caa a22 4500 606205276 CHVBK 20210128101006.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s00034-014-9955-6 doi (NATIONALLICENCE)springer-10.1007/s00034-014-9955-6 An Extrapolated Impulse Response Filter Design with Sparse Coefficients Based on a Novel Linear Approximation of Matrix [Elektronische Daten] [Hao Wang, Xinmin Cheng, Peng Song, Ling Yu, Wenjun Hu, Li Zhao] A novel method of linear approximation of a matrix is proposed for designing the linear-phase and non-linear-phase extrapolated impulse response (EIR) filters. There are zero-valued and one-valued coefficients in the scale vectors of the proposed EIR filters. These zero-valued coefficients do not require multipliers or adders, and these one-valued coefficients do not require multipliers, in the filter implementation. Additionally, the optimal design of the EIR filters in the mini-max sense and the least-square sense by the iterative gradient searching (IGS) technique is investigated. In implementing the IGS technique, the original EIR filter, the principal component analysis based EIR filter and the proposed EIR filter are set as the initial solutions, separately. If the proposed EIR filter is set as the initial solution, the IGS technique can synthesize the prototype finite impulse response (FIR) filter satisfactorily, with the lowest hardware implementation complexity. Further, experimental comparison of the proposed EIR method with the two most popular non-EIR low-complexity FIR filter design methods also indicates some superiority of the proposed EIR method. Finally, the proposed method of linear approximation of a matrix may also be useful in other areas of signal processing. Springer Science+Business Media New York, 2014 Finite impulse response filter nationallicence Extrapolated impulse response filter nationallicence Low-complexity nationallicence Linear approximation nationallicence Sparse coefficient nationallicence Wang Hao School of Communication Engineering, Hangzhou Dianzi University, 310018, Hangzhou, Zhejiang, People's Republic of China aut Cheng Xinmin School of Information Engineering, Huzhou Teachers' College, 313000, Huzhou, Zhejiang, People's Republic of China aut Song Peng School of Information Science and Engineering, Southeast University, Room 204, Jianxiong Building, 210096, Nanjing, Jiangsu, People's Republic of China aut Yu Ling School of Information Science and Engineering, Southeast University, Room 204, Jianxiong Building, 210096, Nanjing, Jiangsu, People's Republic of China aut Hu Wenjun School of Information Engineering, Huzhou Teachers' College, 313000, Huzhou, Zhejiang, People's Republic of China aut Zhao Li School of Information Science and Engineering, Southeast University, Room 313, Jianxiong Building, 210096, Nanjing, Jiangsu, People's Republic of China aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/7(2015-07-01), 2335-2361 0278-081X 34:7<2335 2015 34 34 https://doi.org/10.1007/s00034-014-9955-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-014-9955-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Hao School of Communication Engineering, Hangzhou Dianzi University, 310018, Hangzhou, Zhejiang, People's Republic of China aut NATIONALLICENCE 700 1- Cheng Xinmin School of Information Engineering, Huzhou Teachers' College, 313000, Huzhou, Zhejiang, People's Republic of China aut NATIONALLICENCE 700 1- Song Peng School of Information Science and Engineering, Southeast University, Room 204, Jianxiong Building, 210096, Nanjing, Jiangsu, People's Republic of China aut NATIONALLICENCE 700 1- Yu Ling School of Information Science and Engineering, Southeast University, Room 204, Jianxiong Building, 210096, Nanjing, Jiangsu, People's Republic of China aut NATIONALLICENCE 700 1- Hu Wenjun School of Information Engineering, Huzhou Teachers' College, 313000, Huzhou, Zhejiang, People's Republic of China aut NATIONALLICENCE 700 1- Zhao Li School of Information Science and Engineering, Southeast University, Room 313, Jianxiong Building, 210096, Nanjing, Jiangsu, People's Republic of China aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/7(2015-07-01), 2335-2361 0278-081X 34:7<2335 2015 34 34