Model
Digital Document
Publisher
Florida Atlantic University
Description
This thesis deals with the application of Line Spectrum Pairs to
tone detection. Linear Predictive Coding (LPC) is described as a
background to deriving the Line Spectrum Pairs. Two sources of LPC
prediction coefficients are used to calcul?te Line Spectrum Pairs.
One source is the polynomial roots of an LPC inverse filter; various
locations of up to 3 pairs of complex conjugate roots are used to
provide filter coefficients. The radii of the conjugate roots are
varied to see the effect on the calculated Line Spectrum Pairs. A
second source of the filter coefficients is single and multiple
sinusoidal tones that are LPC analyzed by the autocorrelation method
to generate filter prediction coefficients. The frequencies and
amplitudes of the summed sinusoids, and the length of the LPC analysis
window are varied to determine the ability to detect the sinusoids by
calculating the related Line Spectrum Pairs.
tone detection. Linear Predictive Coding (LPC) is described as a
background to deriving the Line Spectrum Pairs. Two sources of LPC
prediction coefficients are used to calcul?te Line Spectrum Pairs.
One source is the polynomial roots of an LPC inverse filter; various
locations of up to 3 pairs of complex conjugate roots are used to
provide filter coefficients. The radii of the conjugate roots are
varied to see the effect on the calculated Line Spectrum Pairs. A
second source of the filter coefficients is single and multiple
sinusoidal tones that are LPC analyzed by the autocorrelation method
to generate filter prediction coefficients. The frequencies and
amplitudes of the summed sinusoids, and the length of the LPC analysis
window are varied to determine the ability to detect the sinusoids by
calculating the related Line Spectrum Pairs.
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