In this paper conditional hidden Markov model (HMM) lters and conditional Kalman lters (KF) are coupled together to improve demodulation of di erential encoded signals in noisy fading channels. We present an indicator matrix representation for di erential encoded signals and the optimal HMM lter for demodulation. The lter requires O(N) calculations per time iteration, where N is the number of m...

where the coecients a; b; c; m are random and satisfy some conditions to be speci®ed later, the function u ˆ u…x; t; x† is supposed to be nonnegative, u; u are the ®rst and second derivatives of u with respect to x 2 R, and du is Itoà 's stochastic di€erential of u with respect to t. Actually, equation (0.1) has to be understood in a certain generalized sense since, for instance, the series Pr...

in this article, a mathematical model describing the growth orterminating myelogenous leukemia blood cancer's cells against naive t-celland eective t-cell population of body, presented by fractional dierentialequations. we use this model to analyze the stability of the dynamics, whichoccur in the local interaction of eector-immune cell and tumor cells. wewill also investigate the optima...

The method of modi®ed equations is studied as a technique for the analysis of ®nite di€erence equations. The non-uniqueness of the modi®ed equation of a di€erence method is stressed and three kinds of modi®ed equations are introduced. The ®rst modi®ed or equivalent equation is the natural pseudo-di€erential operator associated to the original numerical method. Linear and nonlinear combinations ...

Similarity transforms of the Boussinesq equation in a semi-in®nite medium are available when the boundary conditions are a power of time. The Boussinesq equation is reduced from a partial di€erential equation to a boundary-value problem. Chen et al. [Trans Porous Media 1995;18:15±36] use a hodograph method to derive an integral equation formulation of the new di€erential equation which they sol...

The aim of this paper is to provide exact inference in nite sample for econometric models whose likelihood function is intractable and require thereby simulation-based estimation method like Indirect Inference Method or E cient Method of Moments. To do so, we resort to the technique of Monte Carlo Tests which naturally applies to any simulable model. In particular, maximized Monte Carlo tests a...

Steady vortex ows past a circular cylinder are obtained numerically as solutions of the partial di erential equation = f( ). We illustrate several classes of solutions.

This paper considers the security of iterated block ciphers against the di erential cryptanalysis introduced by Biham and Shamir Di erential cryptanalysis is a chosen plaintext attack on secret key block ciphers that are based on iterating a cryptographically weak function r times e g the round Data Encryption Standard DES It is shown that the success of such attacks on an r round cipher depend...

In this paper, we are concerned with a class of nonlinear implicit fractional di?erential equation adiscrete delay. By means the contraction mapping principle, prove existence unique solution.Then, investigate continuous dependence solution upon initial delay data and Ulamstability.

A system of a parabolic partial di erential equation coupled with ordinary di erential inclusions that arises from a closed-loop control problem for a thermodynamic process governed by the Allen-Cahn di usion reaction model is studied. A feedback law for the closed-loop control is proposed and implemented in the case of a nite number of control devices located inside the process domain basing o...