Necessary and Sufficient Condition for a Set of Maximally Decimated Integers to be Incompatible

Bingo Wing-Kuen Ling; Charlotte Yuk-Fan Ho; Jiangzhong Cao; Qingyun Dai

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Necessary and Sufficient Condition for a Set of Maximally Decimated Integers to be Incompatible

机译：一组最大抽取整数不兼容的充要条件

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摘要

This paper derives a necessary and sufficient condition for a set of maximally decimated integers to be incompatible. The obtained result is useful to test whether a maximally decimated nonuniform filter bank achieves the exact perfect reconstruction or not.

机译：本文推导了一组最大抽取整数不兼容的充要条件。获得的结果对于测试最大抽取的非均匀滤波器组是否实现了精确的完美重构很有用。

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来源
《The mediterranean journal of electronics and communications》 |2013年第3期|564-566|共3页
作者
Bingo Wing-Kuen Ling; Charlotte Yuk-Fan Ho; Jiangzhong Cao; Qingyun Dai;
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作者单位

Faculty of Information Engineering, Guangdong University of Technology, Guangzhou, China;

Faculty of Information Engineering, Guangdong University of Technology, Guangzhou, China;

Faculty of Information Engineering, Guangdong University of Technology, Guangzhou, China;

Faculty of Information Engineering, Guangdong University of Technology, Guangzhou, China;

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正文语种 eng
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关键词
Incompatible set; maximally decimated integers; nonuniform filter banks;

机译：集不兼容;最大抽取整数非均匀滤波器组;

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1. Optimized windows for FIR filter design to perform maximally flat decimation stages in signal conditioning [J] . Andria G., Savino M. IEEE Transactions on Instrumentation and Measurement . 1992,第3期

机译：FIR滤波器设计的优化窗口，可在信号调理中执行最大平坦的抽取级
2. Necessary and sufficient condition for contextuality from incompatibility [J] . Physical Review, A . 2019,第2aPta1期

机译：来自不相容性的环境的必要和充分条件
3. Maximal sum-free sets of integer lattice grids [J] . Elsholtz Christian, Rackham Laurence The Journal of the London Mathematical Society . 2017,第Pta2期

机译：最大无数的整数格网格组
4. Finite number of necessary and sufficient discrete condition in frequency domain for maximally decimated M-channel mirrored paraunitary linear phase FIR filter bank [C] . Caixia Liu, Ling B.W.K., Ho C.Y.F., IEEE International Conference on Consumer Electronics - China . 2014

机译：最大抽取M通道镜像超unit线性相位FIR滤波器组的频域中有限必要条件和充分离散条件
5. I. A necessary and sufficient condition that a curve lie on a quadric surface; II. A necessary and sufficient condition that a curve lie on a hyperquadric. [D] . Graue, Louis C. 1950

机译：一，曲线位于二次曲面上的充要条件；二。曲线位于二次方上的必要和充分条件。
6. On Sets of Integers Which Contain No Three Terms in Arithmetical Progression [O] . F. A. Behrend 1946

机译：关于在算术级数中不包含三项的整数集
7. Maximal upper asymptotic density of sets of integers with missing differences from a given set [O] . Ram Krishna Pandey 2015

机译：具有缺失与给定集合缺失的整数集的最大上渐近密度

Necessary and Sufficient Condition for a Set of Maximally Decimated Integers to be Incompatible

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