Extraction of Specific Signals with Temporal Structure

this article, we propose a simple batch algorithm that guarantees blind extraction of any source signal s i that satisfies for the specific time delay # i the following relations: E[s i (k)s i (k E[s i (k)s j (k i j. (2.1) Because we want to extract only a desired source signal, we can use a simple processing unit described as y(k) x(k), where y(k) is the output signal (which estimates the specific source signal s i ), k is the sampling number, andw is the weight vector. For the purpose of developing the algorithm, let us first define the following error, #(k) y(k) by(k p), (2.2) where b is a coefficient of a simple FIR filter with single delay z -pT s , where T s is the sampling period (assumed to be one