Mathematica 9 is now available
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Wolfram Mathematica Documentation Center
DOCUMENTATION CENTER SEARCH
New to Mathematica? Find your learning path »
Mathematica > Mathematics and Algorithms > Calculus > Integral Transforms > Fourier Analysis > FourierParameters >
BUILT-IN MATHEMATICA SYMBOLSee Also »|More About »

FourierParameters

FourierParameters
is an option to Fourier and related functions that specifies the conventions to use in computing Fourier transforms.
MORE INFORMATION
  • Some common choices for are (default), (data analysis), (signal processing).
EXAMPLESCLOSE ALL
Basic Examples   (2)
Use a nondefault definition of the discrete Fourier transform:
Use the same definition to get the inverse:
A nondefault definition used for the continuous Fourier transform:
Use a nondefault definition of the discrete Fourier transform:
In[1]:=
Click for copyable input
Out[1]=
Use the same definition to get the inverse:
In[2]:=
Click for copyable input
Out[2]=
 
A nondefault definition used for the continuous Fourier transform:
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
Scope   (3)
A typical pure mathematics or systems-engineering definition of Fourier transform:
Use the same definition for the inverse transform:
A common signal-processing definition of Fourier transform:
Use the same parameter definition for the inverse:
A typical data-analysis definition of discrete Fourier transform:
Use the same definition to get the correct inverse:
Possible Issues   (2)
The same FourierParameters values need to be used for both forward and inverse transforms:
Here the inverse uses a different choice of FourierParameters:
The second parameter needs to be relatively prime to the data length to guarantee invertibility:
New in 4
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team
Format:   HTML  |  CDF