| 赵海军,陈毅红,贺春林,蒲斌.基于一种新的三模集的低通FIR数字滤波器设计[J].高技术通讯(中文),2023,33(6):581~590 |
| 基于一种新的三模集的低通FIR数字滤波器设计 |
| Design of low-pass FIR digital filter based on a new three moduli set |
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| DOI：10. 3772/ j. issn. 1002-0470. 2023. 06. 003 |
| 中文关键词: 低通有限脉冲响应（FIR）数字滤波器； 余数系统(RNS)； 三模集； 乘法-累加器单元； 脉冲响应； 量化误差 |
| 英文关键词: low-pass finite impulse response （FIR） digital filter, residue number system (RNS), three moduli set, multiplication accumulator unit, impulse response, quantization error |
| 基金项目: |
| 作者 | 单位 | | 赵海军 | (西华师范大学计算机学院南充 637009)
(物联网感知与大数据分析南充市重点实验室南充 637009) | | 陈毅红 | (西华师范大学计算机学院南充 637009)
(物联网感知与大数据分析南充市重点实验室南充 637009) | | 贺春林 | (西华师范大学计算机学院南充 637009)
(物联网感知与大数据分析南充市重点实验室南充 637009) | | 蒲斌 | (西华师范大学计算机学院南充 637009)
(物联网感知与大数据分析南充市重点实验室南充 637009) |
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| 中文摘要: |
| 本文对低通有限脉冲响应（FIR）数字滤波器的设计进行了研究；在对常用三模集和传统的具有脉冲响应系数的FIR数字滤波器分析的基础上，提出将一种新的三模集应用于低通FIR数字滤波器设计的新方法。该FIR滤波器由多个乘法-累加器单元构成，实现正向转换器、并行算术通道和逆向转换器的功能。正向转换器将一个二进制数编码成一个关于模集的余数表示的数，每个算术通道对模集的每个模进行模乘和累加，逆向转换器将一个余数表示的数解码为其等效的二进制数，算术通道以完全并行的架构工作，从而实现轻量化的计算和简单的结构；最后的仿真实验结果不仅验证了本文提出的设计方法的有效性，而且相比于传统的单向转换设计，本文提出的设计方法有更小的滤波器系数偏差和更好的频率响应等波纹特性。 |
| 英文摘要: |
| In this paper, the design of low-pass finite impulse response （FIR） digital filter is studied.Based on the analysis of common three moduli set and traditional FIR digital filter with impulse response coefficients, a new three moduli set is proposed for the design of low-pass FIR digital filter. The FIR filter is composed of multiple multiplication-accumulator units, which can realize the functions of a forward converter, parallel arithmetic channels and a reverse converter. The forward converter encodes a binary number into a residue represented number, with regard to the moduli set, each arithmetic channel requires modular multiplication and accumulation for each modulo of set, the reverse converter decodes a residue represented number into its equivalent binary number, the arithmetic channels are working in a completely parallel architecture, so as to realize the calculation of lightweight and simple structure. Finally, the simulation results not only verify the effectiveness of the proposed design method, but also show the proposed design method has smaller filter coefficient deviation and better frequency response ripple characteristics compared with the traditional one-way conversion design. |
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