toimage.m

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%TOIMAGE  transforms a spectrum made of 1D functions in an 2D image
%
% [im,tt,ff] = TOIMAGE(A,f,t,splx,sply) transforms a spectrum made
% of 1D functions (e.g., output of "hhspectrum") in an 2D image
%
% inputs :   - A    : amplitudes of modes (1 mode per row of A)
%            - f    : instantaneous frequencies
%            - t    : time instants 
%            - splx : number of columns of the output im (time resolution).
%                     If different from length(t), works only for uniform 
%                     sampling.
%            - sply : number of rows of the output im (frequency resolution).
% outputs :  - im   : 2D image of the spectrum
%            - tt   : time instants in the image
%            - ff   : centers of the frequency bins
%
% Examples : [im,tt,ff] = toimage(A,f);[im,tt] = toimage(A,f,t);[im,tt,ff] = toimage(A,f,sply);
%            [im,tt,ff] = toimage(A,f,splx,sply);[im,tt,ff] = toimage(A,f,t,splx,sply);
%
%
% See also
%  emd, hhspectrum, disp_hhs
%
% G. Rilling, last modification 3.2007
% [e-mail]

function [im,tt,ff] = toimage(A,f,varargin)


DEFSPL = 400;

error(nargchk(2,5,nargin));

switch nargin
  case 2
    t = 1:size(A,2);
    sply = DEFSPL;
    splx = length(t);
  case 3
    if isscalar(varargin{1})
      t = 1:size(A,2);
      splx = length(t);
      sply = varargin{1};
    else
      t = varargin{1};
      splx = length(t);
      sply = DEFSPL;
    end
  case 4
    if isscalar(varargin{1})
      t = 1:size(A,2);
      sply = varargin{1};
      splx = varargin{2};
    else
      t = varargin{1};
      sply = varargin{2};
      splx = length(t);
    end
  case 5
    t = varargin{1};
    splx = varargin{2};
    sply = varargin{3};
end
if isvector(A)
  A = A(:)';
  f = f(:)';
end


if issparse(A) || ~isreal(A) || length(size(A)) > 2 
  error('A argument must be a real matrix')
end
if issparse(f) || ~isreal(f) || length(size(f)) > 2
  error('f argument must be a real matrix')
end
if any(size(f)~=size(A))
  error('A and f matrices must have the same size')
end
if issparse(t) || ~isreal(t) || ~isvector(t) || length(t)~=size(A,2)
  error('t argument must be a vector and its length must be the number of columns in A and f inputs')
end
if ~isscalar(splx) || ~isreal(splx) || splx ~= floor(splx) || splx <= 0
  error('splx argument must be a positive integer')
end
if ~isscalar(sply) || ~isreal(sply) || sply ~= floor(sply) || sply <= 0
  error('splx argument must be a positive integer')
end

if any(diff(diff(t))) && splx ~= length(t)
  warning('toimage:nonuniformtimeinsants','When splx differs from length(t), the function only works for equally spaced time instants. You may consider reformating your data (using e.g. interpolation) before using toimage.')
end

f = min(f,0.5);
f = max(f,0);

indf = round(2*f*(sply-1)+1);
indt = repmat(round(linspace(1,length(t),splx)),size(A,1),1);
im = accumarray([indf(:),indt(:)],A(:),[sply,splx]);

indt = indt(1,:);
tt = t(indt);
ff = (0:sply-1)*0.5/sply+1/(4*sply);

end