Construction of Nonuniform DFT Modulated Filter Banks via Phase Modulation

ZHOU Fang; SHUI Penglang

doi:10.11999/JEIT170040

Volume 39 Issue 9

Sep. 2017

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Article Navigation > Journal of Electronics & Information Technology > 2017 > 39(9): 2169-2174

ZHOU Fang, SHUI Penglang. Construction of Nonuniform DFT Modulated Filter Banks via Phase Modulation[J]. Journal of Electronics & Information Technology, 2017, 39(9): 2169-2174. doi: 10.11999/JEIT170040

Citation:

ZHOU Fang, SHUI Penglang. Construction of Nonuniform DFT Modulated Filter Banks via Phase Modulation[J]. Journal of Electronics & Information Technology, 2017, 39(9): 2169-2174. doi: 10.11999/JEIT170040

Citation:

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Construction of Nonuniform DFT Modulated Filter Banks via Phase Modulation

doi: 10.11999/JEIT170040

ZHOU Fang¹,
SHUI Penglang²

Funds:

The National Natural Science Foundation of China (61261032)

Received Date: 2017-01-11
Rev Recd Date: 2017-04-12
Publish Date: 2017-09-19

Abstract

Abstract

Owing to its flexible frequency decomposition ability, nonuniform filter banks are widely applied to speech and image signal processing. However, the nonuniform Discrete Fourier Transform (DFT) modulated filter bank can not be constructed by directly merging certain subbands of the uniform one. In order to overcome this deficiency, a novel construction approach is proposed, in which the subband filters of the nonuniform filter bank are obtained by jointly employing the subband merging and phase modulation of the uniform one. The resultant nonuniform filter bank exhibits the very approximate overall performance as the uniform one. Moreover, the conditions are derived for the nonuniform DFT modulated filter banks to possess satisfactory frequency characteristics. Both the theoretical analysis and simulation results show the effectiveness of the proposed method.
- DFT modulated,
- Nonuniform filter bank,
- Subband merging,
- Phase modulation

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References(20)

References

AMBEDE A, SMITHA K G, and VINOD A P. Flexible low complexity uniform and nonuniform digital filter banks with high frequency resolution for multistandard radios[J]. IEEE Transactions on Very Large Scale Integration Systems, 2015, 23(4): 631-641. doi: 10.1109/TVLSI.2014.2317811.

AKKARAKARAN S and VAIDYANATHAN P P. Nonuniform filter banks: New results and open problems[J]. Studies in Computational Mathematics, 2003, 10: 259-301. doi: 10.1016/S1570-579X(03)80038-1.

KUMAR A, SINGH G K, and ANURAG S. An optimized cosine-modulated nonuniform filter bank design for subband coding of ECG signal[J]. Journal of King Saud University- Engineering Sciences, 2015, 27(2): 158-169. doi: 10.1016/j. jksues.2013.10.001.

李冰, 郑瑾, 葛临东. 基于非均匀滤波器组的动态信道化滤波[J]. 电子与信息学报, 2007, 29(10): 2396-2400. doi: 10.3724/ SP.J.1146.2006.00455.

LI Bing, ZHENG Jin, and GE Lindong. Dynamic channelization based on nonuniform filterbanks[J]. Journal of Electronics Information Technology, 2007, 29(10): 2396-2400. doi: 10.3724/SP.J.1146.2006.00455.

JAIN A and GOEL A. A multiobjective optimization method for designing M-channel NPR cosine modulated filter bank for image compression[J]. Engineering, 2015, 7(2): 93-100. doi: 10.4236/eng.2015.72008.

JIANG J Z, SHUI P L, and ZHANG Z J. Design of oversampled DFT-modulated filter banks via modified Newtons method[J]. IET Signal Processing, 2011, 5(3): 271-280. doi: 10.1049/iet-spr.2009.0198.

AVCI K and GUMUSSOY E. Design of exponential window based M-channel cosine modulated filter banks[C]. Signal Processing and Communication Application Conference, Hammamet, Turkey, 2016: 845-848. doi: 10.1109/SIU.2016. 7495872.

LIANG L L, LIU H, and WANG F P. Design of shift- invariant nonuniform cosine-modulated filter bank with arbitrary integer sampling factors[J]. Digital Signal Processing, 2016, 53: 41-50. doi: 10.1016/j.dsp.2016.03.005.

LI J L, NGUYEN T Q, and TANTARATANA S. A simple design method for near-perfect-reconstruction nonuniform filter banks[J]. IEEE Transactions on Signal Processing, 1997, 45(8): 2105-2109. doi: 10.1109/ACSSC.1994.471613.

蒋俊正, 江庆, 欧阳缮. 一种设计近似完全重构非均匀余弦调制滤波器组的新算法[J]. 电子与信息学报, 2016, 38(9): 2385-2390. doi: 10.11999/JEIT151260.

JIANG J Z, JIANG Q, and OUYANG S. Novel method for designing near-perfect-reconstruction nonuniform cosine modulated filter banks[J]. Journal of Electronics ＆ Information Technology, 2016, 38(9): 2385-2390. doi: 10.11999/JEIT151260.

DENG Y, MATHEWS V J, and BOROUJENY B F. Low-delay nonuniform pseudo-QMF banks with application to speech enhancement[J]. IEEE Transactions on Signal Processing, 2007, 55(5): 2110-2121. doi: 10.1109/TSP. 2007.892707.

FANG L, ZHONG W, and ZHANG Q. Design of M-channel linear-phase non-uniform filter banks with arbitrary rational sampling factors[J]. IET Signal Processing, 2016, 10(2): 106-114. doi: 10.1049/iet-spr.2015.0075.

LING B W K, HO C Y F, TEO K L, et al. Optimal design of cosine modulated nonuniform linear phase FIR filter bank via both stretching and shifting frequency response of single prototype filter[J]. IEEE Transactions on Signal Processing, 2014, 62(10): 2517-2530. doi: 10.1109/TSP.2014.2312326.

ALTENBACH F, LOLLMANN H W, and MATHAR R. Robust equalizer design for allpass transformed DFT filter banks with LTI property[C]. IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, Istanbul, Turkey, 2010: 847-851. doi: 10.1109/PIMRC.2010. 5672029.

BREGOVIC R, DUMITRESCU B, and SARAMAKI T. An efficient method for designing low-delay nonuniform oversampled M-channel filterbanks[C]. International Symposium on Image and Signal Processing, Istanbul, Turkey, 2007: 58-62. doi: 10.1109/ISPA.2007.4383664.

LOLLMANN H W and VARY P. Least-squares of DFT filter-banks based on allpass tranformation of higher order[J]. IEEE Transactions on Signal Processing, 2010, 58(4): 2393-2398. doi: 10.1109/TSP.2009.2039838.

LOLLMANN H W, DARTMANN G, and VARY P. Constrained design of allpass transformed DFT filter-banks by quadratic programming[C]. IEEE International Conference on Acoustics, Speech, and Signal Processing, Kyoto, Japan, 2012: 3481-3484. doi: 10.1109/ICASSP.2012. 6288666.

SHUI P L. Image denoising using 2-D separable oversampled DFT modulated filter banks[J]. IET Image Processing, 2009, 3(3): 163-173. doi: 10.1049/iet-ipr.2007.0218.

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