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1

SHUI, PENG-LANG, and XIAO-LONG WANG. "2M-BAND INTERLEAVED DFT MODULATED FILTER BANKS WITH PERFECT RECONSTRUCTION." International Journal of Wavelets, Multiresolution and Information Processing 06, no. 04 (2008): 499–520. http://dx.doi.org/10.1142/s021969130800246x.

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In this paper, we propose a new family of perfect reconstruction (PR) complex filter banks, named interleaved discrete Fourier transform modulated filter banks (Interleaved DFT-FBs). In the filter banks, the analysis filters are generated by interlaced exponential modulating two different analysis prototype filters, and the synthesis filters are generated by two different synthesis prototype filters via the same manner. The filter banks have a simple polyphase structure similar to DFT modulated filter banks (DFT-FBs). More importantly, the proposed Interleaved DFT-FBs can achieve critically sa
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2

Lee, J. H., and W. J. Kang. "Designing filters for polyphase filter banks." IEE Proceedings G Circuits, Devices and Systems 139, no. 3 (1992): 363. http://dx.doi.org/10.1049/ip-g-2.1992.0059.

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3

Zhang, Shuai, Yong Xiang Zhang, and Jie Ping Zhu. "Rolling Bearing Feature Extraction Based on Wavelet Filtering with Optimal Combination Bands." Applied Mechanics and Materials 599-601 (August 2014): 434–40. http://dx.doi.org/10.4028/www.scientific.net/amm.599-601.434.

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In order to select the band-pass filter parameters reasonably, a new method of rolling bearing feature extraction based on wavelet filtering with optimal combination bands is proposed. Filter banks with different number of filter/octave are constructed by Morlet wavelet, which are used to filter the signal. The filters with the optimal frequency-band are selected according to the kurtosis of the filtered signal. Then, the optimal band filters in each filter bank are combined to filter the signals and the feature extraction is available. Through simulation and experimental verification, results
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4

Tay, David B. H., Yuichi Tanaka, and Akie Sakiyama. "Critically sampled graph filter banks with polynomial filters from regular domain filter banks." Signal Processing 131 (February 2017): 66–72. http://dx.doi.org/10.1016/j.sigpro.2016.07.003.

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5

Chen, T., and P. P. Vaidyanathan. "Multidimensional multirate filters and filter banks derived from one-dimensional filters." IEEE Transactions on Signal Processing 41, no. 5 (1993): 1749–65. http://dx.doi.org/10.1109/78.215297.

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6

Damjanovic, Sanja, and Ljiljana Milic. "A family of IIR two-band orthonormal QMF filter banks." Serbian Journal of Electrical Engineering 1, no. 3 (2004): 45–56. http://dx.doi.org/10.2298/sjee0403045d.

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The design and characteristics of orthonormal two-band QMF filter banks, with perfect reconstruction and linear phase properties, are considered in this paper. The analysis and synthesis filter banks are implemented using all pass filters. Filters in the synthesis bank are ant causal and unstable filters and the block processing technique and an appropriate causal filter are applied for their real time application. The generated filter banks characteristics and the finite block length influence of the block processing technique applied for ant causal filtering are illustrated for a rectangular
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7

Guyette, Andrew C. "Intrinsically Switched Varactor-Tuned Filters and Filter Banks." IEEE Transactions on Microwave Theory and Techniques 60, no. 4 (2012): 1044–56. http://dx.doi.org/10.1109/tmtt.2012.2184131.

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8

Wackersreuther, G. "Some new aspects of filters for filter banks." IEEE Transactions on Acoustics, Speech, and Signal Processing 34, no. 5 (1986): 1182–200. http://dx.doi.org/10.1109/tassp.1986.1164942.

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9

Argenti, F., and E. Del Re. "Rational sampling filter banks based on IIR filters." IEEE Transactions on Signal Processing 46, no. 12 (1998): 3403–8. http://dx.doi.org/10.1109/78.735313.

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10

Fernandez-Vazquez, Alfonso, and Gordana Jovanovic Dolecek. "Generalized Chebyshev Filters for the Design of IIR Filters and Filter Banks." Circuits, Systems, and Signal Processing 33, no. 7 (2014): 2237–50. http://dx.doi.org/10.1007/s00034-014-9742-4.

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11

JAYAWARDENA, ASHOKA, and PAUL KWAN. "FINITE IMPULSE RESPONSE DOUBLE DENSITY FILTER BANKS AND FRAMELETS." International Journal of Wavelets, Multiresolution and Information Processing 11, no. 01 (2013): 1350010. http://dx.doi.org/10.1142/s0219691313500100.

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In this paper, we focus on the design of oversampled filter banks and the resulting framelets. The framelets obtained exhibit improved shift invariant properties over decimated wavelet transform. Shift invariance has applications in many areas, particularly denoising, coding and compression. Our contribution here is on filter bank completion. In addition, we propose novel factorization methods to design wavelet filters from given scaling filters.
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12

Shen, Zhengwei. "Construction of symmetric fractional over-complete wavelets and applications in image restoration." International Journal of Wavelets, Multiresolution and Information Processing 14, no. 04 (2016): 1650020. http://dx.doi.org/10.1142/s021969131650020x.

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In this work, a novel design scheme is proposed for the construction of symmetric fractional over-complete wavelet filter banks. We first provide solutions to the open problem of designing low-pass filters that are symmetric and of minimum-length. We then obtain the high high-pass filters via Toeplitz matrix factorization which is of less computational complexity than existing methods. The resulting filter banks are approximately shift-invariant. The designed filter banks are applied in image restoration that uses an analysis based model solved by split Bregman algorithms. The experiments show
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13

See-May Phoong and P. P. Vaidyanathan. "Time-varying filters and filter banks: some basic principles." IEEE Transactions on Signal Processing 44, no. 12 (1996): 2971–87. http://dx.doi.org/10.1109/78.553472.

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14

See-May Phoong and P. P. Vaidyanathan. "Factorability of lossless time-varying filters and filter banks." IEEE Transactions on Signal Processing 45, no. 8 (1997): 1971–86. http://dx.doi.org/10.1109/78.611189.

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15

Mintzer, F. "Filters for distortion-free two-band multirate filter banks." IEEE Transactions on Acoustics, Speech, and Signal Processing 33, no. 3 (1985): 626–30. http://dx.doi.org/10.1109/tassp.1985.1164587.

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16

LI, BAOBIN, and LIZHONG PENG. "PARAMETRIZATION FOR BALANCED MULTIFILTER BANKS." International Journal of Wavelets, Multiresolution and Information Processing 06, no. 04 (2008): 617–29. http://dx.doi.org/10.1142/s0219691308002537.

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The parametrization for two kinds of multifilter banks generating balanced multiwavelets is presented in this paper. In case (I), both lowpass and highpass filters are flipping filters. Filters in case (II) have different lengths, and both lowpass and highpass filters are symmetric (antisymmetric). Based on these parametric expressions, some balanced multiwavelets and analysis-ready multiwavelets (armlets) are constructed. Moreover, the application of these multiwavelets constructed in image processing is also studied.
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17

SHEN, ZHENG WEI. "A SUFFICIENT AND NECESSARY CONDITION FOR CONSTRUCTION OF 3-BAND DUAL TREE COMPLEX WAVELET." International Journal of Wavelets, Multiresolution and Information Processing 11, no. 03 (2013): 1350025. http://dx.doi.org/10.1142/s0219691313500252.

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To desire expectable applications in image processing, the construction of 3-band dual tree complex wavelet is a meaningful and constructive topic. In this paper, a sufficient and necessary condition 2π/3-periodic of phase difference between the prime and dual filter banks is proposed. With this condition, it is proposed that the phase function θl(ω) of wavelet filters can be uniquely determined by the phase function θ0(ω) of the scaling filters. Imposed on a necessary constraint to θ0(ω), phase function θl(ω) can be obtained which results in the analytical of the 3-band dual tree complex wave
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18

Kováč, Ondrej, and Ján Mihalík. "Banks of filters for implementation of DMWT of an image." Journal of Electrical Engineering 70, no. 6 (2019): 429–42. http://dx.doi.org/10.2478/jee-2019-0076.

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Abstract We describee some possible options for implementation of the Discrete multiwavelet transform (DMWT) of an image by using filter banks. DMWT can be implemented by two channel bank of vector filters which are made by cross-connected scalar filters. The properties of DGHM, CL, BiHermite and SA4 multiwavelets are here analyzed, and compression analysis for output normalization of DMWT is performed. A procedure is design of equivalent replacing of 2 channel multifilters bank by 4 channel bank of single scalar filters. Finally, we deal with a possible reduction and combinations of subbands
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19

VIJAYAKUMAR, ASHA, and G. ABHILASH. "SIMPLE STRUCTURES FOR UNIMODULAR FILTER BANKS WITH REGULARITY." Journal of Circuits, Systems and Computers 17, no. 03 (2008): 353–63. http://dx.doi.org/10.1142/s0218126608004447.

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In this paper we propose two new parameterizations for unimodular filter banks (UMFBs) by exploiting the canonical forms of the nilpotent matrix present in the factorization of UMFBs. A judicious choice of the canonical structure leads to simple implementation. The use of Discrete Walsh Hadamard Transform (DWHT) saves a major amount of multiplication. The presence of the nilpotent matrix also facilitates the design of filter banks with unequal length analysis and synthesis filters. The structures ensure perfect reconstruction (PR) with minimal delay in the McMillan sense. The free parameters c
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20

Zhang, Xi, and Toshinori Yoshikawa. "Design of orthonormal IIR wavelet filter banks using allpass filters." Signal Processing 78, no. 1 (1999): 91–100. http://dx.doi.org/10.1016/s0165-1684(99)00049-3.

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21

Faus, P., A. González, P. Zuccarello, and A. Vidal. "Oversampled nonuniform filter banks using quadratic optimisation and transition filters." Electronics Letters 43, no. 10 (2007): 594. http://dx.doi.org/10.1049/el:20070088.

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22

Han, Bin. "Symmetric tight framelet filter banks with three high-pass filters." Applied and Computational Harmonic Analysis 37, no. 1 (2014): 140–61. http://dx.doi.org/10.1016/j.acha.2013.11.001.

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23

Leavline, Epiphany Jebamalar, and Shunmugam Sutha. "Design of FIR Filters for Fast Multiscale Directional Filter Banks." International Journal of u- and e-Service, Science and Technology 7, no. 5 (2014): 221–34. http://dx.doi.org/10.14257/ijunesst.2014.7.5.20.

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24

Labeau, F. "Synthesis filters design for coding gain in oversampled filter banks." IEEE Signal Processing Letters 12, no. 10 (2005): 697–700. http://dx.doi.org/10.1109/lsp.2005.855549.

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25

Jiang, Qingtang. "Hexagonal tight frame filter banks with idealized high-pass filters." Advances in Computational Mathematics 31, no. 1-3 (2008): 215–36. http://dx.doi.org/10.1007/s10444-008-9085-4.

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26

Unser, Michael, and Murray Eden. "FIR approximations of inverse filters and perfect reconstruction filter banks." Signal Processing 36, no. 2 (1994): 163–74. http://dx.doi.org/10.1016/0165-1684(94)90205-4.

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27

Liang, Yu, Yu Guo, Chuan Hui Wu, and Yan Gao. "Envelope Analysis Based on the Combination of Morlet Wavelet and Kurtogram." Advanced Materials Research 490-495 (March 2012): 305–8. http://dx.doi.org/10.4028/www.scientific.net/amr.490-495.305.

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Envelope analysis based on the combination of complex Morlet wavelet and Kurtogram have advantages of automatic calculation of the center frequency and bandwidth of required band-pass filter. However, there are some drawbacks in the traditional algorithm, which include that the filter bandwidth is not -3dB bandwidth and the analysis frequency band covered by the filter-banks are inconsistent at different levels. A new algorithm is introduced in this paper. Through it, both optimal center frequency and bandwidth of band-pass filter in the envelop analysis can be obtained adaptively. Meanwhile,
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28

Wang, Ming, Jian Wan, and Yan Zhao. "Design of Linear Phase Nonuniform Filter Banks with Interpolated Prototype Filters." Procedia Engineering 29 (2012): 435–40. http://dx.doi.org/10.1016/j.proeng.2011.12.737.

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29

Marcilhac, B., Y. Lemaitre, D. Mansart, and J. C. Mage. "Development of superconductive microwave filters for mobile communications and filter banks." IEEE Transactions on Appiled Superconductivity 9, no. 2 (1999): 4014–17. http://dx.doi.org/10.1109/77.783908.

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30

Herley, C. "Boundary filters for finite-length signals and time-varying filter banks." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 42, no. 2 (1995): 102–14. http://dx.doi.org/10.1109/82.365349.

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31

Xiang-Gen Xia and B. W. Suter. "FIR paraunitary filter banks given several analysis filters: factorizations and constructions." IEEE Transactions on Signal Processing 44, no. 3 (1996): 720–23. http://dx.doi.org/10.1109/78.489048.

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32

Zhang, Xi, and Toshinori Yoshikawa. "Design for stable IIR perfect reconstruction filter banks using allpass filters." Electronics and Communications in Japan (Part II: Electronics) 81, no. 5 (1998): 24–32. http://dx.doi.org/10.1002/(sici)1520-6432(199805)81:5<24::aid-ecjb4>3.0.co;2-4.

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33

Vaidyanathan, P. P. "Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial." Proceedings of the IEEE 78, no. 1 (1990): 56–93. http://dx.doi.org/10.1109/5.52200.

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34

Wenbo, Wang, and Wang Dejung. "Theory and design of uniform filter banks using all-pass filters." Journal of Electronics (China) 10, no. 2 (1993): 107–15. http://dx.doi.org/10.1007/bf02684536.

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35

Fliege, N. J. "Half-band bandpass filters and filter banks with almost perfect reconstruction." Signal Processing 35, no. 1 (1994): 59–66. http://dx.doi.org/10.1016/0165-1684(94)90191-0.

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36

Zou, Qing Yun, and Qian Cao. "Balanced Orthogonal Multiwavelets with Symmetric/Antisymmetric Filter Banks." Applied Mechanics and Materials 333-335 (July 2013): 1273–76. http://dx.doi.org/10.4028/www.scientific.net/amm.333-335.1273.

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A class of the balanced orthogonal multiwavelets was constructed by defining a specific matrix filter structure, in which the multifilter banks of multiwavelets have had the desired symmetry. The multifilter banks have possessed symmetric/antisymmetric, which resembled the filters of scalar wavelet and have in favor of application, notwithstanding the multiwavelets constructed in this paper lose the linear phase, they have formed a new type of multiwavelets undoubtedly.
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37

Zou, Qing Yun, and Qian Cao. "Balanced Biorthogonal Multiwavelet with Symmetric/Antisymmetric Filter Banks." Applied Mechanics and Materials 568-570 (June 2014): 185–88. http://dx.doi.org/10.4028/www.scientific.net/amm.568-570.185.

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A class of the balanced biorthogonal multiwavelets was constructed by defining a specific matrix filter structure, in which the multifilter banks of multiwavelets have had the desired symmetry. Here, the multifilter banks have possess symmetric/antisymmetric, which resembled filters of scalar wavelet and have in favor of application, notwithstanding the multiwavelets constructed in this paper have lost the linear phase, so they have formed a new type of multiwavelets undoubtedly.
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38

Zhang, X., and H. Iwakura. "Design of QMF banks using allpass filters." Electronics Letters 31, no. 3 (1995): 172–74. http://dx.doi.org/10.1049/el:19950097.

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39

Dai, Ming Hong. "The Development of Wavelet Transform and its Application in Image Denoise." Advanced Materials Research 694-697 (May 2013): 2003–8. http://dx.doi.org/10.4028/www.scientific.net/amr.694-697.2003.

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The paper introduces Laplace pyramid, Ridgelet and Curvelet principle, structure and methods, and their denoising experimental studies. It also introduces the traditional direction filter of principle, structure and methodology, and the simulation experiments show that its image denoising PSNR is slightly lower than wavelet but denoising image visual quality is better than former. To that end, proposed a new direction filters that uniform direction filter banks and non-uniform direction filters, proved filter passband condition and related design and implementation issues were discussed. nonli
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40

Hamad, Rasha W. "Design and FPGA implementation of 11th order Efficient IIR Wavelet Filter Banks with Approximate Linear-phase." Academic Journal of Nawroz University 7, no. 4 (2018): 207. http://dx.doi.org/10.25007/ajnu.v7n4a291.

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In this paper. Bireciprocal Lattice Wave Digital Filters (BLWDFs) are utilized in an approximate linear-phase in pass-band design of order IIR wavelet filter banks (FBs). These filter banks are efficiently designed by replacement one of branches for (BLWDFs) by only a unit delay. The coefficients of the designed filter are achieved by simulating the IIR response suggested in [1]. The design is first simulated using Matlab programming in order to investigate the resulting wavelet filter properties and to find the suitable wordlength for the BLWDFs coefficients. FPGA implemtation of the proposed
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41

Hamad, Rasha W. "Design and FPGA implementation of 11th order Efficient IIR Wavelet Filter Banks with Approximate Linear-phase." Academic Journal of Nawroz University 7, no. 4 (2018): 207. http://dx.doi.org/10.25007/ajnu.v7n4a301.

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In this paper. Bireciprocal Lattice Wave Digital Filters (BLWDFs) are utilized in an approximate linear-phase in pass-band design of order IIR wavelet filter banks (FBs). These filter banks are efficiently designed by replacement one of branches for (BLWDFs) by only a unit delay. The coefficients of the designed filter are achieved by simulating the IIR response suggested in [1]. The design is first simulated using Matlab programming in order to investigate the resulting wavelet filter properties and to find the suitable wordlength for the BLWDFs coefficients. FPGA implemtation of the proposed
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42

Dehghani, M. J., R. Aravind, and K. M. M. Prabhu. "Design ofM-Channel IIR Uniform DFT Filter Banks Using Recursive Digital Filters." ETRI Journal 25, no. 5 (2003): 345–55. http://dx.doi.org/10.4218/etrij.03.0102.0501.

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43

Abhayaratne, Charith. "Reversible wavelet filter banks with side informationless spatially adaptive low-pass filters." Journal of Electronic Imaging 20, no. 3 (2011): 033012. http://dx.doi.org/10.1117/1.3624491.

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44

Harteneck, M., S. Weiss, and R. W. Stewart. "Design of near perfect reconstruction oversampled filter banks for subband adaptive filters." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 46, no. 8 (1999): 1081–85. http://dx.doi.org/10.1109/82.782056.

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45

Wada, Shigeo, and Shin-Ichi Takahashi. "Multichannel IIR filter banks composed of all-pass filters as construction elements." Electronics and Communications in Japan (Part III: Fundamental Electronic Science) 75, no. 9 (1992): 25–37. http://dx.doi.org/10.1002/ecjc.4430750903.

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46

Shih-Jen Yang, Ju-Hong Lee, and Bin-Chang Chieu. "Perfect-reconstruction filter banks having linear-phase FIR filters with equiripple response." IEEE Transactions on Signal Processing 46, no. 12 (1998): 3246–55. http://dx.doi.org/10.1109/78.735300.

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47

Kok, C. W., M. Ikehara, and T. Q. Nguyen. "Design and factorization of FIR paraunitary filter banks given several analysis filters." IEEE Transactions on Signal Processing 48, no. 7 (2000): 2157–61. http://dx.doi.org/10.1109/78.847799.

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48

Taskovski, Dimitar, Ljubica Koleva, Aleksandar Milchevski, and Vladimir Dimcev. "Near Perfect Reconstruction Filter Banks for Power Quality Analysis." Metrology and Measurement Systems 20, no. 3 (2013): 359–70. http://dx.doi.org/10.2478/mms-2013-0031.

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Abstract The wavelet transform has been successfully used in the area of power quality analysis. There are many published papers with methods for power quality disturbance classification or harmonics measurement, which use wavelet transform. However, the properties of the wavelet transform can drastically vary from the choice of the wavelet. In this paper we analyze the influence of the choice of the wavelet to the accuracy of the power quality classification method and to high frequency harmonics measurements. Additionally to the well known wavelet filters we introduce near perfect reconstruc
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49

YANG, GUOAN, and NANNING ZHENG. "AN OPTIMIZATION ALGORITHM FOR BIORTHOGONAL WAVELET FILTER BANKS DESIGN." International Journal of Wavelets, Multiresolution and Information Processing 06, no. 01 (2008): 51–63. http://dx.doi.org/10.1142/s0219691308002215.

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A new approach for designing the Biorthogonal Wavelet Filter Bank (BWFB) for the purpose of image compression is presented in this paper. The approach is broken into two steps. First, an optimal filter bank is designed in the theoretical sense, based on Vaidyanathan's coding gain criterion in the SubBand Coding (SBC) system. Then, the above filter bank is optimized based on the criterion of Peak Signal-to-Noise Ratio (PSNR) in the JPEG2000 image compression system, resulting in a BWFB in practical application sense. With the approach, a series of BWFBs for a specific class of applications rela
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50

Abdul Hameed, K. M., and Elizabeth Elias. "M-channel cosine modulated filter banks with linear phase analysis and synthesis filters." Signal Processing 86, no. 12 (2006): 3842–48. http://dx.doi.org/10.1016/j.sigpro.2006.03.022.

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