A Novel Equivalent Wiener-Hopf Equation with TDL coefficient in Lattice Structure

• Published in: Journal of Information and Communication Convergence Engineering, 9(5) Vol. 9; no. 5; pp. 500 - 504
• Main Authors: Cho, Ju-Phil, Ahn, Bong-Man, Hwang, Jee-Won
• Format: Journal Article
• Language: English
• Published: 한국정보통신학회 31.10.2011
• Subjects: 전자/정보통신공학
• ISSN: 2234-8255; 2234-8883
• DOI: 10.6109/jicce.2011.9.5.500

In this paper, we propose an equivalent Wiener-Hopf equation. The proposed algorithm can obtain the weight vector of a TDL(tapped-delay-line) filter and the error simultaneously if the inputs are orthogonal to each other. The equivalent Wiener-Hopf equation was analyzed theoretically based on the MMSE(minimum mean square error) method. The results present that the proposed algorithm is equivalent to original Wiener-Hopf equation. The new algorithm was applied into the identification of an unknown system for evaluating the performance of the proposed method. We compared the Wiener-Hopf solution with the equivalent Wiener-Hopf solution. The simulation results were similar to those obtained in the theoretical analysis. In conclusion, our method can find the coefficient of the TDL (tapped-delay-line) filter where a lattice filter is used, and also when the process of Gram-Schmidt orthogonalization is used. Furthermore, a new cost function is suggested which may facilitate research in the adaptive signal processing area. KCI Citation Count: 0