Provided is an envelope sequence that can increase the approximation accuracy in the vicinity of a peak due to the pitch period of an acoustic signal. The periodic integrated envelope sequence generation apparatus according to the present invention generates a periodic integrated envelope sequence as an envelope sequence using an acoustic digital signal in a time domain of a frame unit that is a predetermined time interval as an input acoustic signal. The periodic integrated envelope sequence generation apparatus of the present invention includes at least a spectrum envelope sequence calculation unit and a periodic integrated envelope generation unit. The spectrum envelope sequence calculation unit calculates a spectrum envelope sequence of the input acoustic signal based on linear prediction in the time domain of the input acoustic signal. The periodic integrated envelope generation unit transforms the amplitude spectrum envelope sequence based on the periodic component in the frequency domain of the input acoustic signal to obtain a periodic integrated envelope sequence.
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