Journal of information and communication convergence engineering

The Korea Institute of Information and Commucation Engineering (한국정보통신학회)
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A Novel Equivalent Wiener-Hopf Equation with TDL coefficient in Lattice Structure

  • Cho, Ju-Phil (Department of Radio-communication Eng., KUNSAN National Unversity) ;
  • Ahn, Bong-Man (NURI, JEONBUK National Unversity) ;
  • Hwang, Jee-Won (Department of Information Technology Eng., JEONBUK National Unversity)
  • Received : 2011.06.20
  • Accepted : 2011.07.25
  • Published : 2011.10.31
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Abstract

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.

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References

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