Tills thesis is initially concerned with solving the Blind Source Separation (BSS) problem. The BSS problem has been found to occur frequently in problems existing in various Scientific and Engineering application areas. The basic idea of the BSS problem is to separate a collection of mixed data into its underlying information components. To tackle the BSS problem two related methodologies have been utilized extensively throughout the literature. The first approach is by utilizing the statistical technique Independent Component Analysis (ICA). This method utilizes a transformation that maximizes the statistical independence of the mixed data components.