📄 l1_slope_intercept.m
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function [a,b]=l1_slope_intercept(x,y,alpha);
% Compute L2 approximation to slope and intercept
% y =a + b x
% With correction factor for Nsiko-well
% Written by: E. R.: August 8, 2003
% last updated:
%
% [a,b]=l1_slope_intercept(x,y);
% INPUT
% x abscissas
% y ordinates
% OUTPUT
% a intercept
% b slope
if nargin < 3
alpha=0.25;
end
nx=length(x);
nxh=nx/2;
ia=round(max(1,nxh*alpha));
ie=round(nxh*(1-alpha));
if ia > ie
error(' Parameter "alpha" must be between 0 and 0.5')
end
nxh=round(nxh);
temp=(y(end-nxh+1:end)-y(1:nxh))./(x(end-nxh+1:end)-x(1:nxh));
temp=sort(temp);
b=mean(temp(ia:ie));
temp=sort(y-b*x);
a=mean(temp(ia:ie));
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