Technique for design of two-channel approximately linear phase QMF filter bank and its application to image compression

Lawson, S.S.; Klouche-Djedid, A.

doi:10.1049/ip-vis:20010313

Cited by 18 publications

(45 citation statements)

References 12 publications

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“…As seen from Figure 6B, C, the proposed neural-based method achieves better phase and group delay responses than methods of Lawson and Klouche-Djedid 12 and Lee and Yang. Obviously, the proposed neural-based approach results in smaller magnitude error responses than those of Lawson and Klouche-Djedid method 12 and Lee and Yang method 15 in most bands of frequency. Obviously, the proposed neural-based approach results in smaller magnitude error responses than those of Lawson and Klouche-Djedid method 12 and Lee and Yang method 15 in most bands of frequency.…”

Section: Simulation Results and Comparisonsmentioning

confidence: 94%

“…11,12,15,25,26 Two neural networks with different number of neurons and Hopfield-related parameters are concurrently designed to obtain the IIR all-pass filters a 1 (n) and a 2 (n). To evaluate the design performance of the proposed neural-based method, the all-pass-based QMF bank designs set the same specifications as those of methods.…”

Section: Simulation Results and Comparisonsmentioning

confidence: 99%

“…The design of QMF banks using IIR all-pass filters possesses the merits of approximately linear-phase response, less computational burden, efficient polyphase implementation, and without yielding magnitude distortion. The analysis filters of the 2-channel QMF banks shown below can be alternatively implemented based on the combination of IIR all-pass filters A 1 (z 2 ) and A 2 (z 2 ) 9,12,15,19,25,26 : The analysis filters of the 2-channel QMF banks shown below can be alternatively implemented based on the combination of IIR all-pass filters A 1 (z 2 ) and A 2 (z 2 ) 9,12,15,19,25,26 :…”

Section: Problem Formulation Of Qmf Bank Design Using All-pass Filtersmentioning

confidence: 99%

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Neural network‐based design of 2‐channel quadrature mirror filter banks

Jou

Lin

Chen

2018

Circuit Theory & Apps

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Two-channel quadrature mirror filter banks can be efficiently established by the combination of real-valued infinite impulse response all-pass filters without incurring aliasing and magnitude distortions. The design problem of filter banks is therefore to seek for the phase error minimization of the all-pass filter coefficients. In this paper, a neural network-based Lyapunov energy function is used to relate to the objective function of the designed all-pass filter coefficients. Based on the architecture of neural networks and suitable selection of Hopfield-related parameters, the all-pass filter coefficients are obtained when the networks reach convergence. By further using the suitable combination of the designed all-pass filters, the 2-channel quadrature mirror filter banks with perfect reconstruction can be efficiently accomplished. Simulation results indicate that the neural network-based approach has the advantage of satisfactory performance in magnitude and group delay responses in a parallelism manner.KEYWORDS all-pass filters, infinite impulse response, Lyapunov energy function, neural networks, quadrature mirror filter

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Section: Simulation Results and Comparisonsmentioning

confidence: 94%

Section: Simulation Results and Comparisonsmentioning

confidence: 99%

Section: Problem Formulation Of Qmf Bank Design Using All-pass Filtersmentioning

confidence: 99%

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Neural network‐based design of 2‐channel quadrature mirror filter banks

Jou

Lin

Chen

2018

Circuit Theory & Apps

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“…, where k is the group delay in passband [5]. Consequently, Hankel matrix can be further simplified as (20).…”

Section: B Qmf Filter Bank Designmentioning

confidence: 99%

“…[1]- [5]. The design methods can be classified into maximally flat design [6], least-squares approximation [7]- [11], minimax approximation [12]- [14], and cepstral coefficients method [15] [16].…”

Section: Introductionmentioning

confidence: 99%

An efficient least-squares design of IIR all-pass filter

Jou

Chen

2009

TENCON 2009 - 2009 IEEE Region 10 Conference

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Least-squares design of digital filters is generally achieved by solving a system of linear equations. The matrices involved in the set of linear equations can be formulated as a Toeplitz-plus-Hankel form such that a matrix inversion is avoided with effectiveness. In this paper, some trigonometric properties are further exploited to obtain the closed-form expressions required for the system associated matrices in the least-squares design of IIR all-pass filters. Simulation results confirm that the proposed method achieves efficiency and good performance.

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Design of digital allpass‐based two‐channel quincunx QMF banks

Lee

Shieh

2012

Circuit Theory & Apps

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This paper presents a novel structure for constructing two-channel quincunx quadrature mirror filter (QQMF) banks. The analysis and synthesis filters of the QQMF bank are composed of two-dimensional (2-D) recursive digital allpass filters with symmetric half-plane support regions. Using the 2-D doubly complementary half-band property possessed by the analysis and synthesis filters, we facilitate the design of the digital allpass-based two-channel QQMF banks. For finding the coefficients of the 2-D recursive symmetric half-plane digital allpass filters, the design problem is appropriately formulated to result in an optimization problem that can be solved by using a weighted least-squares algorithm in the minimax (L 1 ) optimal sense. The novelty of the proposed design method is that the designed 2-D QQMF bank achieves perfect magnitude response and possesses satisfactory phase response without requiring extra phase equalizer. Simulation results are also provided for illustration and comparison.

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Technique for design of two-channel approximately linear phase QMF filter bank and its application to image compression

Cited by 18 publications

References 12 publications

Neural network‐based design of 2‐channel quadrature mirror filter banks

Neural network‐based design of 2‐channel quadrature mirror filter banks

An efficient least-squares design of IIR all-pass filter

Design of digital allpass‐based two‐channel quincunx QMF banks

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