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In this paper we present a new source separation method based on dynamic sparse source signal models. Source signals are modeled in frequency domain as a product of a Bernoulli selection variable with...
SOURCE SEPARATION USING SPARSE DISCRETE PRIOR MODELS     SOURCE SEPARATION  SPARSE DISCRETE  PRIOR MODELS       font style='font-size:12px;'> 2015/9/29
In this paper we present a new source separation method based on dynamic sparse source signal models. Source signals are modeled in frequency domain as a product of a Bernoulli selection variablewith ...
This paper describes two digital implementations of a new mathematical transform, namely, the second generation curvelet transform [12, 10] in two and three dimensions. The first digital transformatio...
Making use of the Whittaker-Shannon interp olation formula w ith shifted sampling p oints, we prop ose in this pap e r a well-p osed semi-discretization of the stationary Wigner equation with inflow B...
We consider the parametric estimation of the driving L\'evy process of a multivariate continuous-time autoregressive moving average (MCARMA) process, which is observed on the discrete time grid $(0,h,...
Lam´e’s formulas for the eigenvalues and eigenfunctions of the continuous Laplacian on an equilateral triangle under Dirichlet and Neumann boundary conditions are herein extended to the discrete...
Time, cost and quality are among the major objectives of any project .In recent years, the demands of project stakeholders regarding reductions in the total cost and time of a project along with achie...
Explosive instabilities in two uniform spatially discrete schemes for a semilinear parabolic equation in one space dimension are studied by intensive numerical simulations. We shows for both schemes t...
More than discrete or continuous: a bird's view     discrete or continuous  bird's view       font style='font-size:12px;'> 2010/11/23
I try to give mathematical evidence to the following equivalence, which is based on ideas from Plato (Timaeus): reality emerges from a more primitive, non-geometrical, reality in the same way as the ...
Discrete dynamics in implicit form     Discrete dynamics  math       font style='font-size:12px;'> 2010/11/22
An algorithm for extracting the integrable part (backward or/and forward) of an implicit difference equation is formulated. We prove that Discrete Lagrangian dynamics on Lie groupoids may be describe...
Partial differential equations with discrete (concentrated) state-dependent delays are studied. The existence and uniqueness of solutions with initial data from a wider linear space is proven first a...
This paper discusses linear fractional representations (LFR) of parameter-dependent nonlinear systems with real-rational nonlinearities and point-delayed dynamics. Sufficient conditions for robust glo...
On the tolerable perturbed initial states: Discrete systems     Asymptotic stability  continuous systems       font style='font-size:12px;'> 2010/9/10
Consider the output signal y(i) = Cx(i) of a linear discrete system described by x(i+1) = Ax(i) where x(0) = x0. Given a tolerance index ρ, we say that a perturbation ω is ρ-tolerable if yω(i)−...
This paper discusses robust H∞ disturbance attenuation of uncertain discrete-time systems that have time-varying delay in state. There have been only a few results on H∞ disturbance attenuation for di...
We present a new discrete fixed point theorem based on a variation of the direction-preserving maps over simplicial structures. We show that the result is more general than the recent discrete fixed ...

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