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

蒋俊正; 江庆; 欧阳缮

doi:10.11999/JEIT151260

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

doi: 10.11999/JEIT151260

基金项目:

国家自然科学基金(61261032, 61371186)，广西自然科学基金(2013GXNSFBA019264)

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- 被引次数: 0
出版历程
- 收稿日期: 2015-11-09
- 修回日期: 2016-06-15
- 刊出日期: 2016-09-19

Novel Method for Designing Near-perfect-reconstruction Nonuniform Cosine Modulated Filter Banks

Funds:

The National Natural Science Foundation of China (61261032, 61371186), Guangxi Natural Science Foundation (2013GXNSFBA019264)

摘要

摘要: 该文提出了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。针对现有合并算法中非均匀滤波器组性能无法直接控制优化的缺点，新算法把非均匀滤波器组的设计问题归纳为一个关于原型滤波器的无约束优化问题，其中目标函数是非均匀滤波器组传递失真与原型滤波器阻带能量的加权和，最后利用线性迭代算法求解该优化问题。理论分析和数值实验表明，新算法获得的非均匀余弦调制滤波器组比现有算法设计的滤波器组整体性能更佳。
- 非均匀滤波器组 /
- 余弦调制 /
- 近似完全重构 /
- 线性迭代算法 /
- 无约束优化
Abstract: This paper proposes a new algorithm to design near-perfect-reconstruction nonuniform Cosine modulated filter banks. Due to the infeasibility of directly controlling the performance of Nonuniform Filter Banks (NUFBs) in the existing combined algorithms, the design problem boils down to an unconstrained optimization problem with respect to the Prototype Filter (PF), which minimizes a weighted sum of the transfer function distortion of the NUFBs and the stopband energy of the PF. The optimization problem can be efficiently solved by utilizing linearizing iterative approach. The theoretical analysis and numerical experiments are carried out to show that compared with the existing methods, the proposed method can lead to NUFBs with better overall performance.
- Nonuniform filter banks /
- Cosine modulation /
- Near-perfect-reconstruction /
- Linearizing iterative approach /
- Unconstrained optimization

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参考文献(23)

VAIDYANATHAN P P. Multirate Systems and Filter Banks[M]. Englewood Cliffs, N.J.: Prentice Hall, 1993: 188-272.

蒋俊正, 周芳, 水鹏朗. 基于线性迭代的DFT调制滤波器组的设计算法[J]. 电路与系统学报, 2012, 17(1): 71-74. doi: 10.3969/j.issn.1007-0249.2012.01.013.

JIANG J Z, ZHOU F, and SHUI P L. Design of DFT modulated filter banks via linearizing iterative approach[J]. Journal of Circuits and Systems, 2012, 17(1): 71-74. doi: 10.3969/j.issn.1007-0249.2012.01.013.

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.

RAJAPAKSHA N, MADANAYAKE A, and BRUTON L T. 2D space-time wave-digital multi-fan filter banks for signals consisting of multiple plane waves[J]. Multidimensional Systems and Signal Processing, 2014, 25(1): 17-39. doi: 10.1007 /s11045-012-0183-6.

SCHWERDTFEGER T, VELTEN J, and KUMMERT A. A multidimensional wave digital filter bank for video-based motion analysis[J]. Multidimensional Systems and Signal Processing, 2014, 25(2): 295-311. doi: 10.1007/s11045-012- 0221-4.

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 (VLSI) Systems, 2015, 23(4): 631-641. doi: 10.1109/TVLSI.2014.2317811.

JAWAS N, ARIFIN A Z, WIJAYA A Y, et al. Non-uniform decimation-free directional filter bank using histogram analysis for image enhancement[C]. International Conference on Information, Communication Technology and System (ICTS), Surabaya, 2014: 147-152. doi: 10.1109/ICTS.2014. 7010574.

蒋俊正, 王小龙, 水鹏朗. 一种设计DFT调制滤波器组的新算法[J]. 西安电子科技大学学报, 2010, 37(4): 689-693. doi: 10.3969/j.issn.1001-2400.2010.04.019.

JIANG J Z, WANG X L, and SHUI P L. Novel method for designing DFT modulated filter banks[J]. Journal of Xidian University, 2010, 37(4): 689-693. doi: 10.3969/j.issn.1001- 2400.2010.04.019.

钟微, 谢雪梅, 石光明. 一种灵活的图像频谱分割与去噪方法[J]. 西安电子科技大学学报, 2007, 34(6): 935-938. doi: 10.3969/j.issn.1001-2400.2007.06.017.

ZHONG W, XIE X M, and SHI G M. Image spectrum segmentation and de-noising based on multi-channel nonuniform filter banks[J]. Journal of Xidian University, 2007, 34(6): 935-938. doi: 10.3969/j.issn.1001-2400.2007.06. 017.

HOANG P Q and VAIDYANATHAN P P. Nonuniform multirate filter banks: theory and design[C]. IEEE International Symposium on Circuits and Systems, Portland, 1989: 371-374. doi: 10.1109/ISCAS.1989.100368.

COX R V. The design of uniformly and nonuniformly spaced pseudoquadrature mirror filter[J]. IEEE Transactions on Acoustics, Speech and Signal Processing, 1986, 34(5): 1090-1096. doi: 10.1109/TASSP.1986.1164945.

LI J L, TRUONG Q N, and SAWASD T. A simple design method for near-perfect-reconstruction nonuniform filter banks[J]. IEEE Transactions on Signal Processing, 1997, 45(8): 2105-2109. doi: 10.1109/78.611222.

MANEESHA K and CHRIS PREMA S. A channel combiner approach for the design of near perfect reconstruction non uniform filter banks[C]. International Conference on Communications and Signal Processing, Melmaruvathur, 2014: 419-423. doi: 10.1109/ICCSP.2014.6949875.

WILBUR M R, DAVIDSON T N, and REILLY J P. Efficient design of oversampled NPR GDFT filter banks[J]. IEEE Transactions on Signal Processing, 2004, 52(7): 1947-1963. doi: 10.1109/TSP.2004.828936.

JIANG J Z, OUYANG S, and ZHOU F. Design of NPR DFT- modulated filter banks via iterative updating algorithm[J]. Circuits Systems Signal Processing, 2013, 32(3): 1351-1362. doi: 10.1007/s00034-012-9515-x.

ZHANG Z J. Efficient design of cosine modulated filter banks based on gradient information[J]. IEEE Signal Processing Letters, 2007, 14(12): 940-943. doi: 10.1109/LSP.2007. 906624.

CHEN D, QU D M, JIANG T, et al. Prototype filter optimization to minimize stopband energy with NPR constraint for filter bank multicarrier modulation systems[J]. IEEE Transactions on Signal Processing, 2013, 61(1): 159-169. doi: 10.1109/TSP.2012.2222397.

KUMAR A, SINGH G K, and ANURAG S. Design of nearly perfect reconstructed non-uniform filter bank by constrained equiripple FIR technique[J]. Applied Soft Computing, 2013, 1(1): 353-360. doi: 10.1016/j.asoc.2012.08.024.

XIE X M, CHAN S C, and YUK T I. Design of perfect- reconstruction nonuniform recombination filter banks with flexible rational sampling factors[J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 2005, 52(9): 1965-1981. doi: 10.1109/TCSI.2005.852009.

CHERUBINI G, ELEFTHERIOU E, and OLCER S. Filtered multitone modulation for very high-speed digital subscriber lines[J]. IEEE Journal on Selected Areas in Communications, 2002, 20(5): 1016-1028. doi: 10.1109/JSAC.2002.1007382.

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