c06frf

Purpose

Synopsis

[x,y,trig,ifail] = c06frf(x,y<,trig,init,ifail>)

Description

 
                                             p                   
 Given m sequences of n complex data values z , for j=0,1,...,n-1;
                                             j                   
 p=1,2,...,m, this routine simultaneously calculates the Fourier 
 transforms of all the sequences defined by:
 
            n-1                  
    ^p   1  --  p    (   2(pi)jk)
    z = --- >  z *exp(-i -------), k=0,1,...,n-1; p=1,2,...,m.
     k    _ --  j    (      n   )
        \/n j=0                  
 
                          1                     
 (Note the scale factor  --- in this definition.)
                           _                    
                         \/n                    
 
 The discrete Fourier transform is sometimes defined using a 
 positive sign in the exponential term
 
                          n-1                  
                  ^p   1  --  p    (   2(pi)jk)
                  z = --- >  z *exp(+i -------).
                   k    _ --  j    (      n   )
                      \/n j=0                  
 
 To compute this form, this routine should be preceded and 
 followed by negating the imaginary parts of the data
 to form the complex conjugates of
      p         ^p
 the z  and the z .
      j          k
 

Parameters

c06frf

Required Input Arguments:

x (:,:)                               real
y (:,:)                               real

Optional Input Arguments:                       <Default>

trig (:)                              real     zeros(2*size(x,2),1)
init (1)                              string   c06frf05(trig)
ifail                                 integer  -1

Output Arguments:

x (:,:)                               real
y (:,:)                               real
trig (:)                              real
ifail                                 integer