Title
New polynomial transform algorithms for fast DFT computation
Abstract
Polynomial transforms defined in rings of polynomials, have been introduced recently and shown to give efficient algorithms for the computation of two-dimensional convolutions. In this paper, we present two methods for computing discrete Fourier transforms (DFT) by polynomial transforms. We show that these techniques are particularly well adapted to multidimensional DFTs and yield algorithms that are, in many instances, more efficient than the fast Fourier transform (FFT) or the Winograd Fourier Transform (WFTA).
Year
DOI
Venue
1979
10.1109/ICASSP.1979.1170654
Acoustics, Speech, and Signal Processing, IEEE International Conference ICASSP '79.
Keywords
Field
DocType
discrete fourier transform,fast fourier transforms,fast fourier transform,algebra,arithmetic,multidimensional systems,fourier transforms,fourier transform,polynomials
Non-uniform discrete Fourier transform,Cyclotomic fast Fourier transform,Algebra,Prime-factor FFT algorithm,Computer science,Algorithm,Fast Fourier transform,Discrete Fourier transform (general),Discrete Fourier transform,Fractional Fourier transform,Discrete sine transform
Conference
Volume
Citations 
PageRank 
4
1
0.75
References 
Authors
2
2
Name
Order
Citations
PageRank
H. J. Nussbaumer13833.38
Philippe Quandalle210.75