Abstract
The proportionality relation between the time integral of the input signal and that of the output signal is derived in a linear measurement system with lumped parameters and in a system with distributed parameters. The relation is equivalent to that of signals in a most simple case in which the input signal is a time-independent constant and the output signal is proportional to the magnitude of the input signal. In a system with distributed parameters, the relation is valid for signals averaged over surfaces through which they are transmitted in or out. The relation is also valid even when the linear system shows time delay, overshoot or damped vibration.
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