Title :
A comment on the approximation of signals by Gaussian functions
Author :
Ferreira, Paulo Jorge S G
Author_Institution :
Dept. de Electron. e Telecoms, Aveiro Univ., Portugal
fDate :
2/1/1998 12:00:00 AM
Abstract :
It is pointed out that an approximation property of Gaussian functions, derived in a recent work by J. Ben-Arie and K.R. Rao (see ibid., vol. 42, p. 402-13, June 1995), is a direct corollary to the work of Wiener (1933) on the closure of translations in L1 and L 2. This observation not only simplifies the proof of the approximation property, but also renders the result applicable, in a more general setting, to other functions (not necessarily Gaussian)
Keywords :
approximation theory; functions; signal representation; Gaussian functions; approximation property; closure of translations; signal approximation; Approximation methods; Circuits; Digital signal processing; Fourier transforms; Gaussian approximation; Hilbert space; Linear approximation; Signal representations; Telecommunications;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
