A novel noncoherent receiver for M{ary di erential phase shift{keying (MDPSK) signals transmitted over intersymbol interference (ISI) channels is presented. The noncoherent receiver consists of a linear equalizer and a decision{feedback di erential detector. A signi cant performance gain over a previously proposed noncoherent receiver can be observed. For an in nite number of feedback symbols, ...

This paper considers the ®xed-structure, discrete-time mixed H2=H1 controller synthesis problem in the delta operator (di€ erence operator) framework. The di€ erential operator and shift operator versions of the problem are reviewed for comparison, and necessary conditions are derived for all three formulations. A quasi-Newton/continuation algorithm is then used to obtain approximate solutions ...

Transfer functions models of linear systems are a well established tool for the design and analysis of one-dimensional systems. This is not the case for multidimensional physical systems, given in terms of initial boundary value problems. Here, the only mathematical description of widespread use are partial di erential equations. This contribution shows, how the one-dimensional transfer functio...

Prediction and ltering of continuous-time stochastic processes require a solver of a continuous-time di erential Lyapunov equation (cdle). Even though this can be recast into an ordinary di erential equation (ode), where standard solvers can be applied, the dominating approach in Kalman lter applications is to discretize the system and then apply the discrete-time di erence Lyapunov equation (d...

This work is our rst attempt in establishing the connections between evolutionary computation algorithms and stochastic approximation procedures By treating evo lutionary algorithms as recursive stochastic procedures we study both constant gain and decreasing step size algorithms We formulate the problem in a rather general form supply the su cient conditions for convergence both with probabili...

Weconstructmolli cation operators in strongly Lipschitz domains that do not invoke non-trivial extensions, are Lp stable for any real number p ∈ [1,∞], and commutewith thedi erential operators∇,∇×, and ∇⋅. We also constructmolli cation operators satisfying boundary conditions and use them to characterize the kernel of traces related to the tangential and normal trace of vector elds. We use the ...

Conventional stereo algorithms often fail in accurately reconstructing a 3D object because the image data do not provide enough information about the geometry of the object. We propose a way to incorporate a priori information in a reconstruction process from a sequence of calibrated face images. A 3D mesh modeling the face is iteratively deformed in order to minimize an energy function. Di ere...

We study nonlinear income taxation in a Roy model in which agents’ productivity is sectorspecific. We show that when income taxes can be sector-specific, the Diamond-Mirrlees theorem (according to which the second-best displays production e ciency) fails: social welfare (be it Rawlsian or Weighed Utilitarian) can be increased by assigning some agents to their least productive sector. By sacrifi...

It is well known that given four point correspondences under perspectivity, we uniquely can determine a projectively invariant reference frame for planar scenes. We extend this result to all semi-diierential data correspondences having enough degrees of freedom to perform resection. For example, three points together with rst and second curve derivatives in one of them suuce for unique frame de...