《信号与系统》课程中卷积法的探讨
Exploring the Convolution Method in “Signal and System” Course

工程实践限定了信号的因果性，物理可实现性要求系统满足因果性，因此系统分析通常隐含遵循因果律。同时，系统起初绝对静止是系统分析的另一个基本假设。基于这两个条件，结合具体案例，阐明初始条件的物理意义，揭示零状态响应概念的本质，并推导卷积分解方法的合理性。研究结果不仅丰富了相关理论内容，为教材编写提供了参考和补充，也对研究方法优化、课程思政设计和教学方法创新具有重要启示。
Engineering practice constrains signals to causality, and physical realizability requires systems to adhere to causality, making causality an implicit assumption in system analysis. Additionally, the assumption of an initially quiescent system serves as another fundamental premise for system analysis. Based on these two conditions, this study, through specific cases, elucidates the physical significance of initial conditions, reveals the essence of the zero-state response, and derives the rationality of the convolution decomposition approach. The findings not only enrich relevant theoretical content and provide references and supplements for textbook development but also offer valuable insights for optimizing research methods, designing curriculum ideologies, and innovating teaching approaches.