International Journal of Image, Graphics and Signal Processing (IJIGSP)
IJIGSP Vol. 6, No. 10, 8 Sep. 2014
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Polyphase Structure Based Eigen Design of Two-Channel Quadrature Mirror Filter Bank
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Author(s)
S. K. Agrawal
1,*
O.P. Sahu
1
Index Terms
Nonlinear optimization, Polyphase decomposition, Sub-band coding, Perfect reconstruction
Abstract
This paper presents a method for the design of two-channel quadrature mirror filter (QMF) banks with linear phase in frequency domain. Low-pass prototype filter of the QMF bank is implemented using polyphase decomposition. Prototype filter coefficients are optimized to minimize an objective function using eigenvalue-eigenvector approach without matrix inversion. The objective function is formulated as a weighted sum of four terms, pass-band error and stop-band residual energy of low-pass analysis filter, the square error of the overall transfer function at the quadrature frequency and amplitude distortion of the filter bank. The simulation results clearly show that the proposed method requires less computational efforts in comparison to the other state-of-art existing design methods.
Cite This Paper
S. K. Agrawal, O. P. Sahu,"Polyphase Structure Based Eigen Design of Two-Channel Quadrature Mirror Filter Bank", IJIGSP, vol.6, no.10, pp.29-35, 2014. DOI: 10.5815/ijigsp.2014.10.04
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