Results 11 to 20 of about 2,105 (196)
C1 rational quadratic trigonometric spline
A Bézier like C1 rational quadratic trigonometric polynomial spline is developed. It defines two shape parameters in each subinterval. The approximation and geometric properties are investigated. The curvature continuity is established.
Maria Hussain, Sidra Saleem
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Covariance of the number of real zeros of a random trigonometric polynomial
For random coefficients aj and bj we consider a random trigonometric polynomial defined as Tn(θ)=∑j=0n{ajcosjθ+bjsinjθ}. The expected number of real zeros of Tn(θ) in the interval (0,2π) can be easily obtained. In this note we show that this number is
K. Farahmand, M. Sambandham
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SOME ASPECTS OF THE THEORY OF WAVELETS
The aim of this paper is to briefly discuss some strategies that have been developed for the construction of trigonometric polynomial m0 under certain conditions.
Luis Miguel Núñez Ramírez +2 more
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Trigonometric Polynomial Interpolation of Images [PDF]
For 1D and 2D signals, the Shannon-Whittaker interpolation with periodic extension can be formulated as a trigonometric polynomial interpolation (TPI). In this work, we describe and discuss the theory of TPI of images and some of its applications. First, the trigonometric polynomial interpolators of an image are characterized and it is shown that there
Briand, Thibaud
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Efficient spectral estimation by MUSIC and ESPRIT with application to sparse FFT
In spectral estimation, one has to determine all parameters of an exponential sum for finitely many (noisy)sampled data of this exponential sum.Frequently used methods for spectral estimation are MUSIC (MUltiple SIgnal Classification) and ESPRIT ...
Daniel ePotts +2 more
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Proof of an inequality for trigonometric polynomials [PDF]
Let a trigonometric polynomial have only real roots. An inequality is proved, relating the average value of the trigonometric polynomial between two consecutive roots to its maximal absolute value.
G. K. Kristiansen
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Inequalities for trigonometric polynomials
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Department of Mathematics, University of Florida, Gainesville, Florida 32611, U.S.A. ( host institution ) +1 more
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High Performance Implementation and Optimization of Trigonometric Functions Based on SIMD [PDF]
As a basic mathematical operation,the high-performance implementation of trigonometric functions is of great significance to the construction of the basic software ecology of the processor.Especially,the current processors have adopted the SIMD ...
YAO Jian-yu, ZHANG Yi-wei, ZHANG Guang-ting, JIA Hai-peng
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Parameter N Analysis on the Rational-Talbot Algorithm for Numerical Inversion of Laplace Transform
This article investigates the numerical inversion of the Laplace Transform by the Rational-Talbot method and analyzes the influence on the variation of the free parameter N established by the technique when applied to certain functions.
Elisandra Freitas +4 more
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Bacillus amyloliquefaciens BLB369 is an important plant growth-promoting bacterium, which produces antifungal compounds. A statistics-based experimental design was used to optimize a liquid culture medium using inexpensive substrates for increasing its ...
Imen Zalila-Kolsi +3 more
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