📄 fpbias_g.m
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% fpbias_g.m
% Scope: This MATLAB macro computes the value of a function used to determine
% the parity bias (pbiasb) for the 5 satellite case with Gaussian
% distribution [1].
% Usage: xoutput = fpbias_g(x)
% Description of parameters:
% x - input, scalar independent variable
% pmd - input, global constant, probability of missed detection
% td - input, global constant, normalized threshold
% xoutput - output, computed value of the function; when
% x = pbiasb then the value of the expression is 0.
% Reference:
% [1] Brown, R. G., Chin, G. V., GPS RAIM: Calculation of thresholds
% and protection radius using Chi-square methods - A geometric
% approach. RTCA Paper No. 491-94/SC159-584, Nov. 1994
% Remark: The value of td (fault detection normalized threshold) can be a
% priori determined by using the program XFDNT.
% Last update: 04/12/00
% Copyright (C) 1998-00 by LL Consulting. All Rights Reserved.
function xoutput = fpbias_g(x)
global pmd td
% Example: for pfa = 3.33333e-7
% pmd = 0.001; % probability of missed detection
% td = 5.10364; % normalized threshold td (td = sqrt(a), where a is the
% integration upper limit)
temp = sqrt(2);
temp1 = x/temp;
temp2 = td/temp;
xoutput = erf(temp1 + temp2) - erf(temp1 - temp2) - (pmd + pmd);
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