Title :
Improved long convolutions using generalized number theoretic and polynomial transforms
Author :
Pei, Soo-Chang ; WU, JA-LING
Author_Institution :
National Taiwan University, Taipei, Taiwan
fDate :
12/1/1985 12:00:00 AM
Abstract :
Generalized number theoretic and polynomial transforms can be used in the computation of a long convolution. This will reduce the computation complexity by a factor of two; it only requires fewer than 2 real multiplications, 45 real additions, and 10 data shifts per point for a typical 2048 array.
Keywords :
Algorithm design and analysis; Convolution; Equations; Fast Fourier transforms; Polynomials; Remote sensing; Signal analysis; Signal processing; Signal processing algorithms; Speech processing;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1985.1164749