Linear predictive analysis apparatus, method, program and recording medium
An autocorrelation calculating part calculates autocorrelation Ro(i) from an input signal. A predictive coefficient calculating part performs linear predictive analysis using modified autocorrelation R′o(i) obtained by multiplying the autocorrelation Ro(i) by a coefficient wo(i). Here, it is assumed that a case where, for at least part of each order i, the coefficient wo(i) corresponding to each order i monotonically increases as a value having negative correlation with a fundamental frequency of an input signal in a current frame or a past frame increases and a case where the coefficient wo(i) monotonically decreases as a value having positive correlation with a pitch gain in a current frame or a past frame increases, are included.
1. A linear predictive analysis method for obtaining a coefficient which can be converted into a linear predictive coefficient corresponding to an input time series signal for each frame which is a predetermined time interval, the linear predictive analysis method comprising:
an autocorrelation calculating step of calculating autocorrelation R o (i) between an input time series signal X o (n) of a current frame and an input time series signal X o (n−i) i sample before the input time series signal X o (n) or an input time series signal X o (n+i) i sample after the input time series signal X o (n) for each of at least i=0, 1, . . . , P max ; and
a predictive coefficient calculating step of obtaining a coefficient which can be converted into linear predictive coefficients from the first-order to the P max -order using modified autocorrelation R′ o (i) obtained by multiplying the autocorrelation R o (i) by a coefficient w o (i) corresponding to the each order for each corresponding i,
wherein the linear predictive analysis method further comprises a coefficient determining step of acquiring the coefficient w o (i) from one coefficient table among two or more coefficient tables using a period, an estimate value of the period, a quantization value of the period or a value having negative correlation with a fundamental frequency based on an input time series signal in the current frame or a past frame and a value having positive correlation with intensity of periodicity or a pitch gain of the input time series signal in the current frame or the past frame assuming that coefficients w o (i) are stored in each of the two or more coefficient tables,
assuming that among the two or more coefficient tables, a coefficient table from which the coefficient w o (i) is acquired in the coefficient determining step when the period, the estimate value of the period, the quantization value of the period or the value having negative correlation with the fundamental frequency is a first value, and the value having positive correlation with the intensity of the periodicity or the pitch gain is a third value is a first coefficient table, and
among the two or more coefficient tables, a coefficient table from which the coefficient w o (i) is acquired in the coefficient determining step when the period, the estimate value of the period, the quantization value of the period or the value having negative correlation with the fundamental frequency is a second value which is greater than the first value, and the value having positive correlation with the intensity of the periodicity or the pitch gain is a fourth value which is smaller than the third value is a second coefficient table,
for at least part of each order i, a coefficient corresponding to the each order i in the second coefficient table is greater than a coefficient corresponding to the each order i in the first coefficient table.
2. A linear predictive analysis method for obtaining a coefficient which can be converted into a linear predictive coefficient corresponding to an input time series signal for each frame which is a predetermined time interval, the linear predictive analysis method comprising:
an autocorrelation calculating step of calculating autocorrelation R o (i) between an input time series signal X o (n) of a current frame and an input time series signal X o (n−i) i sample before the input time series signal X o (n) or an input time series signal X o (n+i) i sample after the input time series signal X o (n) for each of at least i=0, 1, . . . , P m ; and
a predictive coefficient calculating step of obtaining a coefficient which can be converted into linear predictive coefficients from the first-order to the P max -order using modified autocorrelation R′ o (i) obtained by multiplying the autocorrelation R o (i) by a coefficient w o (i) corresponding to the each order for each corresponding i,
wherein the linear predictive analysis method further comprises a coefficient determining step of acquiring the coefficient w o (i) from one coefficient table among two or more coefficient tables using a value having positive correlation with a fundamental frequency based on an input time series signal in the current frame or a past frame and a value having positive correlation with intensity of periodicity or a pitch gain of the input time series signal in the current frame or the past frame assuming that coefficients w o (i) are stored in each of the two or more coefficient tables,
assuming that among the two or more coefficient tables, a coefficient table from which the coefficient w o (i) is acquired in the coefficient determining step when the value having positive correlation with the fundamental frequency is a first value and the value having positive correlation with the intensity of periodicity or the pitch gain is a third value is a first coefficient table, and
among the two or more coefficient tables, a coefficient table from which the coefficient w o (i) is acquired in the coefficient determining step when the value having positive correlation with the fundamental frequency is a second value which is smaller than the first value and the value having positive correlation with the intensity of periodicity or the pitch gain is a fourth value which is smaller than the third value is a second coefficient table,
for at least part of each order i, a coefficient corresponding to the each order i in the second coefficient table is greater than a coefficient corresponding to the each order i in the first coefficient table.
3. A linear predictive analysis apparatus which obtains a coefficient which can be converted into a linear predictive coefficient corresponding to an input time series signal for each frame which is a predetermined time interval, the linear predictive analysis apparatus comprising:
processing circuitry configured to
calculate autocorrelation R o (i) between an input time series signal X o (n) of a current frame and an input time series signal X o (n−i) i sample before the input time series signal X o (n) or an input time series signal X o (n+i) i sample after the input time series signal X o (n) for each of at least i=0, 1, . . . , P max ; and
obtain a coefficient which can be converted into linear predictive coefficients from the first-order to the P max -order using modified autocorrelation R′ o (i) obtained by multiplying the autocorrelation R o (i) by a coefficient w o (i) corresponding to the each order for each corresponding i,
wherein the processing circuitry further configured to acquire the coefficient w o (i) from one coefficient table among two or more coefficient tables using a period, an estimate value of the period, a quantization value of the period or a value having negative correlation with a fundamental frequency based on an input time series signal in the current frame or a past frame and a value having positive correlation with intensity of periodicity or a pitch gain of the input time series signal in the current frame or the past frame assuming that coefficients w o (i) are stored in each of the two or more coefficient tables,
assuming that, among the two or more coefficient tables, a coefficient table from which the coefficient w o (i) is acquired by the processing circuitry when the period, the estimate value of the period, the quantization value of the period or the value having negative correlation with the fundamental frequency is a first value and the value having positive correlation with the intensity of the periodicity or the pitch gain is a third value is a first coefficient table, and
among the two or more coefficient tables, a coefficient table from which the coefficient w o (i) is acquired by the processing circuitry when the period, the estimate value of the period, the quantization value of the period or the value having negative correlation with the fundamental frequency is a second value which is greater than the first value and the value having positive correlation with the intensity of the periodicity or the pitch gain is a fourth value which is smaller than the third value is a second coefficient table,
for at least part of each order i, a coefficient corresponding to the each order i in the second coefficient table is greater than a coefficient corresponding to the each order i in the first coefficient table.
4. A linear predictive analysis apparatus which obtains a coefficient which can be converted into a linear predictive coefficient corresponding to an input time series signal for each frame which is a predetermined time interval, the linear predictive analysis apparatus comprising:
processing circuitry configured to
calculate autocorrelation R o (i) between an input time series signal X o (n) of a current frame and an input time series signal X o (n−i) i sample before the input time series signal X o (n) or an input time series signal X o (n+i) i sample after the input time series signal X o (n) for each of at least i=0, 1, . . . , P max ; and
obtain a coefficient which can be converted into linear predictive coefficients from the first-order to the P max -order using modified autocorrelation R′ o (i) obtained by multiplying the autocorrelation R o (i) by a coefficient w o (i) corresponding to the each order for each corresponding i,
wherein the processing circuitry further configured to acquire the coefficient w o (i) from one coefficient table among two or more coefficient tables using a value having positive correlation with a fundamental frequency based on an input time series signal in the current frame or a past frame and a value having positive correlation with intensity of periodicity or a pitch gain of the input time series signal in the current frame or the past frame assuming that coefficients w o (i) are stored in each of the two or more coefficient tables,
assuming that among the two or more coefficient tables, a coefficient table from which the coefficient w o (i) is acquired by the processing circuitry when the value having positive correlation with the fundamental frequency is a first value and the value having positive correlation with the intensity of periodicity or the pitch gain is a third value is a first coefficient table, and
among the two or more coefficient tables, a coefficient table from which the coefficient w o (i) is acquired by the processing circuitry when the value having positive correlation with the fundamental frequency is a second value which is smaller than the first value and the value having positive correlation with the intensity of periodicity or the pitch gain is a fourth value which is smaller than the third value is a second coefficient table,
for at least part of each order i, a coefficient corresponding to the each order i in the second coefficient table is greater than a coefficient corresponding to the each order i in the first coefficient table.
5. A non-transitory computer readable recording medium in which a program causing a computer to execute each step of the linear predictive analysis method according to claim 1 or 2 is recorded.