Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang-Fix
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We present an efficient method to model the small-signal modulation response of a long-wavelength VCSEL chip using an equivalent electrical circuit. This circuit serves two distinct purposes. Based on T-Matrix formalism, it is used to remove the parasitics ...
We study the problem of A/D conversion and error-rate dependence of a class of non-bandlimited signals which have a finite rate of innovation, particularly, a continuous periodic stream of Diracs, characterized by a finite set of time positions and weights ...
A Dirichlet problem for orthogonal Hessians in two dimensions is explicitly solved, by characterizing all piecewise C-2 functions u Omega subset of R-2 -> R with orthogonal Hessian in terms of a property named "second order angle condition" as in (1 1) ...
For phase estimation in digital holographic interferometry, a high-order instantaneous moments (HIM) based method was recently developed which relies on piecewise polynomial approximation of phase and subsequent evaluation of the polynomial coefficients us ...
Aliasing in images is often considered as a nuisance. Artificial low frequency patterns and jagged edges appear when an image is sampled at a too low frequency. However, aliasing also conveys useful information about the high frequency content of the image ...
We consider the problem of actively learning \textit{multi-index} functions of the form f(x)=g(Ax)=∑i=1kgi(aiTx) from point evaluations of f. We assume that the function f is defined on an ℓ2-ball in \Reald, g is twice contin ...
We study a multichannel sampling scheme, where different channels observe scaled and shifted versions of a common bandlimited signal. The channel gains and offsets are unknown a priori, and each channel samples at sub-Nyquist rates. This setup appears in m ...
Memristors are passive circuit elements that behave as resistors with memory. The recently illustrated experimental realization of memristive behaviour of Polysilicon Nanowires has triggered interest in this concept, which is promising to a wide variety of ...
This paper describes the implementation of a 12-bit 230 MS/s pipelined ADC using a conventional 1.8V, 0.18μm digital CMOS process. Two-stage folded cascode OTA topology is used for improved settling performance. Extreme low-skew (less than 3ps peak-to-peak ...
Consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, piecewise polynomial or piecewise sinusoidal signals, and call the number of degrees of freedom ...