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Results 11 - 20
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M-channel Linear Phase Perfect Reconstruction Filter Bank with Rational Coefficients
- IEEE Trans. on Signal Processing
, 1999
"... This paper introduces a general class of M-channel linear phase perfect reconstruction lter banks with rational coefficients. A subset of the presented solutions has dyadic coefficients, leading to multiplierless implementations suitable for low-power mobile computing. All of these filter banks are ..."
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Cited by 36 (19 self)
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This paper introduces a general class of M-channel linear phase perfect reconstruction lter banks with rational coefficients. A subset of the presented solutions has dyadic coefficients, leading to multiplierless implementations suitable for low-power mobile computing. All of these filter banks
Rational Coefficient Dual-Tree Complex Wavelet Transform: Design and Implementation
- IEEE Trans. on Signal Processing
, 2008
"... The dual-tree complex wavelet transform (CWT) has recently received significant interest in the wavelet community, owing primarily to its directional selective and near-shift invariant properties. It has been shown that with two separate maximally-decimated and dyadic decompositions where filters a ..."
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Cited by 6 (0 self)
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are offset by a half sample, the resulting CWT wavelet bases form an approximate Hilbert transform pair. In this paper, we present the design, implementation and applications of several families of orthogonal as well as biorthogonal rational-coefficient wavelet filters that satisfy the Hilbert transform pair
Non-Schlesinger Deformations of Ordinary Differential Equations with Rational Coefficients
- J. Phys. A: Math. Gen
, 2001
"... We consider deformations of 2 ×2 and 3 ×3 matrix linear ODEs with rational coefficients with respect to singular points of Fuchsian type which don’t satisfy the wellknown system of Schlesinger equations (or its natural generalization). Some general statements concerning reducibility of such deformat ..."
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Cited by 2 (1 self)
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We consider deformations of 2 ×2 and 3 ×3 matrix linear ODEs with rational coefficients with respect to singular points of Fuchsian type which don’t satisfy the wellknown system of Schlesinger equations (or its natural generalization). Some general statements concerning reducibility
Homological Algebra of Mirror Symmetry
- in Proceedings of the International Congress of Mathematicians
, 1994
"... Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3-dimensional Calabi-Yau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual Ca ..."
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Cited by 523 (3 self)
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Calabi-Yau manifolds V, W of dimension n (not necessarily equal to 3) one has dim H p (V, Ω q) = dim H n−p (W, Ω q). Physicists conjectured that conformal field theories associated with mirror varieties are equivalent. Mathematically, MS is considered now as a relation between numbers of rational curves
A CONTRIBUTION TO THE RUNGE-KUTTA FORMULAS OF THE 7TH ORDER WITH RATIONAL COEFFICIENTS FOR THE SYSTEM OF DIFFERENTIAL EQUATIONS OF THE 1ST ORDER
, 1983
"... A contribution to Runge-Kutta formulas of the 7th order with rational coefficients for systems of differential equations of the first order ..."
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A contribution to Runge-Kutta formulas of the 7th order with rational coefficients for systems of differential equations of the first order
A NEW SUMMATION METHOD FOR POWER SERIES WITH RATIONAL COEFFICIENTS
"... Abstract. We show that an asymptotic summation method, recently proposed by the authors, can be conveniently applied to slowly convergent power series whose coefficients are rational functions of the summation index. Several numerical examples are presented. ..."
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Abstract. We show that an asymptotic summation method, recently proposed by the authors, can be conveniently applied to slowly convergent power series whose coefficients are rational functions of the summation index. Several numerical examples are presented.
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