ps7_fall09

ps7_fall09 - Department of Electrical and Computer...

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Unformatted text preview: Department of Electrical and Computer Engineering Digital Speech Processing Homework No. 7 Problem 1 Linear prediction analysis is used to obtain an eleventh-order all-pole model for a segment of voiced speech that was sampled at a rate of F S = 8000 sam- ples/second. The system function of the model is: H ( z ) = G A ( z ) = G 1- 11 X k =1 k z- k = G 11 Y i =1 (1- z i z- 1 ) Table 1 shows five of the roots of the eleventh-order prediction error filter, A ( z ). i | z i | z i (rad) 1 0.2567 2.0677 2 0.9681 1.4402 3 0.9850 0.2750 4 0.8647 2.0036 5 0.9590 2.4162 Table 1: Root locations of eleventh-order prediction error filter in the z-plane. (a) Determine where the other six zeros of A ( z ) are located in the z-plane. If you cannot precisely determine the pole locations, explain where the pole might occur in the z-plane. (b) Estimate the first three formant frequencies (in Hz) for this segment of speech....
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ps7_fall09 - Department of Electrical and Computer...

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