Propagation characteristics of Gaussian Schell-model fields through first-order optical systems and in free space are analyzed by the method of generalized rays. This allows the development of a simple geometrical description of these processes. The invariance of the degree of global coherence is established in full generality. Asymptotic behavior under free propagation and the emergence of a f...

Congruent coordinate transformations are used to convert second-order models to a form in which the mass, damping and stiffness matrices can be interpreted as a passive mechanical system. For those systems which can be constructed from interconnected mass, stiffness and damping elements, it is shown that the input-output preserving transformations can be parameterized by an orthogonal matrix wh...

the efficiency and robustness of reliability methods are two important factors in first order reliability method (form). the conjugate choice control (ccc) and directional chaos control method (dcc) were developed to improve the robustness and efficiency of form formula using the stability transformation method. in this paper, the ccc and dcc methods are applied for reliability analysis of a co...

The parameterization process used in the symbolic computation systems Kenzo and EAT is studied here as a general construction in a categorical framework. This parameterization process starts from a given specification and builds a parameterized specification by transforming some operations into parameterized operations, which depend on one additional variable called the parameter. Given a model...

Parameterized models appear in a wide range of practical applications. For instance during the design process for microsystems, complex models will be constructed which include geometric parameters. For the use in interconnect synthesis parameterized interconnect models are required. The usual model reduction allows a remarkable acceleration of timeor frequency-dependent evaluations. However, t...

This paper proposes a new F0 model for speech synthesis based on the parameterization of the logF0 contour of the syllables. This parameterization consists of the N -order discrete cosine transform (DCT) plus some additional parameters such as the gradient of the syllable average pitch. A statistical model of the syllable pitch contour is then created by clustering the parameterized vectors wit...