The speech waveforms are highly correlated between the adjacent samples. One way of increasing the correlation in speech signals is to simply integrate the input signal prior to coding. The integrated values can be removed by conventional differentiation at the receiver. This emphasizes the low frequencies of speech signals and increases the correlation between adjacent samples. The above arrangement is called as a sigmadelta technique.In this paper, we propose a new predictor which uses such characteristics of dual autocorrelation and the sigmadelta technique. That is, we integrate input signals prior to coding ,and then predict the present intergrate sample by using two samples, one past and one next. The proposed predictor has higher mean prediction gain of 8.65dB than that of the CCI'IT-Recommendation ADPCM.