📄 binsmooth.m
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function avin=binsmooth(in,dist)
% Function computes a binomial-weighted average over "dist" samples of
% matrix "in". "dist" must be greater than or equal to 1 and should be
% an odd integer
% Written by: E. R.:
% Last updated: July 9, 2003: modified end condition to assure that mean of columns is not changed
%
% avin=binsmooth(in,dist)
% INPUT
% in matrix whose columns should be smoothed
% dist "distance" in terms of samples over which to average
% OUTPUT
% avout matrix with averaged columns (same size as "in"). At both ends of the column
% vectors the averaging is performed over fewer samples
% SEE ALSO: smooth, anysmooth
% EXAMPLE
% a=[1,0,0,0,1,0,0,0,1]'; as=binsmooth(a,3)
if dist == 1
avin=in;
return
end
[n,m]=size(in);
if n == 1
in=in';
[n,m]=deal(m,n);
flip=1;
else
flip=0;
end
% Create an odd smoothing filter
idist=2*fix((dist-1)/2);
weights=binom(idist,idist+1)/2^idist;
if length(weights) > n
avin=mean(in);
avin=avin(ones(n,1),:);
return
end
append=idist/2;
avin=zeros(size(in));
for ii=1:m
temp1=conv(in(:,ii),weights);
avin(:,ii)=temp1(append+1:end-append);
end
% Repair wrong scaling at ends of data sets
for ii=1:append
fact=sum(weights(1:idist/2+1-ii));
avin(ii,:)=avin(ii,:)+in(ii,:)*fact;
avin(end-ii+1,:)=avin(end-ii+1,:)+in(end-ii+1,:)*fact;
end
if flip
avin=avin';
end
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