On the Laguerre Representation of a Class of Exponential Signals
نویسنده
چکیده
The notion of using orthonormal Laguerre sequences to represent discrete-time signals (sequences) 1.],,2.] was recently used for the representation of electromagnetic pulse (EMP) data 3.]. This formulations resulted in an error function that needed to be minimized with respect to a Laguerre parameter. The objective of this paper is to introduce some suucient conditions for this error function to be unimodal. search LAGUERRE EXPANSION FUNDAMENTALS 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. The set of Laguerre sequences in (1) are orthonormal; i.e.
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