"深入理解信号与系统教学：z变换的理论与实践案例"

The z-transform is a powerful tool in the field of signals and systems, allowing for the analysis and manipulation of discrete-time signals. Chapter 10 of the course material covers various properties and examples of the z-transform, highlighting its importance in the design and response of linear time-invariant systems. One of the key concepts discussed in the course material is the basic transform pairs, which serve as the foundation for understanding the z-transform. These pairs relate a signal in the time domain to its representation in the z-domain, providing a convenient way to analyze and process signals in a digital system. The course material also delves into examples of z-transform for signals with finite zeros and poles. By understanding the characteristics of these signals, students can effectively apply the z-transform to analyze their behavior and design systems that can process them efficiently. Furthermore, the material explores the application of the z-transform to right-sided and both-sided signals. This distinction is crucial in determining the appropriate techniques for analyzing and processing different types of signals, leading to more accurate and efficient systems designs. Overall, the study of the z-transform in signals and systems provides students with a comprehensive understanding of how to analyze and manipulate discrete-time signals. By mastering the concepts and examples presented in the course material, students can develop the skills necessary to design and optimize systems that effectively process digital signals in various applications.