rticle history: vailable online xxxx eywords: iscrete Hilbert transform iscrete-time analytic signal edrosian product theorem The aim of this paper is to discuss discrete-time analytic signals and to provide the derivation of Bedrosian product theorem for discrete-time Hilbert transform. With the aid of the continuous-time analytic signals we provide a new approach to produce the discretetime a...

The bulk properties of composites are known to depend strongly on the microstructure. This dependence can be quanti ed in terms of a representation introduced by D. Bergman, which factorizes the geometry dependence from the contrast. Based on this analytic representation of the e ective permittivity, we present a general scheme to estimate the micro structural parameters, such as the volume fra...

In this paper, we derive an analytic representation of the eigenvectors and coefficients for in-plane rotated images. This, on the one hand, allows an efficient PCA-basis calculation in the learning stage and on the other hand a direct computation of the rotation angle in the recognition stage. In the experimental section, we demonstrate that the new method is feasible and the recognition and o...

In the signal theory framework the "analytic signal” is a particular polar representation of a signal . It defines an envelope (a modulus) and a phase (an argument) and these parameters are basic in communications. In this paper, we show that amplitude demodulations generally change envelopes and reduced phases. Consequently we show that recent results in laser communications about these parame...

a variety of semiautomatic methods, based on the use of derivatives of the magnetic anomalies, have been developed for the determination of both of the causative source parameters such as locations of boundaries and depths. one of these techniques is the method of the analytic signal for magnetic anomalies, which was initially used in its complex function form and makes use of the properties of...

This paper is devoted to the computation of statistical characteristics of the response of discrete vibration systems with a random external excitation. The excitation can act at multiple points and is modeled by a time-shifted random process and its derivatives up to the second order. Statistical characteristics of the response are given by expansions as to the correlation length of a weakly c...

The paper presents a family of cycloidal cyclical surfaces, which are created by a movement of a circle alongside the special spatial cycloidal curve, where the circle is located in the curve normal plane and its centre is on this curve. The spatial cycloidal curve can be created by simultaneous revolution of a point about three different axes 3o,2 o and 1o in the space. The form of the cycloid...

We consider the Diophantine problem of Frobenius for semigroup S ( d ) where d denotes the tuple (d1, d2, d3), gcd(d1, d2, d3) = 1. Based on the Hadamard product of analytic functions [17] we have found the analytic representation for the diagonal elements akk ( d ) of the Johnson’s matrix of minimal relations [12] in terms of d1, d2, d3. Bearing in mind the results of the recent paper [10] thi...

We investigate phase synchronization in EEG recordings from migraine patients. We use the analytic signal technique, based on the Hilbert transform, and find that migraine brains are characterized by enhanced alpha band phase synchronization in the presence of visual stimuli. Our findings show that migraine patients have an overactive regulatory mechanism that renders them more sensitive to ext...