Efficient Optimization of Reference-Based Negentropy for Noncircular Sources in Complex ICA

Abstract

Bingham proposed a complex fast independent component analysis (cFastICA) algorithm to approximate the nengentropy of circular sources using nonlinear functions. Novey proposed extending the work of Bingham using information from a pseudo-covariance matrix for noncircular sources, particularly for sub-Gaussian noncircular signals such as binary phase-shift keying signals. Based on this work, in the present paper we propose a new reference-based contrast function by introducing reference signals into the negentropy, upon which an efficient optimization FastICA algorithm is derived for noncircular sources. This new approach is similar to Novey's nc-FastICA algorithm, but differs in that it is much more efficient in terms of the computational speed, which is significantly notable with a large number of samples. In this study, the local stability of our reference-based negentropy is analyzed and the derivation of our new algorithm is described in detail. Simulations conducted to demonstrate the performance and effectiveness of our method are also described.

Improving The Efficiency of Frequency Domain Channel Estimation in 16-QAM Polarization Division Multiplexing Coherent Optical OFDM Systems Using Complex Fixed-Point ICA

“…Çoğu BBA algoritması, amaç fonksiyonu olarak doğrusal olmayan fonksiyonlar kullanarak, en büyük olabilirlik veya negatif entropinin en büyük yapılması ilkelerini temel almaktadır. Örneğin hızlı BBA (H-BBA) algoritması, negatif entropinin maksimizasyon ilkesine [7], [8] ve kompleks entropi bağlı minimizasyon BBA (KEBM-BBA) algoritması, en büyük olabilirlik ilkesini temel almaktadır [9], [10]. [3].…”