Discrete-time analytic signals with improved shiftability

We consider a common procedure (Marple, S.L., Jr., IEEE Trans. Sig. Process., vol.47, no.9, p.2600-3, 1999) 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) and 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.