On Fri, Oct 23, 2009 at 10:40:29AM +0100, James Turner wrote:
> I am not looking to physically model GPS reception, of course: what I  
> want is a filter I can apply to the raw /position values that gives  
> plausibly imprecise values. Ideally, the filter would support a  
> tuneable precision parameter, so I can model selective availability,  
> WAAS and poor reception (crudely) by adjusting the precision input.

How simple do you want? Didn't bother with SA but easy to add.

A = 2.7x10^-5 + (NW * 10^-4) + (BC * 2.7*10^-4)
A1 = A
A2 = A / (cos(tlat) + .0001)
lat = tlat + A1 * sin(min*21)
lon = tlon + A2 * sin(min*27)
if (lat >  90) lat =   180 - lat;
if (lat < -90) lat =  -180 + lat;
if (lon >  180) lon = -360 + lon;
if (lon > -180) lon =  360 - lon;

tlat and tlon are true lat and lon
angles are in degrees
min = time in minutes
NW = 0, except 1 when no WAAS
BC = 0, except 1 when bad conditions

Assumes a pure sinusoid with a frequency of about 15 min. This would
nominally be a factor of 24 (for angle in degrees) but 21 and 27 were
used so lat and lon changes are out of phase.

The amplitude of the noise is based on 3m accuracy at the equator (360
deg / 4x10^7m circumference = 2.7x10^-5). When WAAS is not present,
the amplitude is increased to 15m. When bad conditions are present the
amplitude goes to 33m at best (number is just a guess).

The amplitude for the longitude change is then increased as you get
closer to the poles. Safeguard added to prevent things things from
blowing up if you are manage to hit a pole.

Finally, if the lat, lon are greater than 90, 180 fix them.

-- 
James Treacy
tre...@debian.org

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