analogy, note that the
 physics-based model of the atmosphere is shorter,
 simpler, and vastly better behaved than the ad_hoc
 model.

 OTOH I agree that a detailed first-principles physics 
 model for localizers is out of the question, because of 
 the dependence details that we will never know.  In 
 practice the FAA installs the things and then tunes 
 them empirically to optimize the signal.  So we 
 shouldn't be ashamed to have a model that is partly 
 physical and partly empirical.

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