Title :
Noncircular Complex ICA by Generalized Householder Reflections
Author :
Xi-Lin Li ; Adali, Tulay
Author_Institution :
Fortemedia Inc., Sunnyvale, CA, USA
Abstract :
We develop an efficient algorithm for noncircular complex independent component analysis (ICA) by optimizing the rows of separation matrix independently using a generalized Householder reflector and Newton method. We apply the new algorithm to the separation of complex generalized Gaussian distributed (GGD) sources, and propose a convenient way to learn the noncircularity of the sources. Simulation results are reported to study the convergence behavior, and confirm the superior performance of the new algorithm.
Keywords :
Gaussian processes; blind source separation; independent component analysis; matrix algebra; Newton method; blind source separation; complex generalized Gaussian distributed sources; generalized householder reflections; noncircular complex ICA; noncircular complex independent component analysis; separation matrix; Algorithm design and analysis; Independent component analysis; Jacobian matrices; Optimization; Signal processing algorithms; Transforms; Vectors; Blind source separation; Newton algorithm; Wirtinger calculus; generalized Gaussian distribution (GGD); independent component analysis; noncircularity;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2013.2286113
