In this paper, the future value is taken up as a valuable bit of information concerned with an information synthesis for system automatization, and its measuring method is considered.
First, the measurement of the deterministic future state of a system is discussed for the case when the structure of the system is known and the disturbance does not enter into the system, putting emphasis on the distributed-parameter system. With this point, our discussion is quite different from Wiener's prediction problem.
The following fact is made clear for the case of the distributed-parameter system.
Since a significant inter-relation exists between space and time, the measuring system here becomes very simple compared with the case of the lumped-parameter system, and it is generally possible to extract the temporal information from the spatial information alone.
It should be noted that the preceding fact includes the conceptually expanded meaning of noncontact measurement in the sense that it enables us to measure at points where the real measuring devices are not or can not be provided.
Second, as an actual problem, the future value measurement of temperature is analyzed theoretically for a one-dimensional thermal diffusion system with heat transfer from the surface.
As a result, it is shown that the future value of temperature at a predetermined point can be determined from the present pattern of temperature distribution, and that it can also be given as a form of linear combination of spatially sampled values where a suitable spatial sampling method and interpolation function are obtained for this system
Finally, a simple measuring system based on the above theoretical conclusion is constructed using a round copper rod and some CA-thermocouples.
Experimental results show that the analysis is quite reasonable.
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