| List Of Fourier-related Transforms |
Article Index for List Of |
Website Links For List |
Information AboutList Of Fourier-related Transforms |
| CATEGORIES ABOUT LIST OF FOURIER-RELATED TRANSFORMS | |
| complex analysis | |
| fourier analysis | |
| image processing | |
| integral transforms | |
| mathematics-related lists | |
| fourier transforms | |
|
This is a list of Linear Transformation s of Function s related to the Fourier Transform . Such transformations map a function to a set of Coefficient s of Basis Function s, where the Basis Function s are Sinusoidal and are therefore strongly localized in the Frequency Spectrum . (These transforms are generally designed to be invertible.) In the case of the Fourier transform, each basis function corresponds to a single Frequency component. Applied to functions of continuous arguments, Fourier-related transforms include:
For usage on Computer s, number theory and algebra, discrete arguments (e.g. functions of a series of discrete samples) are often more appropriate, and are handled by the transforms (analogous to the continuous cases above):
The usage of all of these transforms is greatly facilitated by the existence of efficient algorithms based on a Fast Fourier Transform (FFT). The Nyquist-Shannon Sampling Theorem is critical for understanding the output of such discrete transforms. EXTERNAL LINKS
BIBLIOGRAPHY
SEE ALSO
|
|
|