Sentence examples for sampling formula from inspiring English sources

In [19], Qian has introduced the following regularized sampling formula.

We study some problems related to the effect of bounded, additive sample noise in the bandlimited interpolation given by the Whittaker Shannon Kotelnikov (WSK) sampling formula.

Then F is an entire function of exponential type that can be reconstructed from its values at the points { λ n } n = − ∞ ∞ via the sampling formula F = ∑ n = − ∞ ∞ F ( λ n ) ω ( λ − λ n ) ω ′ ( λ n ).

Then F is an entire function of exponential type ( b − a ) that can be reconstructed from its values at the points { λ n } n = 0 ∞ via the sampling formula F = ∑ n = 0 ∞ F ( λ n ) ω ( λ − λ n ) ω ′ ( λ n ).

Then (F lambda)) is an entire function of exponential type that can be reconstructed from its values at the points ({lambda_{n}}_{n=-infty}^{infty}) via the sampling formula F lambda)=sum_{n=-infty}^{infty}F( lambda_{n})frac{Omega (lambda)}{ (lambda-lambda_{n} Omega^{prime}(lambda-lambda_{n} Omega^{prime

Starting from a function theory approach, cf. [15], it is proved in [16] that if (mathcal{K}(w,lambda)), (win I), (lambdainmathbb{C}) satisfies some analyticity conditions, then Kramer's sampling formula (1.7) turns out to be a Lagrange interpolation one, see also [17 19].

Determination of sample size was based on a proportionate to size sampling formulae (Groebner and Shannon 2005).

In this paper, new sampling formulae for reconstructing signals that are band-limited or time-limited in the linear canonical transform sense have been proposed.

In the same manner as used to derive Eq. (5), one can add these first standard deviations to Eqs. (6) and (7) to get RMSD sampling formulas Eqs.

The meta and local Zero-Sum-Multinomial distributions (mZSM and lZSM, respectively) were fitted to rank-abundance data using Etienne and Ewens sampling formulae, respectively [58].

An attractive feature of the spatially implicit model (with one or more local communities) is its analytical tractability and its amenability to data comparison through the use of sampling formulas [31], [32].