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Journal articles on the topic 'Parallelogram Quadrature Mirror Filter Bank'

Author: Grafiati

Published: 3 June 2025

Last updated: 7 July 2025

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1

Agrawal, S. K., and O. P. Sahu. "Two-Channel Quadrature Mirror Filter Bank: An Overview." ISRN Signal Processing 2013 (September 3, 2013): 1–10. http://dx.doi.org/10.1155/2013/815619.

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During the last two decades, there has been substantial progress in multirate digital filters and filter banks. This includes the design of quadrature mirror filters (QMF). A two-channel QMF bank is extensively used in many signal processing fields such as subband coding of speech signal, image processing, antenna systems, design of wavelet bases, and biomedical engineering and in digital audio industry. Therefore, new efficient design techniques are being proposed by several authors in this area. This paper presents an overview of analysis and design techniques of the two-channel QMF bank. Application in the area of subband coding and future research trends are also discussed.

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2

SAHU, O. P., M. K. SONI, and I. M. TALWAR. "DESIGNING QUADRATURE MIRROR FILTER BANKS USING STEEPEST DESCENT METHOD." Journal of Circuits, Systems and Computers 15, no. 01 (2006): 29–41. http://dx.doi.org/10.1142/s0218126606002903.

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This paper proposes a new technique for the design of quadrature mirror filter (QMF) banks by exploiting steepest descent method. The design problem is formulated to minimize an objective function, which is a weighted sum of the pass band error and stop band residual energy of the low pass analysis filter of the QMF bank. The minimization has been carried out gradually by respective optimum step lengths in the corresponding steepest descent directions of a linear combination of the objective function and square of the reconstruction error of the QMF bank at the quadrature frequency by optimizing the filter tap weights. The design results show that the proposed method gives a comparable performance to the already existing methods.

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3

Kumar, A., G. K. Singh, and R. S. Anand. "Design of Quadrature Mirror Filter bank using constrained optimisation." International Journal of Signal and Imaging Systems Engineering 2, no. 3 (2009): 126. http://dx.doi.org/10.1504/ijsise.2009.034041.

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4

A., S. Kang, and Vig Renu. "Design and Implementation of Efficient Analysis and Synthesis QMF Bank for Multicarrier Cognitive Radio Communication." TELKOMNIKA Telecommunication, Computing, Electronics and Control 15, no. 2 (2017): 636–45. https://doi.org/10.12928/TELKOMNIKA.v15i2.4746.

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he present section deals with a new type of technique for designing an efficient two channel Quadrature Mirror Filter Bank with constant phase in frequency. For achieving the Perfect Reconstruction Condition in Filter bank, an attempt has been made to design the low pass prototype filter with its impulse response and frequency response in three regions namely pass band, stop band and transition band region. With the error in terms of Reconstruction and the attenuation in the stop band as seen in the prototype filter response, one can evaluate the performance of the introduced filter with the help of filter coefficients generated in the design examples that affects the quality of filter bank design under the constraints of Near Perfect Reconstruction Conditions

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5

Singh, Hitendra, Atul Kumar Dwivedi, and Deepak Nagaria. "Quadrature mirror filter bank design based on hybrid bee colony technique." Automatika 62, no. 2 (2021): 264–74. http://dx.doi.org/10.1080/00051144.2021.1933362.

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6

Kumar, A., S. M. Rafi, and G. K. Singh. "A hybrid method for designing linear-phase quadrature mirror filter bank." Digital Signal Processing 22, no. 3 (2012): 453–62. http://dx.doi.org/10.1016/j.dsp.2012.02.001.

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7

Karakaş, Mehmet Fatih, and Fatma Latifoğlu. "Complex Exponential Modulated Quadrature Filter Bank Design Based on Chaos Game Optimization Algorithm." European Journal of Research and Development 3, no. 3 (2023): 14–30. http://dx.doi.org/10.56038/ejrnd.v3i3.274.

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The design approach presented in this paper uses a new metaheuristic method Chaos Game Optimization (CGO) to design a 2-channel quadrature mirror filter (QMF) banks. For this study, finite impulse response (FIR) low-pass prototype filter coefficients are optimized to minimize the cost function. The cost function is formulated as the sum of four terms: the square sum of the errors between this estimated frequency response and the ideal filter response, passband ripple, stopband ripple, and stopband edge frequency error. These parameters are important components of FIR filter prototype design that are often used alone in many studies. To obtain a QMF bank prototype filter, prototype filter modulated with an appropriate complex exponential signal. The produced design results of the proposed method like performance parameters, frequency responses of prototype filters and QMF bank results are presented and compared with earlier reported results. The results show that the presented study has significant improvement in the performance parameters of QMF banks and prototype filter.

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8

Agrawal, S. K., and O. P. Sahu. "Polyphase Structure Based Eigen Design of Two-Channel Quadrature Mirror Filter Bank." International Journal of Image, Graphics and Signal Processing 6, no. 10 (2014): 29–35. http://dx.doi.org/10.5815/ijigsp.2014.10.04.

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9

Dhabal, Supriya, and Palaniandavar Venkateswaran. "Passive congregation-based particle swarm optimisation for designing quadrature mirror filter bank." International Journal of Signal and Imaging Systems Engineering 9, no. 6 (2016): 357. http://dx.doi.org/10.1504/ijsise.2016.080269.

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10

Dhabal, Supriya, and Palaniandavar Venkateswaran. "Passive congregation-based particle swarm optimisation for designing quadrature mirror filter bank." International Journal of Signal and Imaging Systems Engineering 9, no. 6 (2016): 357. http://dx.doi.org/10.1504/ijsise.2016.10000772.

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11

Upendar, J., C. P. Gupta, and G. K. Singh. "Design of two-channel quadrature mirror filter bank using particle swarm optimization." Digital Signal Processing 20, no. 2 (2010): 304–13. http://dx.doi.org/10.1016/j.dsp.2009.06.014.

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12

Pachauri, Rahul, Rajiv Saxena, and Sanjeev N. Sharma. "Studies on Z-Window Based FIR Filters." ISRN Signal Processing 2013 (September 1, 2013): 1–8. http://dx.doi.org/10.1155/2013/148646.

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As per classification of the window functions, the Z-windows are grouped in the category of steerable side-lobe dip (SSLD) windows. In this work, the application of these windows for the design of FIR filters with improved filter parameters has been explored. The numbers of dips with their respective positions in the side-lobe region have been compositely used to tailor the window shape. Filter design relationships have been established and included in this paper. Simultaneously, an application of these Z-window based FIR filters in designing two-channel quadrature mirror filter (QMF) bank has been presented. Better values of reconstruction and aliasing errors have been achieved in contrast to the Kaiser window based QMF bank.

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13

Baicher, Gurvinder. "Real-time Implementation of a Class of Optimised Multirate Quadrature Mirror Filter Bank Using Genetic Algorithms." JUCS - Journal of Universal Computer Science 18, no. (13) (2012): 1871–87. https://doi.org/10.3217/jucs-018-13-1871.

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This paper considers theoretical issues concerning reconstruction errors and conditions for perfect reconstruction (PR) of the input signal for a 2-channel multirate quadrature mirror filter (QMF) bank. The main emphasis is on the optimisation of a new design of a perfect reconstruction QMF bank using infinite impulse response (IIR) filters based on transformation of variables technique. The genetic algorithm (GA) optimisation is used for the initial design of the QMF bank and for the IIR filters using finite word length coefficients. The optimised results are then applied to a real time digital signal processing kit. Finally, some test results for data compression achievable using different values of encoded bits are included.

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14

Wang, Hao, Chenzi Zhao, Zhijin Zhao, and Yi Huang. "Iterative technique for optimizing two-channel: Quadrature mirror, bi-orthogonal and graph filter bank." Signal Processing 169 (April 2020): 107405. http://dx.doi.org/10.1016/j.sigpro.2019.107405.

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15

Kumar, A., R. Pooja, and G. K. Singh. "Performance of different window functions for designing quadrature mirror filter bank using closed form method." International Journal of Signal and Imaging Systems Engineering 8, no. 6 (2015): 367. http://dx.doi.org/10.1504/ijsise.2015.072926.

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16

Baderia, Kuldeep, Anil Kumar, and Girish Kumar Singh. "Design of quadrature mirror filter bank using polyphase components based on optimal fractional derivative constraints." AEU - International Journal of Electronics and Communications 69, no. 9 (2015): 1254–64. http://dx.doi.org/10.1016/j.aeue.2015.05.006.

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17

Kuldeep, B., A. Kumar, and G. K. Singh. "Design of quadrature mirror filter bank using Lagrange multiplier method based on fractional derivative constraints." Engineering Science and Technology, an International Journal 18, no. 2 (2015): 235–43. http://dx.doi.org/10.1016/j.jestch.2014.12.005.

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18

Luhach, Ravindra, Chandra K. Jha, and Ashish K. Luhach. "Performance Analysis of QMF Filter Bank For Wireless Voip in Pervasive Environment." Recent Patents on Computer Science 12, no. 4 (2019): 349–53. http://dx.doi.org/10.2174/2213275911666181018101737.

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Background: Voice over Internet Protocol (VoIP) has emerged as one of the most significant technology in the field of communication and evolved as a substitute to the conventional communication method as the Public Switched Telephone Network (PSTN). Along with the advantages such as scalability and security, VoIP has some threats such as voice quality and interference that must be dealt with. The voice quality in VoIP is degraded when transmitted over a computer network due to delay, jitter and packet loss etc. Packet loss is one of major reasons for the signal quality degradation. Objective: In this research article, Quadrature Mirror Filter Bank (QMF) has been implemented in wireless VoIP system to enhance the quality of the signals transmitted. Results: The performance has been evaluated under varying network conditions of packet loss. Conclusion: Significant improvement has been observed in the quality of VoIP signal.

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19

Yu, Ya Jun, and Yong Ching Lim. "A Novel Genetic Algorithm for the Design of a Signed Power-of-Two Coefficient Quadrature Mirror Filter Lattice Filter Bank." Circuits, Systems & Signal Processing 21, no. 3 (2002): 263–76. http://dx.doi.org/10.1007/s00034-004-7043-z.

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20

Kumar, Aman, and Ramesh K. Sunkaria. "Two-channel perfect reconstruction (PR) quadrature mirror filter (QMF) bank design using logarithmic window function and spline function." Signal, Image and Video Processing 10, no. 8 (2016): 1473–80. http://dx.doi.org/10.1007/s11760-016-0958-6.

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21

C, Lavanya, and Bharati V Kalghatgi. "Comparison of Multirate two-channel Quadrature Mirror Filter Bank with FIR Filters Based Multiband Dynamic Range Control for audio." IOSR Journal of Electronics and Communication Engineering 9, no. 3 (2014): 19–24. http://dx.doi.org/10.9790/2834-09341924.

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22

Bak, Taejun, Junmo Lee, Hanbin Bae, Jinhyeok Yang, Jae-Sung Bae, and Young-Sun Joo. "Avocodo: Generative Adversarial Network for Artifact-Free Vocoder." Proceedings of the AAAI Conference on Artificial Intelligence 37, no. 11 (2023): 12562–70. http://dx.doi.org/10.1609/aaai.v37i11.26479.

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Neural vocoders based on the generative adversarial neural network (GAN) have been widely used due to their fast inference speed and lightweight networks while generating high-quality speech waveforms. Since the perceptually important speech components are primarily concentrated in the low-frequency bands, most GAN-based vocoders perform multi-scale analysis that evaluates downsampled speech waveforms. This multi-scale analysis helps the generator improve speech intelligibility. However, in preliminary experiments, we discovered that the multi-scale analysis which focuses on the low-frequency bands causes unintended artifacts, e.g., aliasing and imaging artifacts, which degrade the synthesized speech waveform quality. Therefore, in this paper, we investigate the relationship between these artifacts and GAN-based vocoders and propose a GAN-based vocoder, called Avocodo, that allows the synthesis of high-fidelity speech with reduced artifacts. We introduce two kinds of discriminators to evaluate speech waveforms in various perspectives: a collaborative multi-band discriminator and a sub-band discriminator. We also utilize a pseudo quadrature mirror filter bank to obtain downsampled multi-band speech waveforms while avoiding aliasing. According to experimental results, Avocodo outperforms baseline GAN-based vocoders, both objectively and subjectively, while reproducing speech with fewer artifacts.

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23

Ju-Hong, Lee, and Shieh Yi-Lin. "Optimal Design of Two-Channel Recursive Parallelogram Quadrature Mirror Filter Banks." July 1, 2014. https://doi.org/10.5281/zenodo.1094004.

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This paper deals with the optimal design of two-channel recursive parallelogram quadrature mirror filter (PQMF) banks. The analysis and synthesis filters of the PQMF bank are composed of two-dimensional (2-D) recursive digital all-pass filters (DAFs) with nonsymmetric half-plane (NSHP) support region. The design problem can be facilitated by using the 2-D doubly complementary half-band (DC-HB) property possessed by the analysis and synthesis filters. For finding the coefficients of the 2-D recursive NSHP DAFs, we appropriately formulate the design problem to result in an optimization problem that can be solved by using a weighted least-squares (WLS) algorithm in the minimax (<em>L<sub>∞</sub></em>) optimal sense. The designed 2-D recursive PQMF 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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24

Chimin, Tsai. "Analysis of Complex Quadrature Mirror Filter Banks." International Journal of Electrical, Electronic and Communication Sciences 1.0, no. 1 (2008). https://doi.org/10.5281/zenodo.1328898.

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This work consists of three parts. First, the alias-free condition for the conventional two-channel quadrature mirror filter bank is analyzed using complex arithmetic. Second, the approach developed in the first part is applied to the complex quadrature mirror filter bank. Accordingly, the structure is simplified and the theory is easier to follow. Finally, a new class of complex quadrature mirror filter banks is proposed. Interesting properties of this new structure are also discussed.

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25

A., Kumar, K. Singh G., and S. Anand R. "Near Perfect Reconstruction Quadrature Mirror Filter." International Journal of Electrical, Electronic and Communication Sciences 1.0, no. 1 (2008). https://doi.org/10.5281/zenodo.1331565.

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In this paper, various algorithms for designing quadrature mirror filter are reviewed and a new algorithm is presented for the design of near perfect reconstruction quadrature mirror filter bank. In the proposed algorithm, objective function is formulated using the perfect reconstruction condition or magnitude response condition of prototype filter at frequency (ω = 0.5π) in ideal condition. The cutoff frequency is iteratively changed to adjust the filters coefficients using optimization algorithm. The performances of the proposed algorithm are evaluated in term of computation time, reconstruction error and number of iterations. The design examples illustrate that the proposed algorithm is superior in term of peak reconstruction error, computation time, and number of iterations. The proposed algorithm is simple, easy to implement, and linear in nature.

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26

Koza, Turker, and Nurhan Karaboga. "Quadrature Mirror Filter Bank Design for Mitral Valve Doppler Signal Using Artificial Bee Colony Algorithm." Elektronika ir Elektrotechnika 23, no. 1 (2017). https://doi.org/10.5755/j01.eie.23.1.17584.

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In this paper, a new design method was developed for quadrature mirror filter (QMF) bank. Previous QMF bank design methods focused on frequency response properties such as pass band and stop band parameters with symmetrical filters. With the proposed method, QMF bank was designed using on time domain signals as mitral valve signal with unsymmetrical filter. The design problem was formulated as an objective function of difference between QMF bank's input and output signals. QMF bank signal disparity was compared with correlation and peak reconstruction error (PRE). QMF bank prototype filter parameters were optimized with Artificial Bee Colony (ABC) and Differential Evaluation (DE) Algorithms. Design outputs were compared with previous works.

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27

Singh, Hitendra, Atul Kumar Dwivedi, and Deepak Nagaria. "Quadrature Mirror Filter Bank Design Based on Harris Hawks Optimization Technique." Wireless Personal Communications, June 25, 2024. http://dx.doi.org/10.1007/s11277-024-11324-8.

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28

Ram, Kumar Soni, Jain Alok, and Saxena Rajiv. "New Efficient Iterative Optimization Algorithm to Design the Two Channel QMF Bank." International Journal of Electrical, Electronic and Communication Sciences 2.0, no. 12 (2008). https://doi.org/10.5281/zenodo.1331013.

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This paper proposes an efficient method for the design of two channel quadrature mirror filter (QMF) bank. To achieve minimum value of reconstruction error near to perfect reconstruction, a linear optimization process has been proposed. Prototype low pass filter has been designed using Kaiser window function. The modified algorithm has been developed to optimize the reconstruction error using linear objective function through iteration method. The result obtained, show that the performance of the proposed algorithm is better than that of the already exists methods.

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29

Daulat, Himani, Krishna Chauhan, and Tarun Varma. "Empowering quadrature mirror filter bank architectures: dynamic-grey wolf optimization approach for elevated filter orders." Engineering Optimization, August 8, 2024, 1–29. http://dx.doi.org/10.1080/0305215x.2024.2365712.

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30

Ju-Hong, Lee, and Ciou Chong-Jia. "Design of Two-Channel Quincunx Quadrature Mirror Filter Banks Using Digital All-Pass Lattice Filters." March 2, 2017. https://doi.org/10.5281/zenodo.1130163.

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This paper deals with the problem of two-dimensional (2-D) recursive two-channel quincunx quadrature mirror filter (QQMF) banks design. The analysis and synthesis filters of the 2-D recursive QQMF bank are composed of 2-D recursive digital allpass lattice filters (DALFs) with symmetric half-plane (SHP) support regions. Using the 2-D doubly complementary half-band (DC-HB) property possessed by the analysis and synthesis filters, we facilitate the design of the proposed QQMF bank. For finding the coefficients of the 2-D recursive SHP DALFs, we present a structure of 2-D recursive digital allpass filters by using 2-D SHP recursive digital all-pass lattice filters (DALFs). The novelty of using 2-D SHP recursive DALFs to construct a 2-D recursive QQMF bank is that the resulting 2-D recursive QQMF bank provides better performance than the existing 2-D recursive QQMF banks. Simulation results are also presented for illustration and comparison.

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31

Koza, Turker, and Nurhan Karaboga. "Quadrature Mirror Filter Bank Design for Mitral Valve Doppler Signal Using Artificial Bee Colony Algorithm." Elektronika ir Elektrotechnika 23, no. 1 (2017). http://dx.doi.org/10.5755/j01.eie.23.1.17584.

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32

Agrawal, Surendra Kumar, and Himani. "Spider monkey optimization method to design two channel quadrature mirror filter bank with linear phase." International Journal of Information Technology, November 22, 2022. http://dx.doi.org/10.1007/s41870-022-01132-3.

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33

Chauhan, Sumika, Manmohan Singh, and Ashwani Kumar Aggarwal. "Design of a Two-Channel Quadrature Mirror Filter Bank Through a Diversity-Driven Multi-Parent Evolutionary Algorithm." Circuits, Systems, and Signal Processing, January 3, 2021. http://dx.doi.org/10.1007/s00034-020-01625-1.

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34

Wang, Hao, Jianeng Tang, and Fuhong Zhang. "Design of special structure FIR filters and two-channel quadrature mirror FIR filter bank with sparse coefficients." Digital Signal Processing, November 2022, 103843. http://dx.doi.org/10.1016/j.dsp.2022.103843.

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