Title :
On the Reduction of Additive Complexity of Cyclotomic FFTs
Author :
Bellini, S. ; Ferrari, M. ; Tomasoni, A.
Author_Institution :
Dipt. di Elettron. e Inf., Politec. di Milano, Milan, Italy
fDate :
6/1/2012 12:00:00 AM
Abstract :
We investigate a property that we have found in many efficient bilinear cyclic convolutions in GF (2m). We show that this property can reduce the additive complexity of cyclotomic FFTs. We explain how it arises, and why the most common constructions of cyclic convolutions yield this beneficial feature.
Keywords :
Galois fields; bilinear systems; fast Fourier transforms; additive complexity reduction; bilinear cyclic convolutions; cyclotomic FFT; Additives; Complexity theory; Convolutional codes; Fourier transforms; Indexes; Polynomials; Vectors; Fourier transforms; Galois fields; convolution;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2012.041212.110168