Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples

Wenhong Liu

doi:doi:10.11648/j.her.20210604.13

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Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples

Wenhong Liu

Published in Higher Education Research (Volume 6, Issue 4)

Received: 16 August 2021 Accepted: 4 September 2021 Published: 10 September 2021

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Abstract

In the course of learning Signals and Systems, it is one of the emphases and difficulties to determine the basic system properties, such as linearity, time-invariance and causality. In teaching, it is found that students often only know the written expression of the determination methods, but do not understand the core of the determination methods. So they feel difficult to use. In order to help students to understand, this paper focuses on giving popular and common explanations to the traditional determination methods of the above three basic system properties, rather than sticking to the rigor of the theory. As for linearity determination, from the embodiment of additivity and homogeneity, the input signals are constructed; the discrimination of time invariance is considered from two aspects: time delay and the transformation of signals by systems; it is more convenience for judgment of causality to obtain the time relationship of output and input from some special moments. By means of the comprehensible explanations of the determination methods in this paper, students can easily understand and master the traditional determination methods of three basic system properties. More importantly, they can apply it to solve the determination problems of linearity, time invariance and causality of systems.

Published in	Higher Education Research (Volume 6, Issue 4)
DOI	10.11648/j.her.20210604.13
Page(s)	93-97
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

System Properties, Linearity, Time-Invariance, Causality, Determination Methods Interpretations

References

[1]	Alan V. Oppenheim, Alan S. Willsky, and S. Hamid Nawab, Signals and Systems, 2nd ed., Publishing House of Electronics Industry, 2012, pp. 44–57.
[2]	Simon Haykin and Barry Van Veen, Signals and Systems, 2nd ed., Publishing House of Electronics Industry, 2012, pp. 55–69.
[3]	Guan zhizhong, Xia Gongke, and Meng Qiao, Signals and Linear Systems, 6th ed., Higher Education Press, 2015.
[4]	Zheng Junli, Ying Qiheng, and Yang Weili, Signals and Linear Systems, 3rd ed., Higher Education Press, 2011.
[5]	Xu Shoushi, Tan Yong, and Guo Wu, Signals and Systems Theory Method and Application, 3rd ed., University of Science and Technology of China Press, 2018.
[6]	Guo Baolong, Yan Yunyi, Zhu Juanjuan, and Wu Xianxiang, Engineering Signals and Systems, Higher Education Press, 2014.
[7]	Chen Shentan, Guo Baolong, Li Xuewu, and Gao Jianning, Signals and Systems, 4th ed., Xidian University Press, 2018.
[8]	Chen Houjin, Hu Jian, Xue Jian, and Li Jvpeng, Signals and Systems, Higher Education Press, 2020.
[9]	Zhang Xiaohong, Signals and Systems, 4th ed., Xidian University Press, 2018.
[10]	Liu Shufan et al., Signal and System Operation, Simulation and Comprehensive Design Experiment, Machinery Industry Press, 2010.
[11]	https://mooc1-1.chaoxing.com/course/207603919.html.
[12]	Guo Baolong, http://www.icourses.cn/sCourse/course_4233.html.
[13]	Meng Qiao http://www.icourses.cn/sCourse/course_2596.html
[14]	Chen Houjin, http://www.icourses.cn/sCourse/course_3343.html.
[15]	Liu Wenhong, https://mooc1.chaoxing.com/mycourse/teachercourse?moocId=215717567&clazzid=34814981&edit=true&v=0&cpi=0&pageHeader=0.

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APA Style

Wenhong Liu. (2021). Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples. Higher Education Research, 6(4), 93-97. https://doi.org/10.11648/j.her.20210604.13

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ACS Style

Wenhong Liu. Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples. High. Educ. Res. 2021, 6(4), 93-97. doi: 10.11648/j.her.20210604.13

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AMA Style

Wenhong Liu. Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples. High Educ Res. 2021;6(4):93-97. doi: 10.11648/j.her.20210604.13

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@article{10.11648/j.her.20210604.13,
  author = {Wenhong Liu},
  title = {Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples},
  journal = {Higher Education Research},
  volume = {6},
  number = {4},
  pages = {93-97},
  doi = {10.11648/j.her.20210604.13},
  url = {https://doi.org/10.11648/j.her.20210604.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.her.20210604.13},
  abstract = {In the course of learning Signals and Systems, it is one of the emphases and difficulties to determine the basic system properties, such as linearity, time-invariance and causality. In teaching, it is found that students often only know the written expression of the determination methods, but do not understand the core of the determination methods. So they feel difficult to use. In order to help students to understand, this paper focuses on giving popular and common explanations to the traditional determination methods of the above three basic system properties, rather than sticking to the rigor of the theory. As for linearity determination, from the embodiment of additivity and homogeneity, the input signals are constructed; the discrimination of time invariance is considered from two aspects: time delay and the transformation of signals by systems; it is more convenience for judgment of causality to obtain the time relationship of output and input from some special moments. By means of the comprehensible explanations of the determination methods in this paper, students can easily understand and master the traditional determination methods of three basic system properties. More importantly, they can apply it to solve the determination problems of linearity, time invariance and causality of systems.},
 year = {2021}
}

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TY  - JOUR
T1  - Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples
AU  - Wenhong Liu
Y1  - 2021/09/10
PY  - 2021
N1  - https://doi.org/10.11648/j.her.20210604.13
DO  - 10.11648/j.her.20210604.13
T2  - Higher Education Research
JF  - Higher Education Research
JO  - Higher Education Research
SP  - 93
EP  - 97
PB  - Science Publishing Group
SN  - 2578-935X
UR  - https://doi.org/10.11648/j.her.20210604.13
AB  - In the course of learning Signals and Systems, it is one of the emphases and difficulties to determine the basic system properties, such as linearity, time-invariance and causality. In teaching, it is found that students often only know the written expression of the determination methods, but do not understand the core of the determination methods. So they feel difficult to use. In order to help students to understand, this paper focuses on giving popular and common explanations to the traditional determination methods of the above three basic system properties, rather than sticking to the rigor of the theory. As for linearity determination, from the embodiment of additivity and homogeneity, the input signals are constructed; the discrimination of time invariance is considered from two aspects: time delay and the transformation of signals by systems; it is more convenience for judgment of causality to obtain the time relationship of output and input from some special moments. By means of the comprehensible explanations of the determination methods in this paper, students can easily understand and master the traditional determination methods of three basic system properties. More importantly, they can apply it to solve the determination problems of linearity, time invariance and causality of systems.
VL  - 6
IS  - 4
ER  -

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Author Information

Wenhong Liu

School of Electronic Information, Shanghai Dianji University, Shanghai, China

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Plain Text BibTeX RIS

APA Style

Wenhong Liu. (2021). Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples. Higher Education Research, 6(4), 93-97. https://doi.org/10.11648/j.her.20210604.13

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ACS Style

Wenhong Liu. Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples. High. Educ. Res. 2021, 6(4), 93-97. doi: 10.11648/j.her.20210604.13

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AMA Style

Wenhong Liu. Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples. High Educ Res. 2021;6(4):93-97. doi: 10.11648/j.her.20210604.13

Copy | Download

@article{10.11648/j.her.20210604.13,
  author = {Wenhong Liu},
  title = {Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples},
  journal = {Higher Education Research},
  volume = {6},
  number = {4},
  pages = {93-97},
  doi = {10.11648/j.her.20210604.13},
  url = {https://doi.org/10.11648/j.her.20210604.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.her.20210604.13},
  abstract = {In the course of learning Signals and Systems, it is one of the emphases and difficulties to determine the basic system properties, such as linearity, time-invariance and causality. In teaching, it is found that students often only know the written expression of the determination methods, but do not understand the core of the determination methods. So they feel difficult to use. In order to help students to understand, this paper focuses on giving popular and common explanations to the traditional determination methods of the above three basic system properties, rather than sticking to the rigor of the theory. As for linearity determination, from the embodiment of additivity and homogeneity, the input signals are constructed; the discrimination of time invariance is considered from two aspects: time delay and the transformation of signals by systems; it is more convenience for judgment of causality to obtain the time relationship of output and input from some special moments. By means of the comprehensible explanations of the determination methods in this paper, students can easily understand and master the traditional determination methods of three basic system properties. More importantly, they can apply it to solve the determination problems of linearity, time invariance and causality of systems.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Comprehensible Explanations of Determination Methods of Three Basic System Properties and Examples
AU  - Wenhong Liu
Y1  - 2021/09/10
PY  - 2021
N1  - https://doi.org/10.11648/j.her.20210604.13
DO  - 10.11648/j.her.20210604.13
T2  - Higher Education Research
JF  - Higher Education Research
JO  - Higher Education Research
SP  - 93
EP  - 97
PB  - Science Publishing Group
SN  - 2578-935X
UR  - https://doi.org/10.11648/j.her.20210604.13
AB  - In the course of learning Signals and Systems, it is one of the emphases and difficulties to determine the basic system properties, such as linearity, time-invariance and causality. In teaching, it is found that students often only know the written expression of the determination methods, but do not understand the core of the determination methods. So they feel difficult to use. In order to help students to understand, this paper focuses on giving popular and common explanations to the traditional determination methods of the above three basic system properties, rather than sticking to the rigor of the theory. As for linearity determination, from the embodiment of additivity and homogeneity, the input signals are constructed; the discrimination of time invariance is considered from two aspects: time delay and the transformation of signals by systems; it is more convenience for judgment of causality to obtain the time relationship of output and input from some special moments. By means of the comprehensible explanations of the determination methods in this paper, students can easily understand and master the traditional determination methods of three basic system properties. More importantly, they can apply it to solve the determination problems of linearity, time invariance and causality of systems.
VL  - 6
IS  - 4
ER  -

Copy | Download