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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
Received: 15 April 2018 / Revised: 8 May 2018 / Accepted: 21 May 2018 / Published: 22 May 2018
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. View Full-Text
Keywords: cosine-modulated; filter banks; FIR; sparse cosine-modulated; filter banks; FIR; sparse
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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.

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