Speech amplitude statistics and the gamma density function as a theoretical approximation.
Knowledge of the speech amplitude density provides basic data concerning the statistics of the continuous speech waveform. The objective of this paper is to present data which characterize the longtime speech amplitude density utilizing a data base of sufficient size to describe the distribution. The data base consists of approximately 45 min of recorded speech for each of the 25 speakers. Two parameters of a theoretical gamma density function are estimated from the experimental data to provide the best curve fit between the experimental data and the gamma density function. Overall results presented in this paper substantiate three main conclusions: There is a significant difference between the speech amplitude density for male and female speakers; the speech amplitude density for positive speech amplitudes differs from that for negative speech amplitudes; and the gamma probability density function is a better approximation for full-wave rectified speech than it is when considering just positive or just negative amplitudes.
D000328:Adult; D005260:Female; D006801:Humans; D008297:Male; D012737:Sex Factors; D013060:Speech; D013223:Statistics as Topic