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Longer titles found: Hájek–Le Cam convolution theorem (view), Titchmarsh convolution theorem (view)

searching for convolution theorem 17 found (87 total)

Overlap–add method (1,040 words) [view diff] exact match in snippet view article find links to article

more efficiently than linear convolution, according to the circular convolution theorem: where: DFTN and IDFTN refer to the Discrete Fourier transform and

Negacyclic convolution (45 words) [view diff] exact match in snippet view article find links to article

wrapped convolution. It results from multiplication of a skew circulant matrix, generated by vector a, with vector b. Circular convolution theorem v t e

Overlap–save method (1,511 words) [view diff] exact match in snippet view article find links to article

more efficiently than linear convolution, according to the circular convolution theorem: where: DFTN and IDFTN refer to the Discrete Fourier transform and

Regular estimator (226 words) [view diff] case mismatch in snippet view article find links to article

AW van der. Asymptotic Statistics. Cambridge University Press; 1998. Beran, R. (1995). THE ROLE OF HAJEK'S CONVOLUTION THEOREM IN STATISTICAL THEORY

Circulant matrix (2,849 words) [view diff] exact match in snippet view article find links to article

} are cyclically extended in each direction. Using the circular convolution theorem, we can use the discrete Fourier transform to transform the cyclic

Optical neural network (1,759 words) [view diff] exact match in snippet view article find links to article

introduced by Cahng et al., employs a 4F system that is based on the convolution theorem to perform convolution operations. This system uses two lenses to

Moment (mathematics) (3,066 words) [view diff] exact match in snippet view article

the function given in the brackets. This identity follows by the convolution theorem for moment generating function and applying the chain rule for differentiating

Refinable function (1,950 words) [view diff] exact match in snippet view article find links to article

functions with successive integral nodes are refinable, because of the convolution theorem and the refinability of the characteristic function for the interval

James–Stein estimator (2,105 words) [view diff] case mismatch in snippet view article find links to article

1, pp. 361–379, MR 0133191 Beran, R. (1995). THE ROLE OF HAJEK’S CONVOLUTION THEOREM IN STATISTICAL THEORY Lehmann, E. L.; Casella, G. (1998), Theory

Discrete dipole approximation (2,668 words) [view diff] exact match in snippet view article find links to article

equations, and FFT-acceleration of the matrix-vector products which uses convolution theorem. Complexity of this approach is almost linear in number of dipoles

Fluorescence-lifetime imaging microscopy (3,092 words) [view diff] exact match in snippet view article find links to article

short lifetimes goes down. One of the interesting features of the convolution theorem is that the integral of the convolution is the product of the factors

Wigner distribution function (3,607 words) [view diff] exact match in snippet view article find links to article

}^{\infty }W_{x}(t,\rho )W_{h}(t,f-\rho )\,d\rho \end{aligned}}} Convolution theorem If y ( t ) = ∫ − ∞ ∞ x ( t − τ ) h ( τ ) d τ then W y ( t , f )

Two-sided Laplace transform (1,995 words) [view diff] exact match in snippet view article find links to article

theorem is proved by applying the inverse Laplace transform on the convolution theorem in form of the cross-correlation. Let f ( t ) {\displaystyle f(t)}

Mellin transform (4,688 words) [view diff] exact match in snippet view article find links to article

{\sin(s(\theta _{0}+\theta ))}{\sin(2\theta _{0}s)}}} Now by the convolution theorem for Mellin transform, the solution in the Mellin domain can be inverted:

Fraunhofer diffraction equation (6,002 words) [view diff] exact match in snippet view article find links to article

_{n=1}^{N}\operatorname {rect} \left[{\frac {x'-nS}{W}}\right]} Using the convolution theorem, which says that if we have two functions f(x) and g(x), and we have

Frequency selective surface (6,331 words) [view diff] exact match in snippet view article find links to article

simple multiplication in the spectral domain, consistent with the convolution theorem for Fourier transforms. With this equation for the electric field

Meijer G-function (10,023 words) [view diff] exact match in snippet view article find links to article

positive real axis can be represented by just another G-function (convolution theorem): ∫ 0 ∞ G p , q m , n ( a p b q | η x ) G σ , τ μ , ν ( c σ d τ |