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20091ee114_1_CA4

# 20091ee114_1_CA4 - UCLA Dept of Electrical Engineering EE...

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UCLA Dept. of Electrical Engineering EE 114, Winter 2009 Computer Assignment 4: Linear Predictive Analysis Introduction : This assignment explores the role of linear prediction in spectral analysis of speech. Specifically, this assignment focusses on the effect of prediction order on resulting spectral approximations. Linear Prediction Order : Load the necessary speech data into your workspace by typing: load in; at the prompt. Analyze the male /a/ segment using the ”zpfft” script: zpfft(male a); Questions : 1. Does the spectral analysis provided by the ”zpfft” script correspond to narrowband or wide- band analysis? 2. Approximate the spectral locations of the first 3 formant frequencies. MATLAB provides a function ”lpc” which, given a signal x and predictive order P , will output the coefficients of the inverse filter A ( z ): a=lpc(x,P); Recall that this is the same expression, A ( z ), that is used to approximate the spectrum during linear predictive analysis: H ( z ) = G A ( z ) . (1) As can be interpreted from the formulation of A ( z ), the output of the ”lpc” function is struc-

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