Title :
On the equivalence between Gamma and Laguerre filters
Author :
Silva, Tomás Oliveira e
Author_Institution :
Dept. de Electron., Aveiro Univ., Portugal
Abstract :
Proves the equivalence between the Gamma and Laguerre filters. Applying the optimal conditions for Gamma filters, which are easy to obtain, the author arrives at the optimal conditions for Laguerre filters. Curiously these conditions are the same as those of a truncated Laguerre series approximation, which corresponds to the usage of an impulse as the input of the Laguerre filter. The author illustrates these results with an example. The author also investigates the relative merits of both structures in an adaptive filter setup
Keywords :
IIR filters; adaptive filters; digital filters; optimisation; stochastic processes; Gamma filters; Laguerre filter; adaptive filter; impulse; optimal conditions; truncated Laguerre series approximation; Adaptive filters; Delay; Equations; Filtering theory; Low pass filters; Nonlinear filters; Transfer functions; Transversal filters; Vectors;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-1775-0
DOI :
10.1109/ICASSP.1994.389800
