Using spreadsheets in student exercises for signal and linear system analysis

Stanton B.J.; Drozdowski M.J.

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Using spreadsheets in student exercises for signal and linear system analysis

机译：在学生练习中使用电子表格进行信号和线性系统分析

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Several student exercises in signal and linear system analysis that use the power of PC-based spreadsheet programs to aid students' understanding and cognitive development are presented. The first exercise examines the Fourier series and allows students to see graphically how the harmonics of the series add and subtract to form a new periodic waveform. In the second assignment, students work through problems designed to acquaint them with implementing singularity functions and integration methods on the path to accomplishing the convolution of two signals. The final exercise teaches students how to form iterative solutions to state space problems. The exercises allow students to focus on gaining a conceptual understanding of signal and linear system analysis while deemphasizing the rigors of developing a user interface, a common problem when using structured programming languages.

机译：介绍了一些学生在信号和线性系统分析中的练习，这些练习使用基于PC的电子表格程序的功能来帮助学生理解和认知发展。第一个练习检查了傅立叶级数，并允许学生以图形方式查看该级数的谐波如何相加和相减以形成新的周期波形。在第二个作业中，学生研究旨在使他们熟悉实现奇异函数和积分方法的问题，以实现两个信号的卷积。最后的练习教给学生如何形成状态空间问题的迭代解决方案。通过练习，学生可以专注于获得对信号和线性系统分析的概念性理解，而不再强调开发用户界面的严谨性，这是使用结构化编程语言时常见的问题。

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《IEEE Transactions on Education》 |1993年第1期|P.62-68|共7页
作者
Stanton B.J.; Drozdowski M.J.;
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1. Nonlinear and sampled data control systems analysis using spreadsheets [J] . Kabalan K.Y., El-Hajj A. IEE Proceedings. Part A . 1996,第1期

机译：使用电子表格进行非线性和采样数据控制系统分析
2. Time domain analysis of linear systems using spreadsheets [J] . El-Hajj A., Kabalan K.Y. IEEE Transactions on Education . 1995,第4期

机译：使用电子表格对线性系统进行时域分析
3. A Tale of Two Molecules: How the Heat Capacities of N-2(g) and F-2(g) Differ At High Temperature and Why Naive Expectations Fail to Explain These Differences: A Spreadsheet Exercise for Physical Chemistry Students [J] . Halpern Arthur M., Noll Robert J. Journal of Chemical Education . 2019,第5期

机译：两种分子的故事：N-2（g）和F-2（g）的热量如何在高温下不同，并且为什么天真的期望未能解释这些差异：物理化学学生的电子表格练习
4. Improving Conceptual Understanding of Signals and Systems in Undergraduate Engineering Students Using Collaborative In-Class Laboratory Exercises [C] . Anusha Sathyanarayanan Rao, Jing Fan, Cynthia J. Brame, American Society for Engineering Education Annual Conference and Exposition . 2014

机译：使用协同式实验室练习提高本科工程学生信号和系统的概念理解
5. Hilbert transform applications in signal analysis and non-parametric identification of linear and nonlinear systems. [D] . Wang, Zuocai. 2011

机译：Hilbert变换在线性和非线性系统的信号分析和非参数识别中的应用。
6. Spreadsheet Method for Evaluation of Biochemical Reaction Rate Coefficients and Their Uncertainties by Weighted Nonlinear Least-Squares Analysis of the Integrated Monod Equation [O] . Laurence H. Smith, Perry L. McCarty, Peter K. Kitanidis 1998

机译：综合单态方程加权非线性最小二乘分析的生化反应速率系数及其不确定度的电子表格方法
7. EEG Signal Discrimination using Non-linear Dynamics in the EMD Domain S. M. Shafiul Alam,S. M. Shafiul Alam,Aurangozeb, and Syed TarekShahriar Abstract—An EMD-chaos based approach is proposed todiscriminate EEG signals corresponding to healthy persons,and epileptic patients during seizure-free intervals and seizureattacks. An electroencephalogram (EEG) is first empiricallydecomposed to intrinsic mode functions (IMFs). The nonlineardynamics of these IMFs are quantified in terms of the largestLyapunov exponent (LLE) and correlation dimension (CD).This chaotic analysis in EMD domain is applied to a large groupof EEG signals corresponding to healthy persons as well asepileptic patients (both with and without seizure attacks). It isshown that the values of the obtained LLE and CD exhibitfeatures by which EEG for seizure attacks can be clearlydistinguished from other EEG signals in the EMD domain.Thus, the proposed approach may aid researchers in developingeffective techniques to predict seizure activities. Index Terms—Electroencephalogram (EEG), empiricalmode decomposition (EMD), largest Lyapunov exponent (LLE),correlation dimension (CD), epileptic seizures. The Authors are with the Electrical and Electronic EngineeringDepartment, Bangladesh University of Engineering and Technology,Dhaka-1000, Bangladesh (e-mail: imamul@eee.buet.ac.bd) PDF Cite: S. M. Shafiul Alam,S. M. Shafiul Alam,Aurangozeb, and Syed Tarek Shahriar, "EEG Signal Discrimination using Non-linear Dynamics in the EMD Domain," International Journal of Computer and Electrical Engineering vol. 4, no. 3, pp. 326-330, 2012. PREVIOUS PAPER Perception of Emotions Using Constructive Learningthrough Speech NEXT PAPER Physical Layer Impairments Aware OVPN Connection Selection Mechanisms Copyright © 2008-2013. International Association of Computer Science and Information Technology Press (IACSIT Press) [O] . S. M. Shafiul Alam, Syed TarekShahriar 2012

机译：EEG信号在EMD域S. S. Shafiul Alam，S中的非线性动力学使用非线性动力学。 M. Shafiul Alam，Aurangozeb和Syed Tarekshahriar摘要 - 基于EMD Chaos的方法，提出了对应于健康人的EEG信号，癫痫发作期间的癫痫患者和Seizureattacks。脑电图（EEG）首先被凭经上分解为内在模式功能（IMF）。这些IMF的非线性动力学在最大范围的指数（LLE）和相关尺寸（CD）方面是量化的。本域中的混沌分析应用于与健康人相对应的大型脑电图（Asepileptic患者）（两者都有癫痫发作）。因此，所获得的LLE和CD表展的价值可以从EMD领域的其他EEG信号中清晰地区分脑电图的表达展示。本拟议的方法可以帮助研究人员以预测癫痫发作的癫痫发作技术。索引术语 - 脑电图（EEG），仿真态分解（EMD），最大的Lyapunov指数（LLE），相关维度（CD），癫痫发作。作者与电气电子和电子工程公司，孟加拉国工程和技术大学，孟加拉国达卡 - 1000（电子邮件：imamul@eee.buet.ac.bd）pdf cite：s. m. shafiul Alam，s。 M. Shafiul Alam，Aurangozeb和Syed Tarek Shahriar，“EEG信号歧视在EMD领域的非线性动态，”计算机电气工程卷国际杂志。 4，不。 3，pp。326-330,2012，上一篇论文对情绪的看法，使用建设性的学习言论下一篇论文物理层障碍意识到OVPN连接选择机制版权所有©2008-2013。国际计算机科学与信息技术协会出版社（IACSIT Press）

Using spreadsheets in student exercises for signal and linear system analysis

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