In [4] J. MYCIELSKI introduced a very general notion of multidimensional local interpretability of first ordet theories. If we definethe relation ~ between theories T, S by T~ S iff Tis multidimensionaly locally interpretable in S, then ~is a. preordering. The induced partia.l ordering is a la.ttice ordering, it is called tke lattice of local interpretability iypes. We consider theories formali...

We consider the impulse control of Levy processes under the infinite horizon, discounted cost criterion. Our motivating example is the cash management problem in which a controller is charged a fixed plus proportional cost for adding to or withdrawing from her reserve, plus an opportunity cost for keeping any cash on hand. Our main result is to provide a verification theorem for the optimality ...

A unified approach to sampling theorems for (wide sense) stat ionary random processes rests upon Hilbert space concepts. New results in sampling theory are obtained along the following lines: recovery of the process x(t) from nonperiodic samples, or when any finite number of samples are deleted; conditions for obtaining x (t) when only the past is sampled; a criterion for restoring x(t) from a ...

The main text assumes stability of the open loop system, both to guarantee the existence of the xed point x̄, and to justify the application of the Nyquist criterion. Here we argue that this condition holds for networks trainable by Echo State protocol [1] or by FORCE [2]. The terms "echo state property" and "fading memory property" coined in [1] refer to the requirement for globally convergent ...

The sensing matrix of a compressive system impacts the stability of the associated sparse recovery problem. In this paper, we study the sensing matrix of the modulated wideband converter, a recently proposed system for sub-Nyquist sampling of analog sparse signals. Attempting to quantify the conditioning of the converter sensing matrix with existing approaches leads to unreasonable rate require...

An experimental investigation of the parameters controlling the whistling frequency and amplitude of an orifice in a confined turbulent flow is undertaken. A circular single hole orifice with sharp edges, a hole diameter equal to 0.015 m and a thickness equal to 0.005 m, is arranged in an air test rig with an inner diameter equal to 0.03 m. The Mach number ranges around 0.02 and the Reynolds nu...

Nonlinear distortions and memory effect of broadband receiver’s front-end are canceled out simultaneously using a digital post-calibration technique based on Volterra model. This paper develops a least mean squared blind identification criterion for the measurement of the model parameters without prior knowledge of the received signals, and the optimization goal could be described as for the mi...

We report the implementation of an on-chip microscope system, termed fluorescence optofluidic microscope (FOFM), which is capable of fluorescence microscopy imaging of samples in fluid media. The FOFM employs an array of Fresnel zone plates (FZP) to generate an array of focused light spots within a microfluidic channel. As a sample flows through the channel and across the array of focused light...

Compressive sensing (CS) describes how sparse signals can be accurately reconstructed from many fewer samples than required by the Nyquist criterion. Since MRI scan duration is proportional to the number of acquired samples, CS has been gaining significant attention in MRI. However, the computationally intensive nature of CS reconstructions has precluded their use in routine clinical practice. ...

In multi-circular synthetic aperture radar (MCSAR) mode, resolution and sidelobes are two important parameters to consider when representing imaging quality, as in other SAR imaging modes. In this paper, three-dimensional (3-D) resolution and cone-shaped sidelobes of MCSAR are analyzed for a point target in the scene center under the Nyquist sampling criterion. The results of the analysis show ...