Subject: Speech Processing

Topic: LPC and Parametric Speech Coding

Difficulty: Medium

(i) Another method for solving the normal equation is the co-variance method. In this method, the original signal s(n) is used instead of using the windowed signal.

To minimize the error:

$$E_m = \sum_{n=m}^{m+N-1} [s(n) - \sum_{p=1}^{k} a_p s(n-p)]^2$$

Solving the equation $ \frac{\partial E_m}{\partial a_p} = 0 …