On the equivalence between Gamma and Laguerre filters

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.<>