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The formulation of criteria of BIBO stability of 3rd-order IIR digital filters in space of coefficients of a denominator of transfer function

机译：传递函数分母系数空间中三阶IIR数字滤波器的BIBO稳定性准则的制定

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Criterion for the BIBO stability of the IIR digital filters is well known. IIR filter is BIBO stable if and only if all of its poles are strictly inside the unit circle in the complex z-plane. To analyze the stability of biquad filters in the space of coefficients is constructed the famous “triangle of stability”. In this paper, this criterion extends on third order IIR digital filters.

机译：IIR数字滤波器的BIBO稳定性的标准是众所周知的。如果且仅当其所有极点都严格位于复z平面的单位圆内时，IIR滤波器才是BIBO稳定的。为了分析双二阶滤波器在系数空间中的稳定性，构造了著名的“稳定性三角形”。在本文中，此标准扩展到三阶IIR数字滤波器。

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《IEEE East-West Design Test Symposium》|2014年|1-3|共3页
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Lesnikov V.; Naumovich T.; Chastikov A.;
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IIR filters; biquadratic filters; stability; transfer functions; BIBO stability; IIR digital filters; biquad filters; transfer function denominator; triangle of stability; Digital filters; Equations; IIR filters; Stability criteria; Transfer functions;

机译：IIR滤波器;双二次滤波器;稳定性;传递函数; BIBO稳定性; IIR数字滤波器;双二阶滤波器;传递函数分母;稳定性三角形;数字滤波器;方程; IIR滤波器;稳定性判据;传递函数;

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专利

1. DESIGN OF OPTIMUM IIR LOW-PASS FILTERS WITH UNEQUAL NUMERATOR AND DENOMINATOR ORDERS OF THE TRANSFER FUNCTION [J] . F. WYSOCKA-SCHILLAK Kwartalnik Elektroniki i Telekomunikacji . 1999,第1期

机译：传递函数不等式和分母阶次的最优IIR低通滤波器设计
2. A Novel Diversity-Controlled Genetic Algorithm for Optimization of BIBO Stable Digital IF Filters Over CSD Multiplier Coefficient Space [J] . Yifan Wu, Behrouz Nowrouzian, Syed Bokhari Journal of Computers . 2010,第6期

机译：一种新型多样性控制遗传算法，用于优化BIBO稳定数字，如果CSD乘数系数空间滤波器
3. An Algorithm for Obtaining Coefficients of Transfer Function of Digital Filters from the Transfer Function of Analog Filters [J] . Bozidar M. Djurich, Goran Z. Stancich AEU: Archiv fur Elektronik und Ubertragungstechnik: Electronic and Communication . 1998,第6期

机译：从模拟滤波器的传递函数中获取数字滤波器的传递函数系数的算法
4. The formulation of criteria of BIBO stability of 3rd-order IIR digital filters in space of coefficients of a denominator of transfer function [C] . Lesnikov V., Naumovich T., Chastikov A. East-West Design Test Symposium . 2014

机译：三阶IIR数字滤波器Bibo稳定性标准在转印函数分母的系数空间中的3阶IIR数字滤波器
5. Design and discrete optimization of BIBO stable FRM digital filters incorporating IIR digital interpolation subfilters. [D] . Bokhari, Syed Baqir. 2010

机译：具有IIR数字内插子滤波器的BIBO稳定FRM数字滤波器的设计和离散优化。
6. Digital IIR Filters Design Using Differential Evolution Algorithm with a Controllable Probabilistic Population Size [O] . Wu Zhu, Jian-an Fang, Yang Tang, 2009

机译：使用具有可控制概率种群大小的差分进化算法设计数字IIR滤波器
7. Integrated Design of IIR Variable Fractional Delay Digital Filters with Variable and Fixed Denominators [O] . Hon Keung, Aimin Jiang 2011

机译：具有可变和固定分母的IIR可变分数延迟数字滤波器的集成设计

The formulation of criteria of BIBO stability of 3rd-order IIR digital filters in space of coefficients of a denominator of transfer function

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