Browsing by Subject "differential geometry"
Now showing items 1-6 of 6
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Covariant Weyl quantization, symbolic calculus, and the product formula
(Texas A&M University, 2006-08-16)A covariant Wigner-Weyl quantization formalism on the manifold that uses pseudo-differential operators is proposed. The asymptotic product formula that leads to the symbol calculus in the presence of gauge and gravitational ... -
Geometry and constructions of finite frames
(2009-05-15)Finite frames are special collections of vectors utilized in Harmonic Analysis and Digital Signal Processing. In this thesis, geometric aspects and construction techniques are considered for the family of k-vector frames ... -
Hertz Potentials and Differential Geometry
(2011-08-08)I review the construction of Hertz potentials in vector calculus starting from Maxwell's equations. From here, I lay the minimal foundations of differential geometry to construct Hertz potentials for a general (spatially ... -
Robust Framework for System Architecture and Hand-offs in Wireless and Cellular Communication Systems
(2010-01-14)Robustness of a system has been defined in various ways and a lot of work has been done to model the robustness of a system, but quantifying or measuring robustness has always been very difficult. In this research, we ... -
Robustness analysis of linear estimators
(Texas A&M University, 2004-09-30)Robustness of a system has been defined in various ways and a lot of work has been done to model the system robustness , but quantifying or measuring robustness has always been very difficult. In this research we consider ... -
Robustness measures for signal detection in non-stationary noise using differential geometric tools
(Texas A&M University, 2007-04-25)We propose the study of robustness measures for signal detection in non-stationary noise using differential geometric tools in conjunction with empirical distribution analysis. Our approach shows that the gradient can be ...