Filter coefficient group computation device and filter coefficient group computation method
A filter coefficient group computation device is configured from a means for performing inverse Fourier transform on a frequency characteristic inputted through an input means; a means for performing short-term Fourier transform on a numerical string obtained by the inverse Fourier transform; a means for performing windowing on a frequency domain signal, obtained by the short-term Fourier transform, using a function of which a window length shortens as frequency increases; a means for performing short-term inverse Fourier transform on the frequency domain signal after the windowing; a means for performing overlap addition on a numerical string obtained by the short-term inverse Fourier transform; and a means for determining a numerical string after the overlap addition as a filter coefficient group which forms a filter having the frequency characteristic inputted through the input means.
1. A filter coefficient group computation device, provided with an input unit on which a user inputs a frequency characteristic and configured to compute a filter coefficient group which forms a filter having a frequency characteristic inputted through the input unit, comprising:
an inverse Fourier transform unit configured to perform inverse Fourier transform on the frequency characteristic inputted through the input unit;
a short-term Fourier transform unit configured to perform short-term Fourier transform on a numerical string obtained by the inverse Fourier transform;
a windowing unit configured to perform windowing on a frequency domain signal, obtained by the short-term Fourier transform, using a function of which a window length shortens as frequency increases;
a short-term inverse Fourier transform unit configured to perform short-term inverse Fourier transform on the frequency domain signal after the windowing;
an overlap addition unit configured to perform overlap addition on a numerical string obtained by the short-term inverse Fourier transform; and
a filter coefficient group determination unit configured to determine a numerical string after the overlap addition as the filter coefficient group which forms the filter having the frequency characteristic inputted through the input unit.
2. The filter coefficient group computation device according to claim 1 ,
wherein the function defines a relationship in which the window length logarithmically shortens as frequency increases.
3. The filter coefficient group computation device according to claim 1 ,
further comprising a reduction unit configured to reduce a number of coefficients included in the filter coefficient group determined by the filter coefficient group determination unit.
4. The filter coefficient group computation device according to claim 1 ,
further comprising a minimum phase conversion unit configured to perform minimum phase conversion on the numerical string after the inverse Fourier transform by the inverse Fourier transform unit, and
wherein the short-term Fourier transform unit performs the short-term Fourier transform on a numerical string after the minimum phase conversion.
5. The filter coefficient group computation device according to claim 1 ,
wherein the input unit is a touch panel on which touch operation is possible.
6. A filter coefficient group computation method for computing a filter coefficient group which forms a filter having a frequency characteristic inputted by a user, comprising:
performing inverse Fourier transform on the frequency characteristic inputted by the user;
performing short-term Fourier transform on a numerical string obtained by the inverse Fourier transform;
performing windowing on a frequency domain signal, obtained by the short-term Fourier transform, using a function of which a window length shortens as frequency increases;
performing short-term inverse Fourier transform on the frequency domain signal after the windowing;
performing overlap addition on a numerical string obtained by the short-term inverse Fourier transform; and
determining a numerical string after the overlap addition as the filter coefficient group which forms the filter having the frequency characteristic inputted by the user.
7. The filter coefficient group computation method according to claim 6 ,
wherein the function defines a relationship in which the window length logarithmically shortens as frequency increases.
8. The filter coefficient group computation method according to claim 6 ,
further comprising reducing a number of coefficients included in the determined filter coefficient group.
9. The filter coefficient group computation method according to claim 6 ,
further comprising performing minimum phase conversion on the numerical string after the inverse Fourier transform, and
wherein the short-term Fourier transform is performed on a numerical string after the minimum phase conversion.