由卷积想到的计量单位及相关物理概念

Some Measurement Units and Related Concepts Induced by Convolution

本文结合电路理论中卷积表达式和物理方程的量纲平衡原理,分别剖析了单位冲激响应h(t)和单位阶跃响应s(t)的计量单位,以及这些响应的实际含义和相关物理概念。强调了它们都是响应与激励的某种比值,不是普通意义上的响应电流或响应电压,因此其单位既不是电流的单位,也不是电压的单位。由此还延伸讨论了复频域中若干量的计量单位和相关物理概念问题。

Combined with the convolution expression in circuit theory and the dimensional balance principles of the physical equations,some measurement units of the unit impulse response and unit step response,as well as the practical implications of these responses and related concepts are analyzed. It is emphasized that they are both some kind of ratios of the response and the excitation,not the ordinary senses of the response current or voltage,so their units are neither the unit of current nor the unit of voltage. In addition,the measurement units of several quantities in the complex frequency domain and related concepts are also discussed.