Abstract
By directly optimizing the impulse response coefficient of filter banks, the synthesis of cosine-modulated FIR filter banks and cosine-modulated wavelets can be carried out in a unified framework. Through proper transformation, the problem is formulated as a quadratic-constrained least-squares (QCLS) minimization problem where all constraint matrices are symmetric and positive definite. Furthermore, we create an analog neural network by the augmented cost of the QCLS problem for designing filter banks and wavelets in real time. It turns out that the analysis and synthesis filters with high stopband attenuation and compactly supported wavelets are easily obtained by this method. Computer simulations illustrated the efficiency and effectiveness of our method.
This work was supported by the Natural Science Foundation of China with grant no. 60273100, and partially supported by the Distinguished Youth Scientific and Technological Foundation of An Hui Province (2002-2003).
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Tan, Y. (2005). A Unified Framework for Synthesis of Cosine-Modulated Filter Banks and Corresponding Wavelets. In: Wang, J., Liao, XF., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427445_94
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DOI: https://doi.org/10.1007/11427445_94
Publisher Name: Springer, Berlin, Heidelberg
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