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UCLA
Dept. of Electrical Engineering
EE 114, Winter 2009
Computer Assignment 4: Linear Predictive Analysis
Abstract
: This assignment explores the role of linear prediction in spectral analysis for speech.
Speciﬁcally, this assignment focusses on the eﬀect of prediction order on resulting spectral approx
imations.
Questions
:
1. The spectrum corresponds to narrowband analysis. This apparent by the resolved harmonics
and generally high spectral resolution.
2. The ﬁrst three formant frequencies can be estimated to be
F
1
=700 Hz,
F
2
=1150 Hz, and
F
3
=2400 Hz.
Questions
:
1.
0
0.5
1
1.5
2
2.5
3
20
10
0
10
20
30
PoleZero Map
Real Axis
Imaginary Axis
1
0.8
0.6
0.4
0.2
0
0.2
0.4
0.6
0.8
1
1
0.5
0
0.5
1
Figure 1: Approximated spectrum and polezero map obtained from 4
th
order linear predictive
analysis.
Linear predictive analysis with order
P
=4 does not provide adequate information to estimate
three formant frequencies. However, with
P
=6, the formant frequencies can be estimated as
F
1
=700 Hz,
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This note was uploaded on 05/10/2010 for the course EE EE114 taught by Professor Vanderschaar during the Spring '09 term at UCLA.
 Spring '09
 VANDERSCHAAR
 Electrical Engineering

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