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Design of Two-Channel Quadrature Mirror Filter Banks Using Minor Component Analysis Algorithm

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Abstract

The design of two-channel quadrature mirror filter banks can be constructed based on real infinite impulse response (IIR) all-pass digital filters without yielding magnitude distortion. The design problem is first formulated as a phase optimization using IIR all-pass filters in the least-squares sense. Then the nonlinear phase optimization is further converted into solving an eigenproblem of an appropriate real, symmetric, and positive-definite matrix. In this paper, the minor component analysis algorithm based on the neural learning rule is exploited to the design of eigenfilter. When the learning algorithm achieves convergence, the weights of the neural system approximate the smallest eigenvector, which are the optimal filter coefficients of the IIR all-pass filters. The simulation results confirm that the proposed neural-based method can achieve accurate performance by incorporating the simple neural model.

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Acknowledgments

The authors are grateful to the editor and anonymous reviewers for their valuable recommendations and constructive comments, which truly helped toward an effective presentation of the proposed paper. This work was supported in part by the Ministry of Science and Technology of the Republic of China under research contracts NSC 100-2221-E-0145-005 and NSC-101-2221-E-0145-004.

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Authors and Affiliations

  1. School of Defense Science, Chung Cheng Institute of Technology, National Defense University, Tahsi County, Taoyuan 335, Taiwan, ROC

    Li-Woei Chen & Shu-Sheng Hao

  2. Department of Electrical Engineering, R.O.C. Military Academy, P.O. Box 90602-6, Feng-Shan District, Kaohsiung 830, Taiwan, ROC

    Yue-Dar Jou

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  1. Li-Woei Chen
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Correspondence to Yue-Dar Jou.

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Chen, LW., Jou, YD. & Hao, SS. Design of Two-Channel Quadrature Mirror Filter Banks Using Minor Component Analysis Algorithm. Circuits Syst Signal Process 34, 1549–1569 (2015). https://doi.org/10.1007/s00034-014-9914-2

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  • DOI: https://doi.org/10.1007/s00034-014-9914-2

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