Laguerre-transform signal analysis

Simulation of analogue signals by Laguerre-transformation sampling is considered in the letter. It is shown that the Laguerre transform is more convenient than the Poisson transform for signal analysis; indeed, given the Laguerre transform of a signal, one can immediately write the Laguerre expansion of this signal, while, for the Poisson transform, additional and tedious binomial-weighted summations are required. Also, it is shown that the Laguerre transform corresponds to a simple signal measurement.