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.
Highlights
Signals and Systems is a very important basic course for electronic information and related professional fields, such as communication engineering, etc [1]
For students majoring in electronic information engineering and communication engineering, Signals and Systems is one of the most basic courses
For the properties of a system such as linearity, time-invariance and causality, judgments are given in the textbook, the definition of the literal can know, but a brief examples and explain process are not given [9]
Summary
Signals and Systems is a very important basic course for electronic information and related professional fields, such as communication engineering, etc [1]. For students majoring in electronic information engineering and communication engineering, Signals and Systems is one of the most basic courses. The general formula given is too abstract, and the two basic elements of linearity, superposition and homogeneity, are not emphasized enough [9] For time invariance, it is not very clear what the system does, what is time varying and what is constant. Based on the basic concept of signal, the main function of the system and the internal connection between the signal and the system, the common determination methods of linearity, time-invariance and causality of the system are mainly explained. Combined with many examples of students often feel difficult to judge, respectively explain; based on many typical examples, detailed descriptions have shown for the causality of linear time-invariance to further improve the students' ability to grasp this part of the content [15]
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