On the Laguerre representation of noisy EMP signals

The notion of representing discrete-time electromagnetic pulse (EMP) signals using orthonormal Laguerre sequences for the noiseless case was introduced by Mandyam, Ahmed and Armstrong (see ibid., vol.37, no.11, p.592-95, 1995). The motivation for doing so is that EMP signals and Laguerre sequences are both characterized by decaying exponentials. Very efficient representation of EMP signals is possible using this approach. The paper extends this representation to noisy EMP sequences where the noise is often additive and white-it is shown that noise suppression is possible using Laguerre representation.