二維線(xiàn)性相位FIR數(shù)字濾波器的優(yōu)化設(shè)計(jì)
Optimum Design of 2-D Linear-Phase FIR Digital Filters
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摘要: 該文提出了一種用神經(jīng)網(wǎng)絡(luò)算法來(lái)設(shè)計(jì)二維線(xiàn)性相位數(shù)字濾波器的新方法。通過(guò)分析二維FIR線(xiàn)性相位濾波器的幅頻響應(yīng)特性，建立了神經(jīng)網(wǎng)絡(luò)算法。根據(jù)給定的幅頻響應(yīng)指標(biāo)，按該算法可獲得濾波器系數(shù)。為保證該算法的穩(wěn)定性，提出并證明了該算法的收斂定理。文中給出了圓對(duì)稱(chēng)和矩形對(duì)稱(chēng)二維低通線(xiàn)性相位FIR數(shù)字濾波器優(yōu)化設(shè)計(jì)實(shí)例。計(jì)算機(jī)仿真結(jié)果表明由該方法設(shè)計(jì)的二維數(shù)字濾波器，通帶和阻帶范圍波動(dòng)小，所需計(jì)算量非常少，穩(wěn)定性強(qiáng)，因而是一種優(yōu)異的設(shè)計(jì)方法。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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