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Computer programming function
In functional programming, filter is a higher-order function that processes a data structure (usually a list) in some order to produce a new data structure
Filter (higher-order function)
Filter_(higher-order_function)
Function that takes one or more functions as an input or that outputs a function
computer science, a higher-order function (HOF) is a function that does at least one of the following: takes one or more functions as arguments (i.e. a
Higher-order_function
Computer programming function
In many programming languages, map is a higher-order function that applies a given function to each element of a collection, e.g. a list or set, returning
Map_(higher-order_function)
Family of higher-order functions
In functional programming, a fold is a higher-order function that analyzes a recursive data structure and, through use of a given combining operation
Fold_(higher-order_function)
Topics referred to by the same term
Filter, filter, filtering, or filters in Wiktionary, the free dictionary. Filter, filtering, filters or filtration may also refer to: Filter (higher-order
Filter
Type of signal filter
low-pass filter is a filter that passes signals with a frequency lower than a selected cutoff frequency and attenuates signals with frequencies higher than
Low-pass_filter
Type of signal processing filter
second-order filter decreases at −12 dB per octave, a third-order at −18 dB and so on. Butterworth filters have a monotonically changing magnitude function with
Butterworth_filter
Type of analog linear filter in electronics
functions to filter design in 1949. The Bessel filter is very similar to the Gaussian filter, and tends towards the same shape as filter order increases
Bessel_filter
Filter in electronics and signal processing
mainly in digital signal processing, a Gaussian filter is a filter whose impulse response is a Gaussian function (or an approximation to it, since a true Gaussian
Gaussian_filter
Type of electronic circuit or optical filter
A high-pass filter (HPF) is an electronic filter that passes signals with a frequency higher than a certain cutoff frequency and attenuates signals with
High-pass_filter
Type of analog or digital filter
\omega } of the n {\displaystyle n} th-order low-pass filter is equal to the absolute value of the transfer function H n ( s ) {\displaystyle H_{n}(s)} evaluated
Chebyshev_filter
Data structure for approximate set membership
In computing, a Bloom filter is a space-efficient probabilistic data structure, conceived by Burton Howard Bloom in 1970, that is used to test whether
Bloom_filter
Function definition that is not bound to an identifier
passed to higher-order functions or used for constructing the result of a higher-order function that needs to return a function. If the function is only
Anonymous_function
Filter for nonlinear state estimation
discrete-time extended Kalman filter. The above recursion is a first-order extended Kalman filter (EKF). Higher order EKFs may be obtained by retaining
Extended_Kalman_filter
Signal processing filter
ripple values approach zero, the filter becomes a Butterworth filter. The gain of a lowpass elliptic filter as a function of angular frequency ω is given
Elliptic_filter
Second order recursive digital linear filter
digital biquad filter is a second order recursive linear filter, containing two poles and two zeros, which implements the analog biquad filter topology in
Digital_biquad_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
Form of error in digital signals; spurious signals near sharp transitions
filter; this is the frequency domain description. In terms of the time domain, the cause of this type of ringing is the ripples in the sinc function,
Ringing_artifacts
Device for suppressing part of a discretely-sampled signal
+a_{M}z^{-M}}}} where the order of the filter is the greater of N or M. See Z-transform's LCCD equation for further discussion of this transfer function. This is the
Digital_filter
Special mathematical function defined as sin(x)/x
uniformly spaced samples of that signal. The sinc filter is used in signal processing. The function itself was first mathematically derived in this form
Sinc_function
Type of variable active electronic filter
higher-order state variable filters it is instead common in active filter design to assemble higher-order filters by cascading first and second order
State_variable_filter
Device for suppressing part of a signal
"L" filter Gaussian filter – no ripple in response to step function Raised-cosine filter Each family of filters can be specified to a particular order. The
Filter_(signal_processing)
Shell command for finding files
find command run periodically by a cron job. Filter (higher-order function) – Computer programming function find (Windows) – Shell command that finds text
Find_(Unix)
Mathematical transformation reducing the damage caused by aliasing
provide a significant anti-aliasing function, while in color filter array (e.g. Bayer filter) cameras, an additional filter is generally needed to reduce aliasing
Anti-aliasing_filter
Electronic filter circuits defined by component connection
connected. Filter design characterises filter circuits primarily by their transfer function rather than their topology. Transfer functions may be linear
Electronic_filter_topology
Algorithm to smooth data points
horizontal line as opposed to a higher order polynomial. An unweighted moving average filter is the simplest convolution filter. The moving average is often
Savitzky–Golay_filter
Changing the balance of frequency components in an audio signal
controls are usually simple first-order filter functions that alter the relative gains between frequencies much higher and much lower than the cutoff frequencies
Audio_equalization
Signal processing design process
slopes, higher-order filters are required. In relation to the desired frequency function, there may also be an accompanying weighting function, which describes
Filter_design
Microsoft .NET Framework component
match the rule are filtered away. The predicate is supplied to the operator as a delegate. This implements the Filter higher-order function. For a user-provided
Language_Integrated_Query
Cognitive processes necessary for control of behavior
and cognitive flexibility. Higher-order executive functions require the simultaneous use of multiple basic executive functions and include planning and
Executive_functions
Filter that has a linear response
function using the chosen technology. The complexity of a filter may be specified according to the order of the filter. Among the time-domain filters
Linear_filter
Electronic filter topology
The Sallen–Key topology is an electronic filter topology used to implement second-order active filters that is particularly valued for its simplicity
Sallen–Key_topology
Electronic filter circuitry used in loudspeakers
does. Remark: Filter sections mentioned here is not to be confused with the individual 2-pole filter sections that a higher-order filter consists of. Crossovers
Audio_crossover
Electronic device
Electronic filters are a type of signal processing filter in the form of electrical circuits. This article covers those filters consisting of lumped electronic
Electronic_filter
Model of signal reconstruction in digital-to-analog (DAC) converters
time-invariant filter with impulse response equal to a rect function, and with input being a sequence of dirac impulses scaled to the sample values. The filter can
Zero-order_hold
Filter used to construct a smooth analog signal from a digital input
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, the
Reconstruction_filter
Non-linear digital filtering technique to remove noise
(or higher-dimensional) data, the window must include all entries within a given radius or ellipsoidal or rectangular region (i.e., the median filter is
Median_filter
Device to perform harmonic elimination
of the filter. The active power filters are used to filter out both higher and lower order harmonics in the power system. An Active Power Filter is a power
Active_power_filter
Fluid filtration medium
high filter rates causing faster build up. Pilot tests demonstrate that the higher the filter rate the lower the filter area whilst increasing filter rate
Depth_filter
Sufficiency theorem for reconstructing signals from samples
sinc-function impulse response of a band-limiting filter, via its integral, the step-response sine integral; this bandlimiting and reconstruction filter that
Nyquist–Shannon sampling theorem
Nyquist–Shannon_sampling_theorem
Type of Monte Carlo algorithms for signal processing and statistical inference
the probability density function. Weight disparity leading to weight collapse is a common issue encountered in these filtering algorithms. However, it
Particle_filter
Image edge detection algorithm
even higher accuracy and optimized filter families for extended optical flow estimation have been presented in subsequent work by Scharr. Second order derivative
Sobel_operator
When a signal or function exceeds its target
processing terms, this is a low-pass filter. In signal processing, overshoot is when the output of a filter has a higher maximum value than the input, specifically
Overshoot_(signal)
Type of statistical measure over subsets of a dataset
low-pass finite impulse response filter. Because the boxcar function outlines its filter coefficients, it is called a boxcar filter. It is sometimes followed
Moving_average
Digital signal sample rate converter
finite impulse response (FIR) filter that chains N number of integrator and comb filter pairs (where N is the filter's order) to form a decimator or interpolator
Cascaded integrator–comb filter
Cascaded_integrator–comb_filter
Type of image blur produced by a Gaussian function
Gaussian blur is thus a low-pass filter. The Gaussian blur is a type of image-blurring filter that uses a Gaussian function (which also expresses the normal
Gaussian_blur
Feature of filter frequency response
steepness of a transfer function with frequency, particularly in electrical network analysis, and most especially in connection with filter circuits in the transition
Roll-off
Method for converting signals between digital and analog
a lower-resolution, but higher sample-frequency signal that may then be mapped to voltages and smoothed with an analog filter for demodulation. In both
Delta-sigma_modulation
Efficiency standard of air filters
arresting) is an efficiency standard of air filters. A HEPA filter is an air filter meeting such a standard. A HEPA filter must satisfy certain levels of efficiency
HEPA
Resonator damping parameter
approximate second-order closed-loop system is made more oscillatory (i.e., has a higher quality factor). A unity-gain Sallen–Key lowpass filter topology with
Q_factor
Filter used in signal processing on continuous-time signals
have the same transfer function of the filters described in this article. Analogue filters are most often used in wave filtering applications, that is
Analogue_filter
Filter that rejects signals inside a certain range
In signal processing, a band-stop filter or band-rejection filter is a filter that passes most frequencies unaltered, but attenuates those in a specific
Band-stop_filter
Tool for digital signal processing
perfect-reconstruction (PR) filter banks may be used. Let H(z) be the transfer function of a filter. The size of the filter is defined as the order of corresponding
Filter_bank
Electronic filter that is constructed with waveguide technology
A waveguide filter is an electronic filter constructed with waveguide technology. Waveguides are hollow metal conduits inside which an electromagnetic
Waveguide_filter
Signal processing operation
transfer function H a ( s ) {\displaystyle H_{a}(s)} of a linear, time-invariant (LTI) filter in the continuous-time domain (often named an analog filter) to
Bilinear_transform
Electronic filters designed by the network synthesis method
active filters and digital filters. The essence of the method is to obtain the component values of the filter from a given rational function representing
Network_synthesis_filters
Predictive filter
An alpha beta filter (also called alpha-beta filter, f-g filter or g-h filter) is a simplified form of observer for estimation, data smoothing and control
Alpha_beta_filter
Function used in signal processing
function, to a finite impulse response (FIR) filter design. That is called the window method. Window functions are sometimes used in the field of statistical
Window_function
Frequency response boundary
first-order network, the roll-off is −20 dB per decade (approximately −6 dB per octave.) The transfer function for the simplest low-pass filter, H ( s
Cutoff_frequency
Color method in computer graphics
reconstruction filter where sparse data is interpolated to fill gaps (magnification), or a type of anti-aliasing (AA) where texture samples exist at a higher frequency
Texture_filtering
Programming mechanism
stream or other codata) are known as filters, and are instead connected in a pipeline, which is analogous to function composition and can execute concurrently
Function composition (computer science)
Function_composition_(computer_science)
Measurement of a signal at discrete time intervals
reconstruction filter. Functions of space, time, or any other dimension can be sampled, and similarly in two or more dimensions. For functions that vary with
Sampling_(signal_processing)
Technique in digital signal processing
exponential function is periodic with a period of 2π in ω 0 {\displaystyle \omega _{0}} . The second-stage filter can be observed to be a FIR filter, since
Goertzel_algorithm
Edge-preserving smoothing image filter
A guided filter is an edge-preserving smoothing image filter. As with a bilateral filter, it can filter out noise or texture while retaining sharp edges
Guided_filter
Branch of mathematical logic
corresponding results in computable analysis. In higher-order reverse mathematics, the focus is on subsystems of higher-order arithmetic, and the associated richer
Reverse_mathematics
Design pattern in functional programming to build generic types
additional natural transformations. So to begin, a structure requires a higher-order function (or "functional") named map to qualify as a functor: map : (a →
Monad (functional programming)
Monad_(functional_programming)
holds in a pipelined system. Consider the transfer function of a 1st-order IIR filter formulated as H ( z ) = z − 1 1 − a z − 1 {\displaystyle H(z)={\frac
Parallel processing (DSP implementation)
Parallel_processing_(DSP_implementation)
Type of filter in signal processing
the transfer function. This characteristic is achieved at the expense of a much higher component count compared to other types of filter sections. The
Zobel_network
Technique for reducing low-resolution image distortion
symmetrical filter or interpolation functions, as though the data were a two dimensional function of continuous x and y. The sinc function of the radius
Spatial_anti-aliasing
Programming paradigm based on applying and composing functions
with higher-order functions: import java.util.Arrays; int[] numList = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; int result = Arrays.stream(numList) .filter(n ->
Functional_programming
Image edge detection algorithm
can be broken down to five different steps: Apply Gaussian filter to smooth the image in order to remove the noise Find the intensity gradients of the image
Canny_edge_detector
Signal-processing operation
time record. An apodizing filter can be used in digital audio processing instead of the more common brick-wall filters, in order to reduce the pre- and post-ringing
Apodization
Family of solutions to related differential equations
seismology. Bessel functions also appear in other fields, such as signal processing (e.g., see FM audio synthesis, Kaiser window, or Bessel filter). Because this
Bessel_function
Electrical power device
power filters are used to filter out both higher and lower order harmonics in the power system. The main difference between active power filters and passive
Power_conditioner
A two-dimensional (2D) adaptive filter is very much like a one-dimensional adaptive filter in that it is a linear system whose parameters are adaptively
2D_adaptive_filters
Signal with properties that vary cyclically with time
cyclic spectral density function is called the spectral correlation density function is that it equals the limit, as filter bandwidth approaches zero
Cyclostationary_process
Camera accessory consisting of an optical filter
cinematography, a filter is a camera accessory consisting of an optical filter that can be inserted into the optical path. The filter can be of a square
Photographic_filter
passed to higher-order functions or used for constructing the result of a higher-order function that needs to return a function. If the function is only
Examples of anonymous functions
Examples_of_anonymous_functions
One-to-one correspondence
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between two sets such that each element of the second set (the
Bijection
Standard system of axiomatic set theory
an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox
Zermelo–Fraenkel_set_theory
Editing software for Microsoft Windows
Helicon Filter, also referred to as Helicon, Filter, or as HF, was a proprietary commercial and shareware photo editing software program for Microsoft
Helicon_Filter
Delays experienced through a linear time-invariant system
amplifier, loudspeaker, communications system, ethernet cable, digital filter, or analog filter). These delays are sometimes frequency dependent, which means that
Group_delay_and_phase_delay
Multiparadigm programming language
{Square N} % A general function N*N end fun {Map F Xs} % F is a function here - higher order programming case Xs of nil then nil [] X|Xr then {F X}|{Map F
Oz_(programming_language)
Concept in wavelet theory
}n^{k}\varphi (t-n)} is a polynomial function of degree k {\displaystyle k} . When the Fourier transform of a filter satisfies the following condition:
Vanishing_moment
Wave shaped like the sine function
1st order high-pass filter's stopband, although a differentiator does not have a cutoff frequency or a flat passband. A nth-order high-pass filter approximately
Sine_wave
Size of a possibly infinite set
assumed. Formally, the order among cardinal numbers is defined as follows: |X| ≤ |Y| means that there exists an injective function from X to Y. The
Cardinal_number
Filtration efficacy measurement
physically larger or thicker filters, which usually cannot be used in a unit designed for smaller filters. Filters with efficiencies higher than the original may
Clean_air_delivery_rate
Function whose graph is 0, then 1, then 0 again, in an almost-everywhere continuous way
The rectangular function (also known as the rectangle function, rect function, Pi function, Heaviside Pi function, gate function, unit pulse, or the normalized
Rectangular_function
Table that summarizes data from another table
Data visualization Data warehouse Extract, transform, load Fold (higher-order function) OLAP cube Relational algebra Wide and narrow data "United States
Pivot_table
Automatic process by which the brain adjusts to stimuli
of filtering out redundant or irrelevant stimuli from all possible environmental stimuli reaching the brain. Also referred to as gating or filtering, sensory
Sensory_gating
Interferometric technique
Mach-Zehnder interferometer which acts as an optical filter. The shape of the filter transfer function has a perfectly sinusoidal pattern by changing the
Self-mixing_interferometry
Statistical filter
considered as a special window function designed to eliminate spectral leakage. A. N. Kolmogorov had the original idea for the KZ filter during a study of turbulence
Kolmogorov–Zurbenko_filter
Axiom of set theory
with respect to that ordering would give a choice function for X {\displaystyle X} . Conversely, if there exists a choice function for X {\displaystyle
Axiom_of_choice
Electronic circuit
high Q and narrow bandpass filtering function. The inherent square-law nonlinearity of the voltage-to-force transfer function of a cantilever resonator's
Frequency_multiplier
Statistic used for nonlinear interactions
function) is called the bispectrum or bispectral density. Generalizations of power spectrum and bispectrum to higher orders are known as higher order
Bispectrum
with relatively weak nonlinearities. In addition the higher order sinusoidal input describing functions (HOSIDF), describe the response of a class of nonlinear
Describing_function
Signal-processing procedure
(2002). "Noniterative blind data restoration by use of an extracted filter function". Applied Optics. 41 (32): 6884–9. Bibcode:2002ApOpt..41.6884C. doi:10
Blind_deconvolution
Mathematical function
electronic elliptic filters. While trigonometric functions are defined with reference to a circle, the Jacobi elliptic functions are a generalization
Jacobi_elliptic_functions
Residual periodic variation of voltage
components in a filter is called its order. Each reactive component reduces signal strength by 6 dB/octave above (or below for a high-pass filter) the corner
Ripple_(electrical)
Sequence in computer science
algorithms such as counting sort, and they form the basis of the scan higher-order function in functional programming languages. Prefix sums have also been
Prefix_sum
FILTER HIGHER-ORDER-FUNCTION
FILTER HIGHER-ORDER-FUNCTION
Boy/Male
Russian
Fighter.
Boy/Male
Tamil
Sathwaki | ஸதà¯à®µà®¾à®•à¯€
Fighter
Sathwaki | ஸதà¯à®µà®¾à®•à¯€
Boy/Male
Irish
Fighter.
Surname or Lastname
English
English : variant spelling of Hillier 1.
Boy/Male
Irish
Fighter.
Male
Swedish
Old Swedish form of Old Norse Oddr, ODDER means "point of a weapon."
Boy/Male
Celtic Scottish
Fighter.
Surname or Lastname
English
English : variant of Highley.
Girl/Female
Tamil
Satwaki | ஸதà¯à®µà®¾à®•à¯€
Fighter
Satwaki | ஸதà¯à®µà®¾à®•à¯€
Boy/Male
Celtic English Norse Scottish
Fighter.
Surname or Lastname
English
English : topographic name for someone who lived at the edge of a village or by some other boundary, Middle English border, from Old French bordure ‘edge’.
Boy/Male
Celtic Gaelic Irish
Fighter.
Surname or Lastname
English (mainly Sussex and Kent)
English (mainly Sussex and Kent) : topographic name from Middle English hilder ‘dweller on a slope’ (from Old English hylde ‘slope’).
Boy/Male
Irish
Fighter.
Boy/Male
British, English
From the Yard on a Hill
Boy/Male
Russian
Fighter.
Boy/Male
Celtic
Fighter.
Biblical
a digger
Surname or Lastname
English
English : occupational name for a fisherman, Middle English fischer. The name has also been used in Ireland as a loose equivalent of Braden. As an American family name, this has absorbed cognates and names of similar meaning from many other European languages, including German Fischer, Dutch Visser, Hungarian Halász, Italian Pescatore, Polish Rybarz, etc.In a few cases, the English name may in fact be a topographic name for someone who lived near a fish weir on a river, from the Old English term fisc-gear ‘fish weir’.Jewish (Ashkenazic) : occupational name for a fisherman, Yiddish fisher, German Fischer.Irish : translation of Gaelic Ó Bradáin ‘descendant of Bradán’, a personal name meaning ‘salmon’. See Braden.Mistranslation of French Poissant, meaning ‘powerful’, but understood as poisson ‘fish’ (see Poisson), and assimilated to the more frequent English name.
Boy/Male
Biblical
A digger.
FILTER HIGHER-ORDER-FUNCTION
FILTER HIGHER-ORDER-FUNCTION
Boy/Male
Hindu, Indian, Tamil
The Auspicious One
Boy/Male
Celtic
From the island.
Boy/Male
American, British, English, French, Latin
Bean Grower; Derived from the Roman Clan Name Fabius; A Name Given Several Roman Emperors and 16 Saints; One who Grows Beans
Girl/Female
Australian, Scandinavian
Wisdom
Boy/Male
Tamil
Himavanth | ஹிமவஂத
King
Boy/Male
Indian, Sanskrit
To be Bright; To Please
Boy/Male
Hindu, Indian, Tamil
Lord Shiva
Boy/Male
Hindu, Indian
Lord of Ganesha
Girl/Female
Muslim
Desire
Girl/Female
Indian
Extremly wise
FILTER HIGHER-ORDER-FUNCTION
FILTER HIGHER-ORDER-FUNCTION
FILTER HIGHER-ORDER-FUNCTION
FILTER HIGHER-ORDER-FUNCTION
FILTER HIGHER-ORDER-FUNCTION
n.
To purify or defecate, as water or other liquid, by causing it to pass through a filter.
n.
Right arrangement; a normal, correct, or fit condition; as, the house is in order; the machinery is out of order.
n.
A colter. See Colter.
n.
See Kelter.
a.
Applied to time: On the thither side of, older than; of more years than. See Hither, a.
conj. Either
precedes two, or more, coordinate words or phrases, and is introductory to an alternative. It is correlative to or.
n.
One who hits or strikes; as, a hard hitter.
v. i.
To give orders; to issue commands.
imp. & p. p.
of Filter
n.
To give an order for; to secure by an order; as, to order a carriage; to order groceries.
v. i.
To pass through a filter; to percolate.
n.
A body of persons having some common honorary distinction or rule of obligation; esp., a body of religious persons or aggregate of convents living under a common rule; as, the Order of the Bath; the Franciscan order.
n.
A little piece; a flitter; a flinder.
n.
Rank; degree; thus, the order of a curve or surface is the same as the degree of its equation.
adv.
In a high manner, or to a high degree; very much; as, highly esteemed.
n.
A number of things or persons arranged in a fixed or suitable place, or relative position; a rank; a row; a grade; especially, a rank or class in society; a group or division of men in the same social or other position; also, a distinct character, kind, or sort; as, the higher or lower orders of society; talent of a high order.
n.
To give an order to; to command; as, to order troops to advance.
adv.
To this place; -- used with verbs signifying motion, and implying motion toward the speaker; correlate of hence and thither; as, to come or bring hither.
a.
Being on the side next or toward the person speaking; nearer; -- correlate of thither and farther; as, on the hither side of a hill.
n.
See Fisher, 2.