Results 81 to 90 of about 21,801 (102)
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Journal of Modern Optics, 1997
This work offers a new method of finding a solution to a wide class of diffraction problems by the use of an expansion of a radiator distribution in a spectrum of Kotelnikov-Shannon sampling functions. From this point of view, the electromagnetic radiation of a spatially limited object is presented as a finite discrete sum of elementary beams, each of ...
Wladimir Rysakov, Marian Ston
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This work offers a new method of finding a solution to a wide class of diffraction problems by the use of an expansion of a radiator distribution in a spectrum of Kotelnikov-Shannon sampling functions. From this point of view, the electromagnetic radiation of a spatially limited object is presented as a finite discrete sum of elementary beams, each of ...
Wladimir Rysakov, Marian Ston
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Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khosrow Maleknejad
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khosrow Maleknejad
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Uniform Truncation Error for Shannon Sampling Expansion
2010 International Conference on Computational Intelligence and Software Engineering, 2010Let B be the set of all bounded functions from L^p which can be extended to entire functions of exponential type Ω. The uniform bounds for truncation error of Shannon sampling expansion from local averages are obtained for functions f in B with the decay condition .
Sheng Zhang, Peixin Ye
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An area-efficient timing closure technique for FPGAs using Shannon's expansion
Integration, 2007This paper presents a technique to optimize the speed performance of circuits implemented in FPGAs. After synthesis, technology mapping and placement are complete, we apply Shannon's expansion to the most critical sections of the circuit. This approach allows us to precompute the values of functions that depend on late-arriving critical signals and use
Deshanand P. Singh, Stephen Dean Brown
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On Gibbs constant for the Shannon wavelet expansion
Korean Journal of Computational & Applied Mathematics, 1997Summary: Even though the Shannon wavelet is a prototype of wavelets, it lacks condition on decay which most wavelets are assumed to have. By providing a sufficient condition to compute the size of Gibbs phenomenon for the Shannon wavelet series, we can see the overshoot is proportional to the jump at discontinuity.
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Shannon Expansion Based Supply-Gated Logic for Improved Power and Testability
14th Asian Test Symposium (ATS'05), 2005Structural transformation of a design to enhance its testability while satisfying design constraints on power and performance, can result in improved test cost and test confidence. In this paper, we analyze the testability in a new style of logic design based on Shannons decomposition and supply gating.
Swaroop Ghosh +2 more
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Shannon’s expansion theorem-based multiplexer synthesis using QCA
Nanomaterials and Energy, 2016Quantum dot-cellular automata (QCA) achieved their fame in designing low-power nanodevices for logic computation. Shannon’s expansion theorem helps to achieve a design for digital logic circuits that has three or more levels of logic with minimum implementation cost – that is, a smaller number of logic gates.
Jadav Chandra Das, Debashis De
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An improved minimizing algorithm for the summation of disjoint products by Shannon's expansion
Microelectronics Reliability, 1993Abstract This paper presents a new method, the SLR algorithm, of representing the reliability formula of network system in the form of the near smallest number of sdp terms. The virtue of SLR lies in its ability to express the Boolean function in sdp form on the basis of Shannon's expansion theorem, reducing the number of sdp terms to the near ...
H.H. Liu, W.T. Yang, C.C. Liu
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On the Rate of Convergence of Shannon Wavelet Expansion for Functions of Local ΛBV
Acta Mathematica Hungarica, 1997The main purpose of the paper is to investigate the convergence of the partial sum \(S_n(f,x)\) of the Shannon wavelet expansion for functions of local \(\Lambda\)BV and to estimate the rate of convergence. The author considered the orthonormal bases of wavelets in \(L^2(R)\) and assumed only the standard conditions on the wavelets; the scaling ...
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Uniform bounds of truncation error for shannon sampling expansion
International Conference on Information Science and Technology, 2011Let Bp Ω , 1 ≤ p ≤ 8; be the set of all bounded functions from Lp(ℝ) which can be extended to entire functions of exponential type ℝ. The uniform bounds for truncation error of Shannon sampling expansion from local averages are obtained for functions f ∈ Bp Ω with the decay condition equation where A and δ are positive constants.
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