Design of two-channel linear-phase QMF banks based on real IIR all-pass filters

Lee, J.-H.; Yang, Yuan-Hau

doi:10.1049/ip-vis:20030699

Cited by 18 publications

(61 citation statements)

References 17 publications

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“…Therefore, the output of the 2-D PQMF bank is given by (6) From (6), we have the overall transfer function of the 2-D twochannel PQMF bank as follows:…”

Section: Conventional 2-d Two-channel Pqmf Banksmentioning

confidence: 99%

“…Equation (6) reveals that producing a reconstructed signal that is a delayed replica of the input requires (8) for all , where and represent the system delays of the 2-D PQMF bank. This imposes constraints not only that and should be an ideal low-pass and high-pass filters, respectively, but also that their behaviors for all should satisfy the condition given by (8).…”

Section: Conventional 2-d Two-channel Pqmf Banksmentioning

confidence: 99%

“…In the literature, many techniques have been proposed for designing two-channel recursive QMF banks with 1-D digital all-pass filters (DAFs) [4]- [6]. One-dimensional DAFs are utilized to construct the recursive analysis/synthesis filters of QMF banks.…”

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confidence: 99%

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Two-Channel Parallelogram QMF Banks Using 2-D NSHP Digital All-Pass Filters

Lee¹,

Yang

2010

IEEE Trans. Circuits Syst. I

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This paper presents a novel structure for the analysis and synthesis filters of two-channel parallelogram quadrature mirror filter (PQMF) banks. Two-dimensional recursive digital allpass filters (DAFs) with nonsymmetric half-plane (NSHP) support regions are used as the basic sections for building this structure. With an appropriate combination of the 2-D NSHP DAFs, the resultant analysis/synthesis filters possess a 2-D doubly complementary symmetry that facilitates the design and implementation of two-channel PQMF banks. Moreover, the proposed PQMF bank provides approximately linear-phase response without magnitude distortion. The design problem of the proposed PQMF bank is appropriately formulated to result in a minimization of the linearphase error associated with the 2-D NSHP DAFs in the th-norm sense. Efficient design techniques are developed to solve the optimization problems. Simulation results for illustration and comparison are also provided. Index Terms-Doubly complementary (DC) filter, nonsymmetric half-plane (NSHP) filter, parallelogram quadrature mirror filter (PQMF) bank.

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“…Therefore, the output of the 2-D PQMF bank is given by (6) From (6), we have the overall transfer function of the 2-D twochannel PQMF bank as follows:…”

Section: Conventional 2-d Two-channel Pqmf Banksmentioning

confidence: 99%

Section: Conventional 2-d Two-channel Pqmf Banksmentioning

confidence: 99%

See 1 more Smart Citation

Two-Channel Parallelogram QMF Banks Using 2-D NSHP Digital All-Pass Filters

Lee¹,

Yang

2010

IEEE Trans. Circuits Syst. I

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“…From (27), we must let be even and be odd to satisfy the condition given by (5). Based on (13), (14) and (27), we note that and its shifted version also possess the DC properties, i.e.,…”

Section: -D Doubly Complementary Half-band (Dc-hb) Recursive Filtersmentioning

confidence: 99%

“…In the literature, many techniques have been proposed for designing two-channel recursive QMF banks with 1-D allpass digital filters (DAFs) [3]- [5]. 1-D DAFs are utilized to construct the recursive analysis/synthesis filters of QMF banks.…”

Section: Introductionmentioning

confidence: 99%

Two-Channel Quincunx QMF Banks Using Two-Dimensional Digital Allpass Filters

Lee¹,

Yang

2009

IEEE Trans. Circuits Syst. I

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This paper presents a novel structure for the analysis and synthesis filters of two-channel quincunx quadrature mirror filter (QQMF) banks. This structure uses an appropriate combination of 2-D recursive digital allpass filters (DAFs) with symmetric half-plane (SHP) support regions. The proposed analysis/synthesis filters possess a 2-D doubly complementary half-band (DC-HB) property that facilitates the design and implementation of the proposed two-channel QQMF banks. Moreover, the proposed structure provides approximately linear-phase response without magnitude distortion. The design problem of the proposed QQMF banks is appropriately formulated to result in a linear optimization problem that only minimizes the linear-phase error associated with the 2-D SHP DAFs in the th-norm ( ) sense. Efficient design techniques are developed to solve the optimization problem for finding the coefficients of the 2-D recursive SHP DAFs. Finally, we provide simulation results for illustration and comparison.Index Terms-Doubly complementary filter, quincunx QMF bank, symmetric half-plane filter.

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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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Design of two-channel linear-phase QMF banks based on real IIR all-pass filters

Cited by 18 publications

References 17 publications

Two-Channel Parallelogram QMF Banks Using 2-D NSHP Digital All-Pass Filters

Two-Channel Parallelogram QMF Banks Using 2-D NSHP Digital All-Pass Filters

Two-Channel Quincunx QMF Banks Using Two-Dimensional Digital Allpass Filters

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

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