On ICA of improper and noncircular sources

We provide a review of independent component analysis (ICA) for complex-valued improper and noncircular random sources. An improper random signal is correlated with its complex conjugate, and a noncircular random signal has a rotationally variant probability distribution. We present methods for ICA using second-order statistics, and higherorder statistics. For ICA based on second-order statistics, we emphasize the key role played by the circularity coefficients, which are the canonical correlations between the source and the complex conjugate. For ICA based on higher-order statistics, we show how to extend algorithms for real-valued ICA to the complex domain using Wirtinger calculus.

• Type: Conference
• Year: 2009
• Where: ICASSP
• Authors: Peter J. Schreier, Tülay Adali, Louis L. Scharf
• Keywords: Complex Conjugate, ICASSP 2009, Random Signal, Second-order Statistics, Signal Processing