In this paper we consider a common procedure [2] 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 s...

A derivation of results on the analytic behavior of the limiting spectral distribution of sample covariance matrices of the “information-plus-noise” type, as studied in Dozier and Silverstein [3], is presented. It is shown that, away from zero, the limiting distribution possesses a continuous density. The density is analytic where it is positive and, for the most relevant cases of a in the boun...

We develop an analytic performance model for client/server communications using Remote Procedure Call (RPC) with no security over the connectionless datagram protocol in the Open Software Foundation's Distributed Computing Environment (OSF/DCE). It combines features from NetMod, a network performance modeling tool, and the Method of Layers which is a software performance modeling tool. The purp...

Group factorisation plays a vital part in the inverse scattering procedure [2,10]. For example the Riemann-Hilbert problem is a (not quite exact) factorisation of group valued functions on the real line into functions analytic on the lower half plane times functions analytic on the upper half plane. However there is a problem, a group valued function which is analytic on the lower half plane ne...

We have developed a regularisation procedure for the direct deprojection and PSF-deconvolution of X-ray surface brightness profiles of clusters of galaxies. This procedure allows us to obtain accurate density profiles in a straightforward manner from X-ray observations (in particular data from XMM-Newton, where the PSF correction is important), while retaining information about substructure in ...

A unified analytic solution approach to both static bending and free vibration problems of rectangular thin plates is demonstrated in this paper, with focus on the application to corner-supported plates. The solution procedure is based on a novel symplectic superposition method, which transforms the problems into the Hamiltonian system and yields accurate enough results via step-by-step rigorou...

In Multi-Criteria Decision Analysis, the well-known weighted sum method for aggregating normalised relative priorities ignores the unit of scale that may vary across the criteria and thus causes rank reversals. A new aggregation rule that explicitly includes the norms of priority vectors is derived and shown as a remedy for it. An algorithmic procedure is presented to demonstrate how it can as ...