濾波器外文翻譯-----用改進(jìn)的窗函數(shù)設(shè)計(jì)fir數(shù)字濾波器-其他專業(yè)(編輯修改稿)
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【文章內(nèi)容簡介】 (13) scCbBaA ???? ???? )()()( (14) p? For bandpass corrugated, s? For stopband corrugated. For the convenience of discussion, here take coefficient a, b, c greater than zero as constraints. This problem can be converted into linear programming problem [1012], formula (11), (12) (13) (14) can be as constraints. Through this after converting, problem solving, bee convenient. Formula (11) (13) and formula (12) (14) add relaxation variables respectively, punish variable transformation into standard linear programming equations [12] : pdcCbBaA ???? ????? 1)()()( （ 15） pecCbBaA ???? ????? 1)()()( （ 16） s fcCbBaA ???? ???? )()()( （ 17） sgcCbBaA ???? ????? )()()( （ 18） Including d, e, f, g, the greater than 0. The way of solving this problem can be solved by least square or iteration method. Calculate a, b, c, can determine the window function. According to the above process, this kind of the design of filter algorithm according to the following steps: Ⅰ etc. In frequency domain, and the interval take N points for the odd number of frequency domain, the sequence do discrete Fourier inverse transform, digital filters out the ideal sampling response units )(nhd Ⅱ . By formula (8) (9) (10) ask out respectively A )(? 、 B )(? 、 )(?C 。 Ⅲ . From the formula (11), (12) (13) (14) list optimization constraints. Ⅳ . Solving linear equations, find out a, b, c, so as to determine the optimal solution digital filter h(n)。 Ⅴ . Checking technology index whether meet the requirements. 4 application examples Design one low tong digital filters, its technical index is as follows: Bandpass cutoff frequency ?? ?p , Stopband cutoff frequency ?? ?s , passband ripple ?pR ,Stopband corrugated ?Rs . ???? ???? ps ,Cutoff frequency for ???? ??? spc ,Blackman window FIR digital filters for window length 61??? ?AN ,The length of Hamming window for 41. Hamming window and Blackman window with the FIR filters designed the range characteristics as shown in figure 1. With the modified window method design FIR filters as shown in figure 2. Figure 1 Hamming window and Blackman window design range characteristics Figure 2 improvement window range characteristics graph In figure 1 and figure 2 from the perspective of the filter, improve the frequency characteristics of the function of the window is flat bandpass, stopband have ripple。 Improve the window design cutoff frequency bandpass strictly ply with the design requirements, and traditional window method cutoff frequency is higher. Different lies in the transitional zone, improving window functions for transitional ? ? ,Strict and design requirements consistent, But the Hamming window and Blackman window for transitional ? ? Improved traditional window function algorithm of slightly lost window function. In the stopband attenuation window function method, improvement Hamming window method, and better Blackman window method in weak. 5 conclusion FIR digital filters with window function design method used, this paper adopts improved, and window function design method of linear programming design the algorithm FIR digital filters, design thinking clear effect is good. With the modified window design FIR filters strictly meet the design technology index, and traditional window function, they have their respective parative advantages and disadvantages of window functions, thus improving design FIR filter is feasible. References: [1] ChengPeiQing. Digital signal processing tutorial 3 edition [j]. Beijing: tsinghua university press, 2021:1395368. [2] DingYuMei. Digital signal processing, GaoXiQuan [j] 2 edition. Xian: xian university of electronic science and technology press, 2021:19515. [3] ChenMingJun, MaoZhangMei. Improve window function in the application of FIR digital filters design [J].journal of relays, 2021,35 (17) : 6567 [4] TianGuangXin, GaoLiZhi, SunChunLai, etc. Based on the window function method of frequency selective optimization design of FIR digital filters [J].journal of data acquisition and processing, 2021,23 (2) : 228232. [5] , H. S. Jamadani, Ashok Rao. Novel Window Functions For Dig ital Filter s: IEEE Trans 2021[ C] . [ s . l
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