File: idmt.sci

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function [x,t] = idmt(y,beta,M);

// This Software is ( Copyright INRIA . 1998  1 )
// 
// INRIA  holds all the ownership rights on the Software. 
// The scientific community is asked to use the SOFTWARE 
// in order to test and evaluate it.
// 
// INRIA freely grants the right to use modify the Software,
// integrate it in another Software. 
// Any use or reproduction of this Software to obtain profit or
// for commercial ends being subject to obtaining the prior express
// authorization of INRIA.
// 
// INRIA authorizes any reproduction of this Software.
// 
//    - in limits defined in clauses 9 and 10 of the Berne 
//    agreement for the protection of literary and artistic works 
//    respectively specify in their paragraphs 2 and 3 authorizing 
//    only the reproduction and quoting of works on the condition 
//    that :
// 
//    - "this reproduction does not adversely affect the normal 
//    exploitation of the work or cause any unjustified prejudice
//    to the legitimate interests of the author".
// 
//    - that the quotations given by way of illustration and/or 
//    tuition conform to the proper uses and that it mentions 
//    the source and name of the author if this name features 
//    in the source",
// 
//    - under the condition that this file is included with 
//    any reproduction.
//  
// Any commercial use made without obtaining the prior express 
// agreement of INRIA would therefore constitute a fraudulent
// imitation.
// 
// The Software beeing currently developed, INRIA is assuming no 
// liability, and should not be responsible, in any manner or any
// case, for any direct or indirect dammages sustained by the user.
// 
// Any user of the software shall notify at INRIA any comments 
// concerning the use of the Sofware (e-mail : FracLab@inria.fr)
// 
// This file is part of FracLab, a Fractal Analysis Software



[nargout,nargin] = argn(0) ;

[yy,xy]=size(y) ; 
if yy>xy , y = conj(y') ; else, end;
N = length(y) ;
if nargin==2
  M = N ;
end
q = exp(1/(N*(beta(2)-beta(1)))) ;
fmin = 0.5/(q^(N/2-1)) ;

k = 1:N/2 ;
geo_f(k) = fmin*(exp((k-1).*log(q))) ;
itfmatx=[];

itfmatx = exp(2*%i*(0:M-1)'*geo_f(1:N/2)*%pi);

t = [0:M-1] ;   	

// Inverse Mellin transform computation 

S = fft(mtlb_fftshift(y),-1) ;  S=S(1:N/2) ;  
for kk=1:M
   x(kk)=real(2*integ(itfmatx(kk,:).*S,geo_f)) ;
end;

x = x(:) ;