Theses and Dissertations
This collection includes both ASU Theses and Dissertations, submitted by graduate students, and the Barrett, Honors College theses submitted by undergraduate students.
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- Creators: Turaga, Pavan
Description
Speech is generated by articulators acting on
a phonatory source. Identification of this
phonatory source and articulatory geometry are
individually challenging and ill-posed
problems, called speech separation and
articulatory inversion, respectively.
There exists a trade-off
between decomposition and recovered
articulatory geometry due to multiple
possible mappings between an
articulatory configuration
and the speech produced. However, if measurements
are obtained only from a microphone sensor,
they lack any invasive insight and add
additional challenge to an already difficult
problem.
A joint non-invasive estimation
strategy that couples articulatory and
phonatory knowledge would lead to better
articulatory speech synthesis. In this thesis,
a joint estimation strategy for speech
separation and articulatory geometry recovery
is studied. Unlike previous
periodic/aperiodic decomposition methods that
use stationary speech models within a
frame, the proposed model presents a
non-stationary speech decomposition method.
A parametric glottal source model and an
articulatory vocal tract response are
represented in a dynamic state space formulation.
The unknown parameters of the
speech generation components are estimated
using sequential Monte Carlo methods
under some specific assumptions.
The proposed approach is compared with other
glottal inverse filtering methods,
including iterative adaptive inverse filtering,
state-space inverse filtering, and
the quasi-closed phase method.
a phonatory source. Identification of this
phonatory source and articulatory geometry are
individually challenging and ill-posed
problems, called speech separation and
articulatory inversion, respectively.
There exists a trade-off
between decomposition and recovered
articulatory geometry due to multiple
possible mappings between an
articulatory configuration
and the speech produced. However, if measurements
are obtained only from a microphone sensor,
they lack any invasive insight and add
additional challenge to an already difficult
problem.
A joint non-invasive estimation
strategy that couples articulatory and
phonatory knowledge would lead to better
articulatory speech synthesis. In this thesis,
a joint estimation strategy for speech
separation and articulatory geometry recovery
is studied. Unlike previous
periodic/aperiodic decomposition methods that
use stationary speech models within a
frame, the proposed model presents a
non-stationary speech decomposition method.
A parametric glottal source model and an
articulatory vocal tract response are
represented in a dynamic state space formulation.
The unknown parameters of the
speech generation components are estimated
using sequential Monte Carlo methods
under some specific assumptions.
The proposed approach is compared with other
glottal inverse filtering methods,
including iterative adaptive inverse filtering,
state-space inverse filtering, and
the quasi-closed phase method.
ContributorsVenkataramani, Adarsh Akkshai (Author) / Papandreou-Suppappola, Antonia (Thesis advisor) / Bliss, Daniel W (Committee member) / Turaga, Pavan (Committee member) / Arizona State University (Publisher)
Created2018
Recursive Bayesian Estimation on Projective Spaces: Theoretical Foundations and Practical Algorithms
Description
This thesis develops geometrically and statistically rigorous foundations for multivariate analysis and bayesian inference posed on grassmannian manifolds. Requisite to the development of key elements of statistical theory in a geometric realm are closed-form, analytic expressions for many differential geometric objects, e.g., tangent vectors, metrics, geodesics, volume forms. The first part of this thesis is devoted to a mathematical exposition of these. In particular, it leverages the classical work of Alan James to derive the exterior calculus of differential forms on special grassmannians for invariant measures with respect to which integration is permissible. Motivated by various multi-sensor remote sensing applications, the second part of this thesis describes the problem of recursively estimating the state of a dynamical system propagating on the Grassmann manifold. Fundamental to the bayesian treatment of this problem is the choice of a suitable probability distribution to a priori model the state. Using the Method of Maximum Entropy, a derivation of maximum-entropy probability distributions on the state space that uses the developed geometric theory is characterized. Statistical analyses of these distributions, including parameter estimation, are also presented. These probability distributions and the statistical analysis thereof are original contributions. Using the bayesian framework, two recursive estimation algorithms, both of which rely on noisy measurements on (special cases of) the Grassmann manifold, are the devised and implemented numerically. The first is applied to an idealized scenario, the second to a more practically motivated scenario. The novelty of both of these algorithms lies in the use of thederived maximumentropy probability measures as models for the priors. Numerical simulations demonstrate that, under mild assumptions, both estimation algorithms produce accurate and statistically meaningful outputs. This thesis aims to chart the interface between differential geometry and statistical signal processing. It is my deepest hope that the geometric-statistical approach underlying this work facilitates and encourages the development of new theories and new computational methods in geometry. Application of these, in turn, will bring new insights and bettersolutions to a number of extant and emerging problems in signal processing.
ContributorsCrider, Lauren N (Author) / Cochran, Douglas (Thesis advisor) / Kotschwar, Brett (Committee member) / Scharf, Louis (Committee member) / Taylor, Thomas (Committee member) / Turaga, Pavan (Committee member) / Arizona State University (Publisher)
Created2021