Calculating device and flow meter equipped with calculating device
The calculating device has first and second Fourier transform portions performing Fourier transforms on two respective inputted signals; a complex conjugate deriving portion deriving a complex conjugate of a value outputted from the first Fourier transform portion; a multiplier multiplying the complex conjugate with the value outputted from the second Fourier transform portion, and outputting the value after the multiplication; a Hilbert transform portion performing a Hilbert transform on the value after multiplication; first and second inverse Fourier transform portions performing respective inverse Fourier transforms on the value after multiplication and the value outputted from the Hilbert transform portion; a phase relationship deriving portion deriving a phase relationship between the two inputted signals based on the values outputted from the first and second inverse Fourier transform portions; and a time difference deriving portion deriving a time difference between the two inputted signals based on the phase relationship.
1. A calculating device comprising:
a first Fourier transform portion performing a Fourier transform on a first inputted signal;
a second Fourier transform portion performing a Fourier transform on a second inputted signal;
a complex conjugate deriving portion deriving a complex conjugate of the value outputted from the first Fourier transform portion;
a multiplier multiplying the complex conjugate by the value outputted from the second Fourier transform portion, and for outputting the value after the multiplication;
a Hilbert transform portion performing a Hilbert transform on the value after the multiplication;
a first inverse Fourier transform portion performing an inverse Fourier transform on the value after multiplication;
a second inverse Fourier transform portion performing an inverse Fourier transform on the value outputted from the first inverse Fourier transform portion;
a phase relationship deriving portion deriving a phase relationship between the first inputted signal and the second inputted signal based on the value outputted from the first inverse Fourier transform portion and the value outputted from the second inverse Fourier transform portion; and
a time difference deriving portion deriving the time difference between the first inputted signal and the second inputted signal based on the phase relationship.
2. The flow meter equipped with the calculating device as set forth in claim 1 .
3. The flow meter as set forth in claim 2 , comprising:
a first signal transceiver and a second signal transceiver structured so as to be able to send signals to each other and receive signals from each other, wherein:
the first signal transceiver and the second signal transceiver are provided at a distance from each other in a flow path wherein a specific medium flows; the first inputted signal is a signal that is transmitted from the second signal transceiver and received by the first signal transceiver;
the second inputted signal is a signal that is transmitted by the first signal transceiver and received by the second signal transceiver; and a flow rate of the medium is calculated based on the derived time difference.
4. A calculating method comprising the steps of:
a first Fourier transform step performing a Fourier transform on a first inputted signal;
a second Fourier transform step performing a Fourier transform on a second inputted signal;
a complex conjugate deriving step deriving a complex conjugate of the value obtained in the first Fourier transform step;
a multiplying step multiplying the complex conjugate by the value outputted obtained in the second Fourier transform step, and for outputting the value after the multiplication;
a Hilbert transform step performing a Hilbert transform on the value after the multiplication;
a first inverse Fourier transform step performing an inverse Fourier transform on the value after multiplication;
a second inverse Fourier transform step performing an inverse Fourier transform on the value obtained in the first inverse Fourier transform step;
a phase relationship deriving step deriving a phase relationship between the first inputted signal and the second inputted signal based on the value obtained in the first inverse Fourier transform step and the value obtained in the second inverse Fourier transform step; and
a time difference deriving step deriving the time difference between the first inputted signal and the second inputted signal based on the phase relationship.