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alternate case: sinc function
Sinc numerical methods
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differential equations and integral equations based on the translates of sinc function and Cardinal function C(f,h) which is an expansion of f defined by CSmear (optics) (194 words) [view diff] exact match in snippet view article
modulation transfer function associated with smear is the standard sinc function associated with an extended sample M T F s m e a r ( u ) = sin ( πArg max (1,500 words) [view diff] case mismatch in snippet view article find links to article
if and only if x − 5 = 0. {\displaystyle x-5=0.} "The Unnormalized Sinc Function Archived 2017-02-15 at the Wayback Machine", University of Sydney RockafellarMaximum and minimum (2,094 words) [view diff] case mismatch in snippet view article find links to article
Paul. "Minimization and maximization refresher". "The Unnormalized Sinc Function Archived 2017-02-15 at the Wayback Machine", University of Sydney ForSpatial anti-aliasing (3,270 words) [view diff] exact match in snippet view article find links to article
based on convolution of the data with a discrete representation of the sinc function. If the resolution is not limited by the rectangular sampling rate ofDirichlet kernel (2,062 words) [view diff] exact match in snippet view article find links to article
signal processing, the Dirichlet kernel is often called the periodic sinc function: P ( ω ) = D n ( x ) | x = 2 π ω / ω 0 = sin ( π M ω / ω 0 ) sin Top-hat filter (250 words) [view diff] exact match in snippet view article find links to article
limited as the real-space representation of a top-hat filter is the sinc function, which has the often undesirable effect of incorporating non-local frequenciesFraunhofer diffraction equation (6,004 words) [view diff] exact match in snippet view article find links to article
{\frac {\pi Wx}{\lambda z}}\end{aligned}}} where sinc(p) = sin(p)/p. The sinc function is sometimes defined as sin(πp)/πp and this may cause confusion whenFourier operator (488 words) [view diff] exact match in snippet view article find links to article
the Fourier operator acts on an input rectangular pulse (on the far right) to generate its Fourier transform (on the left-hand side), a sinc function.Trigonometric interpolation (2,490 words) [view diff] no match in snippet view article find links to article
{sinc} \,{\tfrac {1}{2}}(x-x_{k})}}.\end{aligned}}} Here, the sinc-function prevents any singularities and is defined by s i n c x = sin x xPulse compression (5,513 words) [view diff] no match in snippet view article find links to article
having a width equal to the typical width of the s i n c {\displaystyle sinc} function, that is, a width T ′ = 1 / Δ f {\displaystyle T'=1/\Delta f} , so theComposite Bézier curve (1,925 words) [view diff] exact match in snippet view article find links to article
Sinc function approximated using a smooth Bézier spline, i.e., a series of smoothly-joined Bézier curvesPrime omega function (4,100 words) [view diff] no match in snippet view article find links to article
everywhere. Note that the normalized sinc {\displaystyle \operatorname {sinc} } function sinc ( x ) = sin ( π x ) π x {\displaystyle \operatorname {sinc}Dirac comb (3,470 words) [view diff] exact match in snippet view article find links to article
"multiplication with the rect function" is equivalent to "convolution with the sinc function." Hence, it restores the original function from its samples. This isOn-Line Encyclopedia of Integer Sequences (5,601 words) [view diff] case mismatch in snippet view article find links to article
A Function Based on Chebyshev Polynomials as an Alternative to the Sinc Function in FIR Filter Design, arXiv:2011.10546 [eess.SP], 2020. Wikipedia, RiemannMemory management controller (Nintendo) (2,173 words) [view diff] exact match in snippet view article
channels of PCM audio with an echo buffer, wavetable support, and smooth sinc function based interpolation) and direct access to 768M of ROM (indirectly 2List of numerical analysis topics (8,335 words) [view diff] exact match in snippet view article find links to article
representing level sets Sinc numerical methods — methods based on the sinc function, sinc(x) = sin(x) / x ABS methods Error analysis (mathematics) ApproximationQuantum noise (3,746 words) [view diff] exact match in snippet view article find links to article
over some time, will produce noise across its entire spectrum as a sinc function. Even in the classical case, noise is produced. To study quantum noiseStructure factor (7,575 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \times } [structure factor] ∗ {\displaystyle \ast } [ sinc function]. Thus the intensity, which is a delta function of position for theKosambi–Karhunen–Loève theorem (10,711 words) [view diff] exact match in snippet view article find links to article
{N_{0}}{2}}&|f|<w\\0&|f|>w\end{cases}}} Then the noise correlation function is sinc function with zeros at n 2 ω , n ∈ Z . {\displaystyle {\frac {n}{2\omega }},n\inAnthony E. Siegman (5,111 words) [view diff] exact match in snippet view article find links to article
J. Chem. Phys. 61, 3828 (1 November 1974). A. E. Siegman, "Why the sinc function should be defined as (sin x)/x and not as (sin pi x)/(pi x)," Appl.Chirp spectrum (6,293 words) [view diff] exact match in snippet view article find links to article
its matched filter, then the resultant waveform approximates to the sinc function and, consequently, has annoyingly high sidelobes. Often, to improve