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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
School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China
Tianjin Key Laboratory of Optoelectronic Detection Technology and System, Tianjin 300387, China
College of Electronic Information and Optical Engineering, Nankai University, Tianjin 300071, China
Author to whom correspondence should be addressed.
Algorithms 2018, 11(5), 77;
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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