Elimination of limit cycles in floating-point recursive digital filters with error feedback

机译：消除具有错误反馈的浮点递归数字滤波器中的极限循环

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A sufficient criterion for the absence of zero-input limit cycles in recursive floating-point direct form filters is presented. Both the unlimited exponent range and underflow limit cycles are considered. For the case that the underflow limit cycles are not eliminated, an RMS bound is given. It is shown that the limit cycle behaviour of the filter is directly related to the maximum gain of the error transfer function. Error feedback can be used to shape the transfer function either to eliminate limit cycles completely or to reduce their amplitudes. The application of error feedback seems particularly attractive for short-wordlength implementations.

机译：呈现了足够的reant-point直接形成滤波器中缺失零输入限制循环的标准。考虑无限指数范围和下溢周期。对于未消除下溢限制循环的情况，给出了RMS绑定。结果表明，滤波器的极限循环行为与误差传递函数的最大增益直接相关。错误反馈可用于塑造传送功能，可以完全消除极限周期或减少其幅度。错误反馈的应用似乎特别有吸引力，对于短字长度实现。

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《Midwest Symposium on Circuits and Systems》|1991年||共4页
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Laakso T.; Zeng B.; Institute of Electric and Electronic Engineer;
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中图分类自动化技术、计算机技术;
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1. Elimination of limit cycles in floating-point implementations ofdirect-form recursive digital filters [J] . Laakso T., Zeng B., Hartimo I., IEEE Transactions on Circuits and Systems. II, Express Briefs . 1994,第4期

机译：消除直接形式递归数字滤波器浮点实现中的极限环
2. Elimination of limit cycles in floating-point implementations of direct-form recursive digital filters [J] . Laakso T., Zeng B. IEEE Transactions on Circuits and Systems. II . 1994,第4期

机译：消除直接形式递归数字滤波器的浮点实现中的极限环
3. Error Spectrum Shaping in 2-D Recursive Digital Filters Using Error Feedback with Quadrant-Symmetric or Antisymmetric [J] . Takao Hinamoto, Naoki Kuroda, Toshitaka Kuma Electronics and communications in Japan. Part 3 . 1999,第2期

机译：使用具有象限对称或反对称误差反馈的二维递归数字滤波器中的误差谱整形
4. Elimination of limit cycles in floating-point recursive digital filters with error feedback [C] . Laakso, T., Zeng, . 1991

机译：消除带误差反馈的浮点递归数字滤波器的极限环
5. Design of high throughput recursive and non-recursive digital filters in one and two dimensions with Canonic Signed Digit coefficients and sub-expression elimination using Genetic Algorithm. [D] . Williams, Tom. 2006

机译：一维和二维高通量递归和非递归数字滤波器的设计，采用规范符号数字系数并使用遗传算法消除子表达式。
6. Phase Response Design of Recursive All-Pass Digital Filters Using a Modified PSO Algorithm [O] . Wei-Der Chang 2015

机译：改进的PSO算法设计递归全通数字滤波器的相位响应设计
7. A deterministic analysis of limit cycle oscillations in recursive digital filters due to quantization [O] . Hess Sigurd 1970

机译：对归因于量化的递归数字滤波器中极限循环振荡的确定性分析
8. Elimination of Limit Cycles in Direct Form Digital Filters Using Error Feedback [R] . Laakso, T. I. 1991

机译：利用误差反馈消除直接形式数字滤波器中的极限环

Elimination of limit cycles in floating-point recursive digital filters with error feedback

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