منابع مشابه
The Taylor Series for Bandlimited Signals
We study a special type of infinite product, called an infinite product of Cardano type, and we obtain its Taylor series. We prove that Hadamard's factorization of bandlimited signals is given by an infinite product of Cardano type, and apply our results to obtain the Taylor series for bandlimited signals.
متن کاملStochastic Non-Bandlimited Signals
We propose a level-crossing A/D (LCA/D) converter which can be modelled with an oversampling A/D followed by a low resolution quantizer. In this paper we will study the reconstruction of non-bandlimited inputs processed by such a system and compare its performance to uniform sampling. Index Termslevel-crossing sampling, MSE, Haar wavelets, bitrate.
متن کاملOptimal input signals for bandlimited scanning systems ⋆
Periodic scanning trajectories are designed with minimal harmonic content and fixed linear regions. While minimum harmonic content reduces vibration in mechanical scanners, fixed linear regions eliminate curvature in the scan area. Simulated and experimental results demonstrate less induced vibration than presently used techniques.
متن کاملOn sampling theorems for non bandlimited signals
It is well-known that certain non bandlimited signals such as splines can be reconstructed from uniformly spaced samples similar to bandlimited signals. This usually requires noncausal IIR filters. We revisit this result and consider extensions such as derivative sampling theorems and pulse sampling theorems. It turns out that spline-like signals can often be reconstructed from joint sampling o...
متن کاملThe Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
This paper presents the numerical solution for a class of fractional differential equations. The fractional derivatives are described in the Caputo cite{1} sense. We developed a reproducing kernel method (RKM) to solve fractional differential equations in reproducing kernel Hilbert space. This method cannot be used directly to solve these equations, so an equivalent transformation is made by u...
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ژورنال
عنوان ژورنال: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
سال: 1994
ISSN: 0334-2700,1839-4078
DOI: 10.1017/s0334270000010262