This paper addresses blind source separation (BSS) problem when source signals have the temporal structure with nonlinear autocorrelation. Using the temporal characteristics of sources, we develop an objective function based on the nonlinear autocorrelation of sources. Maximizing the objective function, we propose a fixed-point source separation algorithm. Furthermore, we give some mathematical...

the aim of this work was to develop a selective cloud point extraction method for the separation and preconcentration of copper(ii) prior to spectrophotometric determination. for this purpose dithizone was used as a complexing agent and the experimental solution was acidified with sulfuric acid. triton x-114 was used as a surfactant and after phase separation, based on the cloud point of the mi...

Separation of a racemic mixture of ibuprofen at a low concentration level by supercritical fluid chromatography in a simulated moving bed (SFC-SMB) is investigated by simulation. The feasibility of ibuprofen enantiomers separation has been experimentally examined in the literature. Our simulation results show that separation of ibuprofen enantiomers is feasible by this method, and R-ibuprofen a...

This paper evaluates the performance of some major Independent Component Analysis (ICA) algorithms like Hyv ̈arinen’s fixed point algorithm, Pearson based ICA algorithm and OGWE (Optimized Generalized Weighted Estimator) ICA algorithm in a biomedical blind source separation problem. Independent signals representing Fetal ECG (FECG) and Maternal ECG (MECG) generated and then mixed linearly to sim...

Blind separation of source signals usually relies either on the nonGaussianity of the signals or on their linear autocorrelations. A third approach was introduced by Matsuoka et al. (1995), who showed that source separation can be performed by using the nonstationarity of the signals, in particular the nonstationarity of their variances. In this paper, we show how to interpret the nonstationari...

The main goal of this paper is to prove a Digital Jordan– Brouwer Theorem and an Index Theorem for simplicity 26-surfaces. For this, we follow the approach to Digital Topology introduced in [2], and find a digital space such that the continuous analogue of each simplicity 26-surface is a combinatorial 2-manifold. Thus, the separation theorems quoted above turn out to be an immediate consequence...

Abstract. Recent work on eigenvalues and eigenvectors for tensors of order m ≥ 3 has been motivated by applications in blind source separation, magnetic resonance imaging, molecular conformation, and more. In this paper, we consider methods for computing real symmetric-tensor eigenpairs of the form Axm−1 = λx subject to ‖x‖ = 1, which is closely related to optimal rank-1 approximation of a symm...

By a space, we always mean topological space. Throughout the paper, we mostly use the standard topological notions as in [1] or [3] with the exception that all spaces are assumed without any separation axioms. Especially, compactness is understood without the Hausdorff separation axiom. Some definitions (with broad references and explanations) of less standard notions (related especially to non...