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Algorithms
Volume 11
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10.3390/a11050077
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Article

A Novel Design of Sparse Prototype Filter for Nearly Perfect Reconstruction Cosine-Modulated Filter Banks

by
Wei Xu
1,2,
Yi Li
1,
Jinghong Miao
1,*,
Jiaxiang Zhao
3 and
Xin Gao
1
1
School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China
2
Tianjin Key Laboratory of Optoelectronic Detection Technology and System, Tianjin 300387, China
3
College of Electronic Information and Optical Engineering, Nankai University, Tianjin 300071, China
*
Author to whom correspondence should be addressed.
Algorithms 2018, 11(5), 77; https://doi.org/10.3390/a11050077
Submission received: 15 April 2018 / Revised: 8 May 2018 / Accepted: 21 May 2018 / Published: 22 May 2018
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Abstract

Cosine-modulated filter banks play a major role in digital signal processing. Sparse FIR filter banks have lower implementation complexity than full filter banks, while keeping a good performance level. This paper presents a fast design paradigm for sparse nearly perfect-reconstruction (NPR) cosine-modulated filter banks. First, an approximation function is introduced to reduce the non-convex quadratically constrained optimization problem to a linearly constrained optimization problem. Then, the desired sparse linear phase FIR prototype filter is derived through the orthogonal matching pursuit (OMP) performed under the weighted l 2 norm. The simulation results demonstrate that the proposed scheme is an effective paradigm to design sparse NPR cosine-modulated filter banks.
Keywords: cosine-modulated; filter banks; FIR; sparse cosine-modulated; filter banks; FIR; sparse

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MDPI and ACS Style

Xu, W.; Li, Y.; Miao, J.; Zhao, J.; Gao, X. A Novel Design of Sparse Prototype Filter for Nearly Perfect Reconstruction Cosine-Modulated Filter Banks. Algorithms 2018, 11, 77. https://doi.org/10.3390/a11050077

AMA Style

Xu W, Li Y, Miao J, Zhao J, Gao X. A Novel Design of Sparse Prototype Filter for Nearly Perfect Reconstruction Cosine-Modulated Filter Banks. Algorithms. 2018; 11(5):77. https://doi.org/10.3390/a11050077

Chicago/Turabian Style

Xu, Wei, Yi Li, Jinghong Miao, Jiaxiang Zhao, and Xin Gao. 2018. "A Novel Design of Sparse Prototype Filter for Nearly Perfect Reconstruction Cosine-Modulated Filter Banks" Algorithms 11, no. 5: 77. https://doi.org/10.3390/a11050077

APA Style

Xu, W., Li, Y., Miao, J., Zhao, J., & Gao, X. (2018). A Novel Design of Sparse Prototype Filter for Nearly Perfect Reconstruction Cosine-Modulated Filter Banks. Algorithms, 11(5), 77. https://doi.org/10.3390/a11050077

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