Discrete-time Analytic Signals with Reduced Shiftability
M. Elfataoui and Gagan Mirchandani
(Paper (pdf) / Paper (ps))
In this paper we consider a common procedure \cite{marple} for generating
analytic signals and show how it fails for specific discrete-time real
signals. A new frequency domain technique is formulated that solves the
defect. Both methods have the same redundancy. The new analytic signal
preserves the original signal (real part) as also the zeros of its discrete
spectrum in the negative frequencies. The superiority of the new method is
in the introduction of one additional zero of the continuous spectrum of the
original signal at a negative frequency and a corresponding reduction in
shiftability.