A system includes: circuitry configured to obtain position information indicating positions of communication devices, the communication devices being fixed at respective installation positions, obtain time information including information on times of reception of a communication from a mobile terminal by the communication devices, calculate coordinates in a second coordinate system in which a projection surface is present using a variable, the position information, and the time information, the second coordinate system having higher dimensions than a first coordinate system indicating the position information and the time information, the variable being used for projection of the first coordinate system onto the projection surface that is defined in the second coordinate system and onto which projection may be performed without limitation in a time direction, and identify a position of the mobile terminal by converting the calculated coordinates in the second coordinate system into coordinates in the first coordinate system.
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