COMPLEX ICA FOR CIRCULAR AND NON−CIRCULAR SOURCES (TueAmOR11)
نویسنده
چکیده
In this paper we propose an information theory based generic method for complex Independent Component Analysis (ICA). Expressions for the complex score function are derived. The method exploits the full second order structure of complex signals. It combines a preprocessing step called the strong−uncorrelating transform (SUT) with ICA methods that use the proposed complex score function. The method is capable of separating circular or non−circular and symmetric or asymmetric source distributions from complex mixtures. It allows the separation of such signals with relatively simple modifications to existing methods for real−valued signals. The performance of the proposed method is compared to the standard complex JADE and FastICA algorithms in a simulation.
منابع مشابه
Cramér-Rao Bound for Circular Complex Independent Component Analysis
Despite an increased interest in complex independent component analysis (ICA) during the last two decades, a closed-form expression for the Cramér-Rao bound (CRB) of the complex ICA problem has not yet been established. In this paper, we fill this gap for the noiseless case and circular sources. The CRB depends on the distributions of the sources only through two characteristic values which can...
متن کاملCramér-Rao Bound for Circular and Noncircular Complex Independent Component Analysis
Despite an increased interest in complex independent component analysis (ICA) during the last two decades, a closed form expression for the Cramér-Rao bound (CRB) for the demixing matrix is not known yet. In this paper, we fill this gap by deriving a closed-form expression for the CRB of the demixing matrix for instantaneous noncircular complex ICA. It contains the CRB for circular complex ICA ...
متن کاملA Differential Transform Approach for Modal Analysis of Variable Thickness Two-directional FGM Circular Plates on Elastic Foundations
Based on the differential transformation method, a semi-analytical solution is developed for free vibration and modal stress analyses of variable thickness two-directional functionally graded circular plates with restrained edges, resting on elastic foundations. Variations of the material and geometry parameters are monitored by five distinct exponential functions. The presented non-dimensional...
متن کاملComposition operators between growth spaces on circular and strictly convex domains in complex Banach spaces
Let $\Omega_X$ be a bounded, circular and strictly convex domain in a complex Banach space $X$, and $\mathcal{H}(\Omega_X)$ be the space of all holomorphic functions from $\Omega_X$ to $\mathbb{C}$. The growth space $\mathcal{A}^\nu(\Omega_X)$ consists of all $f\in\mathcal{H}(\Omega_X)$ such that $$|f(x)|\leqslant C \nu(r_{\Omega_X}(x)),\quad x\in \Omega_X,$$ for some constant $C>0$...
متن کاملA Problem of Axisymmetric Vibration of Nonlocal Microstretch Thermoelastic Circular Plate with Thermomechanical Sources
In the present manuscript, we investigated a two dimensional axisymmetric problem of nonlocal microstretch thermoelastic circular plate subjected to thermomechanical sources. An eigenvalue approach is proposed to analyze the problem. Laplace and Hankel transforms are used to obtain the transformed solutions for the displacements, microrotation, microstretch, temperature distribution and stresse...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005