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Truncation and aliasing errors for Whittaker-Kotelnikov-Shannon sampling expansion

Applied Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhanjie Song
exaly   +3 more sources

Error Analysis for Multi-Dimensional Shannon Sampling Expansion

2011 7th International Conference on Wireless Communications, Networking and Mobile Computing, 2011
Let $B^p_{\bf v}({\Bbb R}^d)$, $1\leq p< \infty,$ be the space of all bounded bandlimited functions from $L_p({\Bbb R}^d)$. The uniform bounds for truncated multi-dimensional Whittaker-Shannon series based on local sampling are derived for signal functions $f\in B^p_{\bf v}({\Bbb R}^d)$ without decay assumption.
Peixin Ye
exaly   +2 more sources

Error Bounds for Multi-dimensional Whittaker-Shannon Sampling Expansion

2011 International Conference on Multimedia and Signal Processing, 2011
Let B p v(R d ), 1 ≤ p< ∞, be the space of all bounded bandlimited functions from Lp(R d ). The uniform bounds for truncated multi-dimensional Whittaker-Shannon se- ries based on local sampling are derived for signal functions f ∈ B p v(R d ) without decay assumption.
Peixin Ye
exaly   +2 more sources

A logic cell architecture exploiting the shannon expansion for the reduction of configuration memory

2014 24th International Conference on Field Programmable Logic and Applications (FPL), 2014
Most modern field-programmable gate arrays (FPGAs) employ a look-up table (LUT) as their basic logic cell. Although a k-input LUT can implement any k-input logic, its functionality relies on a large amount of configuration memory. As FPGA scales improve, the increased quantity of configuration memory cells required for FPGAs will require a larger area ...
Motoki Amagasaki   +2 more
exaly   +2 more sources

Symbolic reliability analysis via Shannon's expansion and statistical independence

Microelectronics Reliability, 1985
Abstract A simple procedure for evaluating the symbolic reliability of a complex system in presented. The switching (Boolean) functions of system success and system failure are expressed as the intersections of complements to the prime implicants of these functions. Shannon's expansion about suitable keystone variables is repeatedly applied to either
Ali Rushdi
exaly   +2 more sources

An improved minimizing algorithm for sum of disjoint products by Shannon's expansion

Electric Power Systems Research, 1992
Abstract This paper presents a new method, the Schneeweiss-Liu revised (SLR) algorithm, to represent the reliability formula of a network system in the form of the nearly smallest number of the sum of the disjoint product (sdp) terms. The virtue of the SLR algorithm lies in its ability to express the Boolean function in sdp form on the basis of ...
H.H. Liu, W.T. Yang, C.C. Liu
exaly   +2 more sources

A Multi-criteria Approach for Distribution Network Expansion Through Pooled MCDEA and Shannon Entropy

International Journal of Emerging Electric Power Systems, 2019
Abstract Power distribution network expansion planning (DNEP), based on innovative load flow analysis and optimization techniques, has drawn great attention of researchers around the world to cater for ever increasing demand of electrical power.
Santosh Ghosh   +2 more
exaly   +2 more sources

Optimal order of truncation and aliasing errors for multi-dimensional Whittaker-Shannon sampling expansion

International Journal of Wireless and Mobile Computing, 2012
Optimal error bounds for multi-dimensional Shannon sampling expansion approximation are derived for both band-limited signals and some regular band-limited signals.
Peixin Ye
exaly   +2 more sources

Uniform truncation error for Shannon sampling expansion from local averages

Acta Mathematicae Applicatae Sinica, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhanjie Song
exaly   +2 more sources

1/Z expansion, correlation energy, and Shannon entropy of heavy atoms in nonrelativistic limit

International Journal of Quantum Chemistry, 1998
It has been known since the work of March and White that the simplest nonrelativistic density functional theory, namely, the statistical method of Thomas, Fermi, and Dirac, sums subseries of the so-called 1/Z expansion to yield, for heavy neutral atoms, the ground-state energy E= − a0Z7/3+ a1Z2−a2Z5/3+⋅⋅⋅.
GRASSI, Antonio   +3 more
openaire   +2 more sources

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