1. A state recognizing device comprising: a first filter unit that performs a filtering process on a time-series signal, which is obtained as a result of performing remote measuring on a space, in accordance with a first cutoff frequency so as to allow a signal component deriving from movement of a biological organism to pass through; a second filter unit that performs a filtering process on the time-series signal in accordance with a second cutoff frequency, which is lower than the first cutoff frequency, so as to allow a signal component based on biological information of the biological organism to pass through; an amplitude-component extracting unit that extracts a first feature quantity related to an amplitude component from a signal passed through the first filter unit and the second filter unit; a frequency-component extracting unit that extracts a second feature quantity related to a frequency component from a signal passed through the first filter unit and the second filter unit; and a recognizing unit that recognizes a state of the space by using the first feature quantity and the second feature quantity.