and Applied Analysis 3 where α > 0, λ > 0, and p > 1. Their proof revealed that if the initial data is small enough, then there exists a unique solution. Once removing the assumption that the initial data is small, then one should addN ≤ 4 with p > 1 orN ≥ 5 with 1 < p ≤ N/ N−4 to assure the existence of a unique solution. Further, from their results, one can also find that the solutions of 1.5...

Voice quality is currently a key issue in speech synthesis research. The lack of realistic intra-speaker voice quality variation is an important source of concern for concatenation-based synthesis methods. A challenging problem is to reproduce the voice quality changes that are occuring in natural speech when the vocal e ort is varying. A new method for voice quality modi cation is presented. I...

To extract source signals with certain temporal structures, such as periodicity, we propose a two-stage extraction algorithm. Its first stage uses the autocorrelation property of the desired source signal, and the second stage exploits the independence assumption. The algorithm is suitable to extract periodic or quasi-periodic source signals, without requiring that they have distinct periods. I...

In many applications, such as biomedical engineering, it is often required to obtain specific periodic source signals. In this paper, we propose a two-stage based approach for extracting periodic signals. At the first stage, the autocorrelation property of the desired source signal is exploited to roughly extract the desired source signal. At the second stage, the extracted signal is further pr...

For a modified Kepler problem, we reexamine jumps in the saturation spectral rigidity and large oscillations of the level number variance with near zero minima. Earlier discrepancy between the periodic orbit theory and numerical calculation is cleared by a quantum mechanical calculation. A new class of radial periodic orbits is included establishing a complete correspondence between the periodi...

An efficient yet accurate estimation of the tail distribution of the queue length has been considered as one of the most important issues in call admission and congestion controls in ATM networks. The arrival process in ATM networks is essentially a superposition of sources which are typically bursty and periodic either due to their origin or their periodic slot occupation after traffic shaping...

The paper proposes an efficient method to analyze the response of periodic structures to non-periodic excitations in the time domain, employing the Finite-Difference Time-Domain (FDTD) method. To that end, the array-scanning method, which has been previously associated with frequency-domain, integral formulations of periodic structure problems, is translated into the context of FDTD. Hence, the...

Autoregressive (AR) models have been shown to be effective models of speech signal. However, although it is the most common mode1 of speech, an AR process excited by white noise for speech enhancement, fails to capture the effects of source excitation, especidy the quasi periodic nature of voiced speech. Speech synthesis researchers have long recognized this ~roblern and have developed a variet...

In this paper, we derive the bounds formulas for the asymptotic tail distribution in a queue whose arrival process is a superposition of general periodic Markov sources. Note that we make no assumption for the structure of the general periodic Markov sources except that the underlying Markov chains are irreducible. The periodic source model in this paper is thus rather general. Taking initial s...