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SINC FUNCTION

  • Sinc function
  • Special mathematical function defined as sin(x)/x

    engineering, the sinc function (/ˈsɪŋk/ SINK), denoted by sinc(x), is defined as either sinc ⁡ ( x ) = sin ⁡ x x . {\displaystyle \operatorname {sinc} (x)={\frac

    Sinc function

    Sinc function

    Sinc_function

  • Sinc filter
  • Ideal low-pass filter or averaging filter

    In signal processing, a sinc filter can refer to either a sinc-in-time filter whose impulse response is a sinc function and whose frequency response is

    Sinc filter

    Sinc filter

    Sinc_filter

  • Rectangular function
  • Function whose graph is 0, then 1, then 0 again, in an almost-everywhere continuous way

    Applications to Radar" as an ideal cutout operator, together with the sinc function as an ideal interpolation operator, and their counter operations which

    Rectangular function

    Rectangular function

    Rectangular_function

  • Ringing artifacts
  • Form of error in digital signals; spurious signals near sharp transitions

    time domain, the cause of this type of ringing is the ripples in the sinc function, which is the impulse response (time domain representation) of a perfect

    Ringing artifacts

    Ringing artifacts

    Ringing_artifacts

  • Lanczos resampling
  • Technique in signal processing

    copy of the Lanczos kernel, which is a sinc function windowed by the central lobe of a second, longer, sinc function. The sum of these translated and scaled

    Lanczos resampling

    Lanczos resampling

    Lanczos_resampling

  • Nyquist–Shannon sampling theorem
  • Sufficiency theorem for reconstructing signals from samples

    sinc function scaled to the sample value, x ( n T ) . {\displaystyle x(nT).} Subsequently, the sinc functions are summed into a continuous function.

    Nyquist–Shannon sampling theorem

    Nyquist–Shannon sampling theorem

    Nyquist–Shannon_sampling_theorem

  • Gibbs phenomenon
  • Oscillatory error in Fourier series

    }{N}}\right)\right)} If we introduce the normalized sinc function sinc ⁡ ( x ) = sin ⁡ ( π x ) π x {\textstyle \operatorname {sinc} (x)={\frac {\sin(\pi x)}{\pi x}}} for

    Gibbs phenomenon

    Gibbs_phenomenon

  • Whittaker–Shannon interpolation formula
  • Signal (re-)construction algorithm

    Whittaker–Shannon interpolation formula or sinc interpolation is a method to construct a continuous-time bandlimited function from a sequence of real numbers. The

    Whittaker–Shannon interpolation formula

    Whittaker–Shannon_interpolation_formula

  • Trigonometric functions
  • Functions of an angle

    of periodic functions Polar sine – a generalization to vertex angles Sinc function Klein, Felix (1924) [1902]. "Die goniometrischen Funktionen". Elementarmathematik

    Trigonometric functions

    Trigonometric functions

    Trigonometric_functions

  • Contour integration
  • Method of evaluating certain integrals along paths in the complex plane

    {\displaystyle F(s)} . The following integral gives a representation the sinc function: sin ⁡ x x = 1 π ∫ 0 ∞ cos ⁡ ( x t ) d t {\displaystyle {\frac {\sin

    Contour integration

    Contour_integration

  • Window function
  • Function used in signal processing

    product of two sinc functions vs. an Airy function, respectively. Conventions: w 0 ( x ) {\displaystyle w_{0}(x)} is a zero-phase function (symmetrical

    Window function

    Window function

    Window_function

  • Low-pass filter
  • Type of signal filter

    signal by the rectangular function in the frequency domain or, equivalently, convolution with its impulse response, a sinc function, in the time domain. However

    Low-pass filter

    Low-pass_filter

  • Bessel function
  • Family of solutions to related differential equations

    zeroth spherical Bessel function j0(x) is also known as the (unnormalized) sinc function. The first few spherical Bessel functions are: j 0 ( x ) = sin ⁡

    Bessel function

    Bessel function

    Bessel_function

  • Dirac delta function
  • Generalized function whose value is zero everywhere except at zero

    origin. Other approximations to the identity of this kind include the sinc function (used widely in electronics and telecommunications) η ε ( x ) = 1 π

    Dirac delta function

    Dirac delta function

    Dirac_delta_function

  • Removable singularity
  • Undefined point on a holomorphic function which can be made regular

    the resulting function is regular in a neighbourhood of that point. For instance, the (unnormalized) sinc function, as defined by sinc ( z ) = sin ⁡ z

    Removable singularity

    Removable singularity

    Removable_singularity

  • Sigma approximation
  • \right)\right],} in terms of the normalized sinc function: sinc ⁡ x = sin ⁡ π x π x . {\displaystyle \operatorname {sinc} x={\frac {\sin \pi x}{\pi x}}.} a k

    Sigma approximation

    Sigma approximation

    Sigma_approximation

  • Dirichlet integral
  • Integral of sin(x)/x from 0 to infinity

    Gustav Lejeune Dirichlet, one of which is the improper integral of the sinc function over the positive real number line. ∫ 0 ∞ sin ⁡ x x d x = π 2 . {\displaystyle

    Dirichlet integral

    Dirichlet integral

    Dirichlet_integral

  • Overshoot (signal)
  • When a signal or function exceeds its target

    step function by the integral up to a certain frequency, which yields the sine integral. This can be interpreted as convolution with the sinc function; in

    Overshoot (signal)

    Overshoot (signal)

    Overshoot_(signal)

  • Sine and cosine
  • Fundamental trigonometric functions

    generalization to vertex angles Proofs of trigonometric identities Sinc function Sine and cosine transforms Sine integral Sine quadrant Sine wave Sine–Gordon

    Sine and cosine

    Sine and cosine

    Sine_and_cosine

  • Gamma function
  • Extension of the factorial function

    (-z)={\frac {\pi z}{\sin(\pi z)}}={\frac {1}{\operatorname {sinc} (z)}}} using the normalized sinc function; while the multiplication theorem becomes: Π ( z m

    Gamma function

    Gamma function

    Gamma_function

  • Fourier transform
  • Mathematical transform that expresses a function of time as a function of frequency

    )}=\operatorname {sinc} (\xi )} is sometimes used to express that the Fourier transform of a rectangular function is a sinc function, or F ( f ( x + x

    Fourier transform

    Fourier transform

    Fourier_transform

  • Maximum and minimum
  • Largest and smallest value taken by a function at a given point

    Paul. "Minimization and maximization refresher". "The Unnormalized Sinc Function Archived 2017-02-15 at the Wayback Machine", University of Sydney For

    Maximum and minimum

    Maximum and minimum

    Maximum_and_minimum

  • Triangular function
  • Tent function, often used in signal processing

    {a}^{2}\ \mathrm {sinc} ^{2}(a\cdot f)={a}\ \mathrm {sinc} ^{2}(a\cdot f).\end{aligned}}} Källén function, also known as triangle function Tent map Triangular

    Triangular function

    Triangular function

    Triangular_function

  • Arg max
  • Inputs at which function values are highest

    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 Rockafellar

    Arg max

    Arg max

    Arg_max

  • Borwein integral
  • Type of mathematical integrals

    integrals involve products of sinc ⁡ ( a x ) {\displaystyle \operatorname {sinc} (ax)} , where the sinc function is given by sinc ⁡ ( x ) = sin ⁡ ( x ) / x

    Borwein integral

    Borwein_integral

  • Continuous function
  • Mathematical function with no sudden changes

    sufficient is the sinc function, which is defined by ⁠ sinc ⁡ ( 0 ) = 1 {\displaystyle \operatorname {sinc} (0)=1} ⁠ and ⁠ sinc ⁡ ( x ) = sin ⁡ x x {\displaystyle

    Continuous function

    Continuous_function

  • Spatial anti-aliasing
  • Technique for reducing low-resolution image distortion

    filter or interpolation functions, as though the data were a two dimensional function of continuous x and y. The sinc function of the radius has too long

    Spatial anti-aliasing

    Spatial_anti-aliasing

  • List of mathematical functions
  • Bessel–Clifford function Kelvin functions Legendre function: From the theory of spherical harmonics. Scorer's function Sinc function Hermite polynomials

    List of mathematical functions

    List_of_mathematical_functions

  • Lobachevsky integral formula
  • Mathematical identity used to evaluate certain improper integrals

    terms of distributions. One of those is the improper integral of the sinc function over the positive real line, ∫ 0 ∞ sin ⁡ x x d x = ∫ 0 ∞ sin 2 ⁡ x x

    Lobachevsky integral formula

    Lobachevsky_integral_formula

  • MATLAB
  • Numerical computing environment and programming language

    developed by MathWorks. MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and

    MATLAB

    MATLAB

    MATLAB

  • Shannon wavelet
  • wavelet. First, we define the scaling function to be the sinc function. ϕ (Sha) ( t ) := sin ⁡ π t π t = sinc ⁡ ( t ) . {\displaystyle \phi ^{\text{(Sha)}}(t):={\frac

    Shannon wavelet

    Shannon_wavelet

  • Double-slit experiment
  • Physics experiment

    }}\right]~\mathrm {sinc} ^{2}\left[{\frac {\pi b\sin \theta }{\lambda }}\right]\end{aligned}}} where the sinc function is defined as sinc(x) = sin(x)/x for

    Double-slit experiment

    Double-slit experiment

    Double-slit_experiment

  • Prime omega function
  • Number of prime factors of a natural number

    the normalized sinc {\displaystyle \operatorname {sinc} } function sinc ⁡ ( x ) = sin ⁡ ( π x ) π x {\displaystyle \operatorname {sinc} (x)={\frac {\sin(\pi

    Prime omega function

    Prime_omega_function

  • Sombrero function
  • 2-dimensional polar coordinate function

    A sombrero function (sometimes called besinc function or jinc function) is the 2-dimensional polar coordinate analog of the sinc function, and is so-called

    Sombrero function

    Sombrero function

    Sombrero_function

  • Uncertainty principle
  • Foundational principle in quantum physics

    on a real star-square function. Given a Wigner function W ( x , p ) {\displaystyle W(x,p)} with star product ★ and a function f, the following is generally

    Uncertainty principle

    Uncertainty principle

    Uncertainty_principle

  • Pulse wave
  • Periodic rectangular waveform

    x(t)} can be written using the Sinc function, using the definition sinc ⁡ x = sin ⁡ π x π x {\displaystyle \operatorname {sinc} x={\frac {\sin \pi x}{\pi

    Pulse wave

    Pulse wave

    Pulse_wave

  • Trigonometric integral
  • Special function defined by an integral

    {\frac {\sin(t)}{t}}} is the sinc function, and also the zeroth spherical Bessel function. Since sinc is an even entire function (holomorphic over the entire

    Trigonometric integral

    Trigonometric integral

    Trigonometric_integral

  • Fraunhofer diffraction equation
  • Mathematical explanation of far field diffraction

    Wx}{\lambda z}}}\\&=aW\operatorname {sinc} {\frac {\pi Wx}{\lambda z}}\end{aligned}}} where sinc(p) = sin(p)/p. The sinc function is sometimes defined as sin(πp)/πp

    Fraunhofer diffraction equation

    Fraunhofer_diffraction_equation

  • Finite impulse response
  • Type of filter in signal processing

    the corresponding sinc function is zero at every other sample point (except the center one). The product with the window function does not alter the

    Finite impulse response

    Finite_impulse_response

  • Dirichlet kernel
  • Concept in mathematical analysis

    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 ⁡

    Dirichlet kernel

    Dirichlet kernel

    Dirichlet_kernel

  • Sinc numerical methods
  • translates of sinc function and Cardinal function C(f,h) which is an expansion of f defined by C ( f , h ) ( x ) = ∑ k = − ∞ ∞ f ( k h ) sinc ( x h − k )

    Sinc numerical methods

    Sinc_numerical_methods

  • First-order hold
  • Model in digital signal processing

    {\displaystyle \mathrm {sinc} (x)={\frac {\sin(\pi x)}{\pi x}}\ } is the normalized sinc function. The Laplace transform transfer function of FOH is found by

    First-order hold

    First-order_hold

  • Lebesgue integral
  • Method of mathematical integration

    the sinc function: sinc ⁡ ( x ) = sin ⁡ ( x ) x {\displaystyle \operatorname {sinc} (x)={\frac {\sin(x)}{x}}} over the entire real line. This function is

    Lebesgue integral

    Lebesgue integral

    Lebesgue_integral

  • Aitoff projection
  • Pseudoazimuthal compromise map projection

    \left(\cos \varphi \cos {\frac {\lambda }{2}}\right)\,} and sinc α is the unnormalized sinc function with the discontinuity removed. In all of these formulas

    Aitoff projection

    Aitoff projection

    Aitoff_projection

  • Riemann zeta function
  • Analytic function in mathematics

    } are the polygamma function and Euler's constant, respectively, as well as ∑ n = 1 ∞ ζ ( 2 n ) − 1 n t 2 n = log ⁡ ( 1 − t 2 sinc ⁡ ( π t ) ) {\displaystyle

    Riemann zeta function

    Riemann zeta function

    Riemann_zeta_function

  • Hann function
  • Mathematical function used in signal processing

    \operatorname {sinc} (Lf)\triangleq {\frac {\sin(\pi Lf)}{\pi Lf}}.} Transforming each term: W 0 ( f ) = 1 2 sinc ⁡ ( L f ) + 1 4 sinc ⁡ ( L ( f − 1 /

    Hann function

    Hann function

    Hann_function

  • Wavelength
  • Distance over which a wave's shape repeats

    position x via a squared sinc function: S ( u ) = s i n c 2 ( u ) = ( sin ⁡ π u π u ) 2   ; {\displaystyle S(u)=\mathrm {sinc} ^{2}(u)=\left({\frac {\sin

    Wavelength

    Wavelength

    Wavelength

  • Ambiguity function
  • Function of propagation delay and Doppler frequency

    filter output is distorted into a sinc function. The greater the Doppler shift, the smaller the peak of the resulting sinc, and the more difficult it is to

    Ambiguity function

    Ambiguity_function

  • Dirac comb
  • Periodic distribution ("function") of "point-mass" Dirac delta sampling

    "multiplication with the rect function" is equivalent to "convolution with the sinc function". Hence, it restores the original function from its samples. This

    Dirac comb

    Dirac comb

    Dirac_comb

  • Hilbert transform
  • Integral transform and linear operator

    a specific singular integral that takes a function, u(t) of a real variable and produces another function of a real variable H(u)(t). The Hilbert transform

    Hilbert transform

    Hilbert_transform

  • Aliasing
  • Signal processing effect

    Aliasing. Brillouin zone Glossary of video terms Jaggies Kell factor Sinc filter Sinc function Spectral density Spectral leakage Stroboscopic effect Wagon-wheel

    Aliasing

    Aliasing

    Aliasing

  • Differential Galois theory
  • Study of Galois symmetry groups of differential fields

    elementary functions sinc function sin ⁡ x x {\displaystyle {\tfrac {\sin x}{x}}} and x x {\displaystyle x^{x}} are also non-elementary functions. It's important

    Differential Galois theory

    Differential_Galois_theory

  • Crenel function
  • k\Delta )}{\pi k}}=\Delta \cdot \mathrm {sinc} (\pi k\Delta )\cdot \mathrm {e} ^{2\pi i\,kx}.} with the Sinc function. Petříček, V.; Van Der Lee, A.; Evain

    Crenel function

    Crenel_function

  • Lists of integrals
  • Riemann zeta function) ∫ 0 ∞ sin ⁡ x x d x = π 2 {\displaystyle \int _{0}^{\infty }{\frac {\sin {x}}{x}}\,dx={\frac {\pi }{2}}} (see sinc function and the

    Lists of integrals

    Lists_of_integrals

  • Undersampling
  • Signal processing sample technique

    reconstructive interpolation function, or lowpass filter impulse response, is   sinc ⁡ ( t / T ) {\displaystyle \operatorname {sinc} \left(t/T\right)} with

    Undersampling

    Undersampling

    Undersampling

  • Basel problem
  • Sum of inverse squares of natural numbers

    )^{2n}(-1)^{n+1}B_{2n}}{2\cdot (2n)!}}.} The normalized sinc function sinc ( x ) = sin ⁡ ( π x ) π x {\displaystyle {\text{sinc}}(x)={\frac {\sin(\pi x)}{\pi x}}} has

    Basel problem

    Basel problem

    Basel_problem

  • Fermi's golden rule
  • Transition rate formula

    an unstable subatomic particle into other particles Sinc function – Special mathematical function defined as sin(x)/x Time-dependent perturbation theory –

    Fermi's golden rule

    Fermi's_golden_rule

  • Periodic summation
  • Sum of a function's values every _P_ offsets

    implies that the periodic summation of any band-limited function, such as the sinc function, is a sum of a finite number of sine waves, or even just

    Periodic summation

    Periodic summation

    Periodic_summation

  • Zero-order hold
  • Model of signal reconstruction in digital-to-analog (DAC) converters

    fT}}=e^{-i\pi fT}\mathrm {sinc} (fT)} where s i n c ( x ) {\displaystyle \mathrm {sinc} (x)} is the (normalized) sinc function sin ⁡ ( π x ) π x {\displaystyle

    Zero-order hold

    Zero-order_hold

  • Friedel oscillations
  • Screening phenomenon in metals

    the perturbation followed by an ongoing sinusoidal decay resembling sinc function. The phenomenon is named after Jacques Friedel, who predicted the effect

    Friedel oscillations

    Friedel oscillations

    Friedel_oscillations

  • Diffraction
  • Interference phenomenon of waves

    of energy, and sinc ⁡ x = sin ⁡ x x {\displaystyle \operatorname {sinc} x={\frac {\sin x}{x}}} , which is the unnormalized sinc function. This analysis

    Diffraction

    Diffraction

    Diffraction

  • Boxcar function
  • Mathematical function resembling a boxcar

    boxcar function is selected as the impulse response of a filter, the result is a simple moving average filter, whose frequency response is a sinc-in-frequency

    Boxcar function

    Boxcar function

    Boxcar_function

  • Bicubic interpolation
  • Extension of cubic spline interpolation

    the derivative of the sinc function at x = 1 {\displaystyle x=1} , but this has no significance other than for comparison with sinc interpolation. When

    Bicubic interpolation

    Bicubic interpolation

    Bicubic_interpolation

  • Wavelet
  • Function for integral Fourier-like transform

    (t)=2\,\operatorname {sinc} (2t)-\,\operatorname {sinc} (t)={\frac {\sin(2\pi t)-\sin(\pi t)}{\pi t}}} with the (normalized) sinc function. That, Meyer's, and

    Wavelet

    Wavelet

    Wavelet

  • Linear time-invariant system
  • Mathematical model which is both linear and time-invariant

    low-pass filter with impulse response equal to a sinc function is not BIBO stable, because the sinc function does not have a finite L1 norm. Thus, for some

    Linear time-invariant system

    Linear time-invariant system

    Linear_time-invariant_system

  • Wave equation
  • Differential equation important in physics

    the Fourier transform is the sinc function G 1 ( t , x ) = 1 2 π ∫ R sin ⁡ ( | ω | t ) | ω | e i ω x d ω = 1 2 π ∫ sinc ⁡ ( ω ) e i ω x t d ω = sgn ⁡

    Wave equation

    Wave equation

    Wave_equation

  • Raised-cosine filter
  • Pulse-shaping filter in digital modulation

    auto-correlation function of raised cosine function is as follows: R ( τ ) = T [ sinc ⁡ ( τ T ) cos ⁡ ( β π τ T ) 1 − ( 2 β τ T ) 2 − β 4 sinc ⁡ ( β τ T )

    Raised-cosine filter

    Raised-cosine_filter

  • Discrete-time Fourier transform
  • Fourier analysis technique applied to sequences

    (\omega )} is the Dirac delta function sinc ⁡ ( t ) {\displaystyle \operatorname {sinc} (t)} is the normalized sinc function rect ⁡ [ n L ] ≜ { 1 | n | ≤

    Discrete-time Fourier transform

    Discrete-time_Fourier_transform

  • Particle in a box
  • Mathematical model in quantum mechanics

    }{2}}}e^{-i\omega _{n}t},\end{aligned}}} where sinc is the cardinal sine sinc function, sinc(x) = sin(x)/x. For the centered box (xc = 0), the solution is real

    Particle in a box

    Particle in a box

    Particle_in_a_box

  • Discrete Laplace operator
  • Analog of the continuous Laplace operator

    {r}}_{k})} with μ {\displaystyle \mu } being an appropriately dilated sinc function defined in n {\displaystyle n} -dimensions i.e. r ¯ = ( x 1 , x 2 .

    Discrete Laplace operator

    Discrete_Laplace_operator

  • Diffraction from slits
  • Wave phenomenon

    where the (unnormalized) sinc function is defined by sinc ⁡ ( x )   = d e f   sin ⁡ ( x ) x {\displaystyle \operatorname {sinc} (x)\ {\stackrel {\mathrm

    Diffraction from slits

    Diffraction from slits

    Diffraction_from_slits

  • Pulse (signal processing)
  • Quick, temporary change in amplitude of electrical signals

    transmission. An example of a pulse which meets this condition is the sinc function. The sinc pulse is of some significance in signal-processing theory but cannot

    Pulse (signal processing)

    Pulse (signal processing)

    Pulse_(signal_processing)

  • Basis set (chemistry)
  • Set of functions used to represent the electronic wave function

    interpolation functions. Various methods have been proposed for constructing the solution in real space, including finite elements, basis splines, Lagrange sinc-functions

    Basis set (chemistry)

    Basis_set_(chemistry)

  • Reconstruction filter
  • Filter used to construct a smooth analog signal from a digital input

    the sinc function, either by windowing or by giving a spline approximation, either by cubics or higher order splines. In the case of windowed sinc filters

    Reconstruction filter

    Reconstruction_filter

  • Fractional Fourier transform
  • Mathematical operation

    the signal in the time domain is rectangular (as below), it becomes a sinc function in the frequency domain. But if one applies the fractional Fourier transform

    Fractional Fourier transform

    Fractional_Fourier_transform

  • On-Line Encyclopedia of Integer Sequences
  • Online database of integer sequences

    arithmetic functions, Math. Gaz. 89 (516) (2005) 403-408. Paul W. Oxby, A Function Based on Chebyshev Polynomials as an Alternative to the Sinc Function in FIR

    On-Line Encyclopedia of Integer Sequences

    On-Line_Encyclopedia_of_Integer_Sequences

  • Green's function
  • Method of solution to differential equations

    In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with

    Green's function

    Green's function

    Green's_function

  • Path integral formulation
  • Formulation of quantum mechanics

    (t_{f}-t_{i})}}}~.} Using the infinite-product representation of the sinc function, ∏ j = 1 ∞ ( 1 − x 2 j 2 ) = sin ⁡ π x π x , {\displaystyle \prod _{j=1}^{\infty

    Path integral formulation

    Path integral formulation

    Path_integral_formulation

  • Pulse-width modulation
  • Representation of a signal as a rectangular wave with varying duty cycle

    are restricted by a sin ⁡ x / x {\displaystyle \sin x/x} envelope (sinc function) and extend to infinity. The infinite bandwidth is caused by the nonlinear

    Pulse-width modulation

    Pulse-width modulation

    Pulse-width_modulation

  • Ambiguity
  • Type of uncertainty of meaning where several interpretations are possible

    sometimes, the same name of the function is used, causing confusion. Examples of such under-established functions: Sinc function Elliptic integral of the third

    Ambiguity

    Ambiguity

    Ambiguity

  • Sinc (disambiguation)
  • Topics referred to by the same term

    Look up sinc in Wiktionary, the free dictionary. Sinc is a mathematical function. Sinc may also refer to: Sinc McEvenue, Canadian football coach Sisters

    Sinc (disambiguation)

    Sinc_(disambiguation)

  • Delta-sigma modulation
  • Method for converting signals between digital and analog

    Figures 7–9 of Lyons article). Windowed sinc-in-time (brick-wall in frequency) filters: Although the sinc function's infinite support prevents it from being

    Delta-sigma modulation

    Delta-sigma modulation

    Delta-sigma_modulation

  • Smear (optics)
  • equation for the optical modulation transfer function associated with smear is the standard sinc function associated with an extended sample M T F s m

    Smear (optics)

    Smear_(optics)

  • Savitzky–Golay filter
  • Algorithm to smooth data points

    closely related to smoothing splines), and convolution with a windowed sinc function. sgolayfilt from Signal Processing Toolbox. Available since before version

    Savitzky–Golay filter

    Savitzky–Golay filter

    Savitzky–Golay_filter

  • Spatial frequency
  • Characteristic of any structure that is periodic across a position in space

    phase-variable spin-echo signals. Each of the spin-echo signal is a sinc function of time, which can be described by Spin-Echo = M 0 sin ⁡ ω r t ω r t

    Spatial frequency

    Spatial frequency

    Spatial_frequency

  • Cornelius Lanczos
  • Hungarian-American mathematician (1893–1974)

    resampling is based on a windowed sinc function as a practical upsampling filter approximating the ideal sinc function, now widely used in video up-sampling

    Cornelius Lanczos

    Cornelius_Lanczos

  • Cone tracing
  • since a box filter has poor spectral properties. Conversely, the ideal sinc function is not practical, having infinite support with possibly negative values

    Cone tracing

    Cone_tracing

  • Fbsp wavelet
  • ^{m}\left({\frac {t}{\mathrm {fb} ^{m}}}\right)e^{j2\pi f_{c}t}} where sinc function that appears in Shannon sampling theorem. m > 1 is the order of the

    Fbsp wavelet

    Fbsp_wavelet

  • Trigonometric functions of matrices
  • Important functions in solving differential equations

    cardinal sine function, sinc ⁡ ( θ σ 1 ) = sinc ⁡ ( θ )   I . {\displaystyle \operatorname {sinc} (\theta \sigma _{1})=\operatorname {sinc} (\theta )~I

    Trigonometric functions of matrices

    Trigonometric_functions_of_matrices

  • List of programmers
  • INTERCAL, Colossal Cave Adventure Philip Woodward – ambiguity function, sinc function, comb operator, rep operator, ALGOL 68-R Steve Wozniak – Breakout

    List of programmers

    List_of_programmers

  • Fourier optics
  • Study of classical optics using Fourier transforms

    the Airy function (the FT of a circular aperture function is J1(x)/x and the FT of a rectangular aperture function is a product of sinc functions, sinx/x)

    Fourier optics

    Fourier_optics

  • Linear filter
  • Filter that has a linear response

    boxcar function, then it would implement a low-pass filter with a low frequency gain of N+1 and a frequency response given by the sinc function. Superior

    Linear filter

    Linear_filter

  • Memory management controller
  • Video game console technology

    channels of PCM audio with an echo buffer, wavetable support, and smooth sinc function based interpolation) and direct access to 768M of ROM (indirectly 2

    Memory management controller

    Memory management controller

    Memory_management_controller

  • List of mathematical abbreviations
  • function. Shi – hyperbolic sine integral function. Si – sine integral function. sigmoid – sigmoid function. sin – sine function. sincsinc function

    List of mathematical abbreviations

    List_of_mathematical_abbreviations

  • Butler matrix
  • Type of beamforming network

    with distance as the independent variable rather than time. Assuming a sinc function beam shape, the beams must be spaced so that their crossovers occur

    Butler matrix

    Butler_matrix

  • List of numerical analysis topics
  • data structures for representing level sets Sinc numerical methods — methods based on the sinc function, sinc(x) = sin(x) / x ABS methods Error analysis

    List of numerical analysis topics

    List_of_numerical_analysis_topics

  • Trigonometric interpolation
  • Interpolation with trigonometric polynomials

    {\mathrm {sinc} \,{\tfrac {1}{2}}N(x-x_{k})}{\mathrm {sinc} \,{\tfrac {1}{2}}(x-x_{k})}}.\end{aligned}}} Here, the sinc-function prevents any singularities

    Trigonometric interpolation

    Trigonometric_interpolation

  • Top-hat filter
  • Signal filtering technique

    y-function values. Despite its ease of implementation, its practical use is limited as the real-space representation of a top-hat filter is the sinc function

    Top-hat filter

    Top-hat filter

    Top-hat_filter

  • Structure factor
  • Mathematical description in crystallography

    sinc function]. Thus the intensity, which is a delta function of position for the perfect crystal, becomes a sinc 2 {\textstyle \operatorname {sinc}

    Structure factor

    Structure_factor

  • Sidelobes
  • Lobes of far field radiation pattern of antenna

    radiation pattern has a canonical form of The function inside the logarithm is known as the Sinc function. Simple substitutions of various values of X

    Sidelobes

    Sidelobes

    Sidelobes

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SINC FUNCTION

  • Linc
  • Boy/Male

    Australian, British, English, Latin

    Linc

    Form of Lincoln; Lithe; From the Town by the Pool

    Linc

  • Sina
  • Boy/Male

    Arabic, Australian, German, Iranian, Muslim, Parsi, Turkish

    Sina

    Sinai; Explorer of Knowledge

    Sina

  • Sine
  • Girl/Female

    Gaelic Irish Scottish

    Sine

    Sine

  • Chinya
  • Boy/Male

    Hindu, Indian

    Chinya

    Sing

    Chinya

  • Sina
  • Girl/Female

    Latin American

    Sina

    Blessed.

    Sina

  • Sin
  • Girl/Female

    Australian, Biblical, Kurdish

    Sin

    Bush

    Sin

  • Sina |
  • Boy/Male

    Muslim

    Sina |

    Sina |

  • sini
  • Girl/Female

    Hindu

    sini

    A woman having a white complexion

    sini

  • SINÉAD
  • Female

    Irish

    SINÉAD

    (pron. Shinade) Irish Gaelic form of French Jeanette, SINÉAD means "God is gracious." 

    SINÉAD

  • Sinu
  • Girl/Female

    Hindu, Indian

    Sinu

    Love

    Sinu

  • Siny
  • Girl/Female

    Russian

    Siny

    Stranger.

    Siny

  • Sin
  • Biblical

    Sin

    a bush, enmity

    Sin

  • SINI
  • Female

    Finnish

    SINI

    Finnish name SINI means "blue."

    SINI

  • Sinu
  • Girl/Female

    Hindu

    Sinu

    Positive energy, Horseless

    Sinu

  • Rinc
  • Boy/Male

    Anglo Saxon

    Rinc

    warrior.

    Rinc

  • Sini
  • Girl/Female

    Australian, Finnish, German, Indian, Swedish, Telugu

    Sini

    Blue

    Sini

  • LÖRINC
  • Male

    Hungarian

    LÖRINC

    Hungarian form of Roman Latin Laurentius, LÖRINC means "of Laurentum."

    LÖRINC

  • Sina
  • Girl/Female

    Australian, Danish, French, German, Hebrew, Latin, Swedish

    Sina

    Precious Thing; Treasure; Blessed; God is Gracious

    Sina

  • ANA-SIN-EMID
  • Male

    Babylonian

    ANA-SIN-EMID

    , I trust in Sin!

    ANA-SIN-EMID

  • Ibn Sina |
  • Boy/Male

    Muslim

    Ibn Sina |

    Ibn Sina |

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Online names & meanings

  • Muqaddasa
  • Girl/Female

    Arabic

    Muqaddasa

    Sacred; Holy

  • Mirunalini
  • Girl/Female

    Hindu

    Mirunalini

    Goddess Lakshmi

  • Sharadyuthi
  • Girl/Female

    Indian, Telugu

    Sharadyuthi

    Moon Light in Sarath Ruthuvu

  • Aasthaa
  • Girl/Female

    Hindu, Indian

    Aasthaa

    Faith; Desire to Achieve

  • Kradhana
  • Boy/Male

    Hindu

    Kradhana

    One of the kauravas

  • Aashim | ஆஷிம
  • Boy/Male

    Tamil

    Aashim | ஆஷிம

    Limitless

  • Jazlynn
  • Girl/Female

    American, British, English

    Jazlynn

    From Jasmine and Lynn; Modern Variant of Jasmine; Combination of Jocelyn and the Musical Term Jazz

  • Chana
  • Girl/Female

    American, Arabic, Australian, Chinese, French, Hebrew, Muslim

    Chana

    Favored; Grave; Graceful

  • ÉLIE
  • Male

    French

    ÉLIE

    Old French form of Hebrew Eliyah, ÉLIE means "the Lord is my God."

  • Somdutt
  • Boy/Male

    Indian, Sindhi, Traditional

    Somdutt

    The Moon; Similar to Som

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Other words and meanings similar to

SINC FUNCTION

AI search in online dictionary sources & meanings containing SINC FUNCTION

SINC FUNCTION

  • Zinc
  • v. t.

    To coat with zinc; to galvanize.

  • Malagasy
  • n. sing. & pl.

    A native or natives of Madagascar; also (sing.), the language.

  • Sin
  • n.

    Transgression of the law of God; disobedience of the divine command; any violation of God's will, either in purpose or conduct; moral deficiency in the character; iniquity; as, sins of omission and sins of commission.

  • Sink
  • v. i.

    To fall by, or as by, the force of gravity; to descend lower and lower; to decline gradually; to subside; as, a stone sinks in water; waves rise and sink; the sun sinks in the west.

  • Since
  • adv.

    From a definite past time until now; as, he went a month ago, and I have not seen him since.

  • Sink
  • v. t.

    To reduce or extinguish by payment; as, to sink the national debt.

  • Sin
  • n.

    An embodiment of sin; a very wicked person.

  • Sink
  • n.

    A hole or low place in land or rock, where waters sink and are lost; -- called also sink hole.

  • Sink
  • v. t.

    To make (a depression) by digging, delving, or cutting, etc.; as, to sink a pit or a well; to sink a die.

  • Zinc
  • n.

    An abundant element of the magnesium-cadmium group, extracted principally from the minerals zinc blende, smithsonite, calamine, and franklinite, as an easily fusible bluish white metal, which is malleable, especially when heated. It is not easily oxidized in moist air, and hence is used for sheeting, coating galvanized iron, etc. It is used in making brass, britannia, and other alloys, and is also largely consumed in electric batteries. Symbol Zn. Atomic weight 64.9.

  • Sens
  • adv.

    Since.

  • Sin
  • n.

    A sin offering; a sacrifice for sin.

  • Sink
  • v. t.

    To cause to sink; to put under water; to immerse or submerge in a fluid; as, to sink a ship.

  • Sine
  • n.

    The perpendicular itself. See Sine of angle, below.

  • Sink
  • v. t.

    Figuratively: To cause to decline; to depress; to degrade; hence, to ruin irretrievably; to destroy, as by drowping; as, to sink one's reputation.

  • Sing
  • v. t.

    To influence by singing; to lull by singing; as, to sing a child to sleep.

  • Sin
  • n.

    An offense, in general; a violation of propriety; a misdemeanor; as, a sin against good manners.

  • Sinch
  • v. t.

    To gird with a sinch; to tighten the sinch or girth of (a saddle); as, to sinch up a sadle.

  • Sin
  • adv., prep., & conj.

    Old form of Since.