The sampling of the z-plane due to the quantization of the digital filter coefficients

机译：由于数字滤波器系数的量化，对z平面的采样

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Zeros and poles of IIR digital filters, whose coefficients have finite bit width, cannot occupy an arbitrary position in the z-plane. The paper studies the process of forming the geometric place of zeros and poles in such conditions. It is taken into consideration that the zeros and poles are elements of the set of algebraic numbers of the corresponding degree. The process under consideration is interpreted as the sampling of the z-plane.

机译：IIR数字滤波器的零点和极点的系数具有有限的位宽，不能在z平面中占据任意位置。本文研究了在这种条件下形成零点和极点的几何位置的过程。考虑到零点和极点是相应度数的一组代数数的元素。所考虑的过程被解释为z平面的采样。

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《Mediterranean Conference on Embedded Computing》|2018年|1-4|共4页
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Vladislav Lesnikov; Tatiana Naumovich; Alexander Chastikov;
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Digital filters; Poles and zeros; Finite element analysis; IIR filters; Embedded computing; Quantization (signal);

机译：数字滤波器;零点;有限元分析; IIR滤波器;嵌入式计算;量化（信号）;

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专利

1. Design of linear-phase direct-form FIR digital filters with quantized coefficients using error spectrum shaping [J] . Nielsen J.J. IEEE Transactions on Acoustics, Speech, and Signal Processing . 1989,第7期

机译：利用误差谱整形设计具有量化系数的线性相位直接形式FIR数字滤波器
2. Design and analysis of recursive periodically time-varying digital filters with highly quantized coefficients [J] . Kitson F.L., Griffiths L.J. IEEE Transactions on Acoustics, Speech, and Signal Processing . 1988,第5期

机译：具有高量化系数的递归周期性时变数字滤波器的设计与分析
3. Design of digital filters with severely quantized coefficients [J] . Handjifotiou A., Appleby D.G. Radio and Electronic Engineer . 1976,第1期

机译：具有严格量化系数的数字滤波器的设计
4. Topography of z-plane Which is Discretized Due to Quantization of Coefficients of Digital Biquad Filters [C] . V. Lesnikov, T. Naumovich, A. Chastikov International Siberian Conference on Control and Communications . 2016

机译：由于数码各种滤波器系数的量化而离散化的Z平面的地形
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. Estimation of PM10 Levels and Sources in Air Quality Networks by Digital Analysis of Smartphone Camera Images Taken from Samples Deposited on Filters [O] . Selena Carretero-Peña, Lorenzo Calvo Blázquez, Eduardo Pinilla-Gil 2019

机译：通过对沉积在过滤器上样品的智能手机摄像头图像进行数字分析估算空气质量网络中的PM10含量和来源
7. Research of the Sensitivity of the Quantized Coefficients of a Digital Bandpass Filters with Frequency Sampling [O] . Rybka Serhii Volodуmуrovуch, Korolov Andrii Pavlovуch, Varava Ivan Andriiovуch 2020

机译：用频率采样的数字带通滤波器量化系数的灵敏度研究
8. Quantization and Sampling in Non-Recursive Digital Filtering and in Digital Correlation [R] . Tufts, D. W., Knight, W. C. 1972

机译：非递归数字滤波和数字相关中的量化和采样

The sampling of the z-plane due to the quantization of the digital filter coefficients

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