extr.m

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%EXTR  finds extrema and zero-crossings
%
% [indmin, indmax, indzer] = EXTR(x,t)
%
% inputs : - x : analyzed signal
%          - t (optional) : sampling times, default 1:length(x)
%
% outputs : - indmin = indices of minima
%           - indmax = indices of maxima
%           - indzer = indices of zero-crossings
%
% See also
%  boundary_conditions_emd
%
% G. Rilling, last modification: July 2002
% [e-mail]
function [indmin, indmax, indzer] = extr(x,t);

if(nargin==1)
  t=1:length(x);
end

m = length(x);

if nargout > 2
	x1=x(1:m-1);
	x2=x(2:m);
	indzer = find(x1.*x2<0);
	
	if any(x == 0)
	  iz = find( x==0 );
	  indz = [];
	  if any(diff(iz)==1)
	    zer = x == 0;
	    dz = diff([0 zer 0]);
	    debz = find(dz == 1);
	    finz = find(dz == -1)-1;
	    indz = round((debz+finz)/2);
	  else
	    indz = iz;
	  end
	  indzer = sort([indzer indz]);
	end
end
  
d = diff(x);

n = length(d);
d1 = d(1:n-1);
d2 = d(2:n);
indmin = find(d1.*d2<0 & d1<0)+1;
indmax = find(d1.*d2<0 & d1>0)+1;

if any(d==0)
  
  imax = [];
  imin = [];
  
  bad = (d==0);
  dd = diff([0 bad 0]);
  debs = find(dd == 1);
  fins = find(dd == -1);
  if debs(1) == 1
    if length(debs) > 1
      debs = debs(2:end);
      fins = fins(2:end);
    else
      debs = [];
      fins = [];
    end
  end
  if length(debs) > 0
    if fins(end) == m
      if length(debs) > 1
        debs = debs(1:(end-1));
        fins = fins(1:(end-1));

      else
        debs = [];
        fins = [];
      end      
    end
  end
  lc = length(debs);
  if lc > 0
    for k = 1:lc
      if d(debs(k)-1) > 0
        if d(fins(k)) < 0
          imax = [imax round((fins(k)+debs(k))/2)];
        end
      else
        if d(fins(k)) > 0
          imin = [imin round((fins(k)+debs(k))/2)];
        end
      end
    end
  end
  
  if length(imax) > 0
    indmax = sort([indmax imax]);
  end

  if length(imin) > 0
    indmin = sort([indmin imin]);
  end
  
end