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| Optimum Design of 2-D Linear-Phase FIR Digital Filters |
| Wang Xiao-hua①②; He Yi-gang②; Peng Yu-lou③ |
| ①Electrical and Infomational Engineering College, Changsha University of Science & Technology, Changsha 410077, China; ②Electrical and Infomational Engineering College, Hunan University, Changsha 410082, China;③Computer and Communication College, Changsha University of Sience & Tchnology, Changsha 410077,China |
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Abstract This paper provides a new design approach based on a Neural Networks Algorithm(NNA). According to the amplitude-frequency response characteristics of 2-D FIR linear-phase filters ,the NNA is established .Using the NNA,the designed filter coefficients can be obtained from the specified amplitude-frequency responses.To ensure stability of the NNA, the convergence theorem of the NNA is presented and proved. Two examples including circularly-symmetric and quadrately-symmetric 2-D lowpass linear-phase FIR filtsrs are also given to illustrate the effectiveness of the NNA-based design approach,and the results show that the ripple is considerably small in passband and in stopband,and the NNA-based method is of strong stability and requires significantly little amount of computations.Therefore,the optimal design approach is effective and excellent in the design field of 2-D linear phase FIR digital filters.
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Received: 01 June 2004
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2005, Vol. 27 
