Electromagnetic Pulse Signal Representation Using Orthonormal Laguerre Sequences
نویسنده
چکیده
The notion of representing discrete-time electromagnetic pulse (EMP) signals using or-thonormal Laguerre sequences is introduced. The motivation for doing so is that EMP signals and Laguerre sequences are both characterized by decaying exponentials. It is shown that very eecient Laguerre representation of EMP signals is possible using this approach. Given a sequence x(n), its Laguerre expansion is deened as 1],,2] x(n) = 1 X k=0 c k (b)l k (n; b) (1) where n is the time index, 0 < b < 1 is a parameter, l k (n; b) is the k-th Laguerre sequence, and c k is the k-th coeecient of the expansion.
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