Title :
Integral transforms as a change of basis in a vectorial space
Author :
Grilo, Francisco C V ; Casimiro, António M E S ; Lopes, João A Correia
Author_Institution :
Fac. de Engenharia, Porto Univ., Portugal
Abstract :
The value of the signal in one point of the variable is presented as the component of the vector in the basis vector associated with that point. The decomposition of the signal in its components is called the Dirac transform. The change of the convolution into a multiplication, made by the Fourier transform, is a change of bases in the linear space where the signals are defined
Keywords :
signal processing; transforms; vectors; Dirac transform; Fourier transform; integral transformers; linear space; multiplication; vectorial space; Convolution; Fourier transforms; Genetic expression; Kernel; Laplace equations; Signal processing; Vectors;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176119
