Subject: Speech Processing

Topic: Speech Analysis in Time Domain

Difficulty: Low

Auto-correlation Function: If {x(t)} is a stationary random process {x(t)} then E[x(t).X(t+z)] which is a function of Z is called auto-correlation function of {x(t)} and denoted by R$_{xx}$(Z), R$_x$(Z) or R(Z). Thus $$ R_{xx} (Z) = E[x(t).E(t+Z)]$$

Properties of Auto-Correlation Function R(Z):

(i) The mean square value of a random …