Title :
A new tensor product formulation for Toom´s convolution algorithm
Author :
Elnaggar, Ayman ; Alouweiri, H.M. ; Ito, M.R.
Author_Institution :
Sultan Qaboos Univ., Muscat, Oman
fDate :
4/1/1999 12:00:00 AM
Abstract :
This correspondence presents a new recursive formulation of Toom´s algorithm that allows the generation of higher order (longer size) one-dimensional (1-D) convolution architectures from three lower order (shorter sizes) convolution architectures. Our methodology is based on manipulating tensor product forms so that they can be mapped directly into modular parallel architectures. The resulting convolution circuits have very simple modular structure and regular topology
Keywords :
convolution; matrix algebra; parallel algorithms; parallel architectures; tensors; 1D convolution architectures; Toom´s algorithm; VLSI structures; convolution circuits; linear convolution; modular parallel architectures; recursive formulation; regular topology; tensor product formulation; Circuit topology; Convolution; Digital signal processing; Image processing; Indium tin oxide; Parallel architectures; Signal processing; Signal processing algorithms; Tensile stress; Very large scale integration;
Journal_Title :
Signal Processing, IEEE Transactions on