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Filter that has a linear response
Linear filters process time-varying input signals to produce output signals, subject to the constraint of linearity. In most cases these linear filters
Linear_filter
Algorithm that estimates unknowns from a series of measurements over time
In statistics and control theory, Kalman filtering (also known as linear quadratic estimation) is an algorithm that uses a series of measurements observed
Kalman_filter
Signal processing algorithm
the Wiener filter (named after Norbert Wiener) is a filter used to produce an estimate of a desired or target random process by linear time-invariant
Wiener_filter
Electronic device
types of electronic filters are linear filters, regardless of other aspects of their design. See the article on linear filters for details on their design
Electronic_filter
System with self-optimizing transfer function
An adaptive filter is a system with a linear filter that has a transfer function controlled by variable parameters and a means to adjust those parameters
Adaptive_filter
Filter for nonlinear state estimation
estimation theory, the extended Kalman filter (EKF) is the nonlinear version of the Kalman filter which linearizes about an estimate of the current mean
Extended_Kalman_filter
Method of interpolating functions on a 2D grid
interpolating functions of two variables (e.g., x and y) using repeated linear interpolation. It is usually applied to functions sampled on a 2D rectilinear
Bilinear_interpolation
Special subset of a partially ordered set
A linear (ultra)filter is an (ultra)filter on the lattice of vector subspaces of a given vector space, ordered by inclusion. Explicitly, a linear filter
Filter_(mathematics)
Type of signal filter
filter depends on the filter design. The filter is sometimes called a high-cut filter, or treble-cut filter in audio applications. A low-pass filter is
Low-pass_filter
Type of signal processing filter
specification, but Butterworth filters have a more linear phase response in the passband than Chebyshev Type I/Type II and elliptic filters can achieve. A transfer
Butterworth_filter
Signal filter whose output is not a linear function of its input
signal processing, a nonlinear filter is a filter whose output is not a linear function of its input. That is, if the filter outputs signals R and S for
Nonlinear_filter
Device for suppressing part of a signal
classifying filters and these overlap in many different ways; there is no simple hierarchical classification. Filters may be: non-linear or linear time-variant
Filter_(signal_processing)
Lens filter for cameras
partially linearly-polarized, a linear polarizer can be used to change the balance of the light in the photograph. The rotational orientation of the filter is
Polarizing filter (photography)
Polarizing_filter_(photography)
Type of electronic circuit or optical filter
the filter design. A high-pass filter is usually modeled as a linear time-invariant system. It is sometimes called a low-cut filter or bass-cut filter in
High-pass_filter
Optical filter device
In photography, a polarizing filter can be used to filter out reflections. The common types of polarizers are linear polarizers and circular polarizers
Polarizer
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 or nonlinear
Electronic_filter_topology
Electronic filter circuit controlled with voltage
Transistor ladder filter Diode ladder filter Sallen–Key filter OTA filter Audio filter Electronic filter Electronic filter topology Non-linear filter Self oscillation
Voltage-controlled_filter
Changing the balance of frequency components in an audio signal
describe the application of such filters regardless of intent. This broad definition, therefore, includes all linear filters at the disposal of a listener
Audio_equalization
Device for suppressing part of a discretely-sampled signal
as analog filters. Digital filters can often be made very high order, and are often finite impulse response filters, which allows for linear phase response
Digital_filter
Type of analog or digital filter
Chebyshev filters are analog or digital filters that have a steeper roll-off than Butterworth filters, and have either passband ripple (type I) or stopband
Chebyshev_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
Filter whose phase response is proportional to frequency
In signal processing, linear phase is a property of a filter where the phase response of the filter is a linear function of frequency. The result is that
Linear_phase
Filters used in signal processing that are optimal in some sense
matched filter is the optimal linear filter for maximizing the signal-to-noise ratio (SNR) in the presence of additive stochastic noise. Matched filters are
Matched_filter
Filter used to construct a smooth analog signal from a digital input
encoded, notably in the sRGB color space, so luminance is not linear. Thus to apply a linear filter, one must first gamma decode the values – and if resampling
Reconstruction_filter
Graphic-art effect
A box blur (also known as a box linear filter) is a spatial domain linear filter in which each pixel in the resulting image has a value equal to the average
Box_blur
Process for estimating a probability density function
normally distributed and the transitions are linear, the Bayes filter becomes equal to the Kalman filter. In a simple example, a robot moving throughout
Recursive_Bayesian_estimation
Type of variable active electronic filter
A state variable filter (SVF) is a type of active filter in electronic circuits. In a state-variable filter architecture the signal and its successive
State_variable_filter
Represents speech as a combination of sound and linear filter
The source–filter model represents speech as a combination of a sound source, such as the vocal cords, and a linear acoustic filter, the vocal tract. While
Source–filter_model
Linear filter used for texture analysis
In image processing, a Gabor filter, named after Dennis Gabor, who first proposed it as a 1D filter, is a linear filter used for texture analysis, which
Gabor_filter
an advantage over recursive filters such as IIR filter (Infinite Impulse Response) in applications that require a linear phase response because it will
FIR_transfer_function
Type of analog linear filter in electronics
signal processing, a Bessel filter is a type of analog linear filter with a maximally flat group delay (i.e., maximally linear phase response), which preserves
Bessel_filter
Filter that rejects signals outside a certain range
A band-pass filter or bandpass filter (BPF) is a device that passes frequencies within a certain range and rejects (attenuates) frequencies outside that
Band-pass_filter
Tool for digital signal processing
system is a time-varying linear-phase filter via the decimator and interpolator. The lowpass filter consists of two polyphase filters, one for the decimator
Filter_bank
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
Filter used in signal processing on continuous-time signals
others. Passive linear electronic analogue filters are those filters which can be described with linear differential equations (linear); they are composed
Analogue_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
Predictive filter
smoothing and control applications. It is closely related to Kalman filters and to linear state observers used in control theory. Its principal advantage
Alpha_beta_filter
Estimation method
subject to those issues. Kalman filter Covariance intersection Ensemble Kalman filter Extended Kalman filter Non-linear filter Unscented optimal control "First-Hand:The
Unscented_transform
Signal processing filter
An all-pass filter is a signal processing filter that passes all frequencies equally in gain, but changes the phase relationship among various frequencies
All-pass_filter
Type of electronic filter used in audio
A Linkwitz–Riley (L-R) filter is an infinite impulse response filter used in Linkwitz–Riley audio crossovers. It is named after its inventors Siegfried
Linkwitz–Riley_filter
Electronic filters designed by the network synthesis method
Butterworth filter, the Chebyshev filter and the Elliptic filter. It was originally intended to be applied to the design of passive linear analogue filters but
Network_synthesis_filters
Non-linear digital filtering technique to remove noise
The median filter is a non-linear digital filtering technique, often used to remove noise from an image, signal, and video. Such noise reduction is a typical
Median_filter
Linear filter in the time domain
root-raised-cosine filter (RRC), sometimes known as square-root-raised-cosine filter (SRRC), is frequently used as the transmit and receive pulse shaping filter in a
Root-raised-cosine_filter
Mathematical model which is both linear and time-invariant
shift invariance. When analyzing filter banks and MIMO systems, it is often useful to consider vectors of signals. A linear system that is not time-invariant
Linear_time-invariant_system
Mathematical transformation reducing the damage caused by aliasing
An anti-aliasing filter (AAF) is a filter used before a signal sampler to restrict the bandwidth of a signal to satisfy the Nyquist–Shannon sampling theorem
Anti-aliasing_filter
Mathematical model for state estimation
for example, the linear filters are optimal for Gaussian random variables, and are known as the Wiener filter and the Kalman-Bucy filter. More generally
Filtering problem (stochastic processes)
Filtering_problem_(stochastic_processes)
Type of filter
capacitor-input filter is a filter circuit in which the first element is a capacitor connected in parallel with the output of the rectifier in a linear power supply
Capacitor-input_filter
Pulse-shaping filter in digital modulation
The raised-cosine filter is a filter frequently used for pulse-shaping in digital modulation due to its ability to minimise intersymbol interference (ISI)
Raised-cosine_filter
Filter in electronics and signal processing
signal processing, mainly in digital signal processing, a Gaussian filter is a filter whose impulse response is a Gaussian function (or an approximation
Gaussian_filter
Type of filter used in image processing
The Kuwahara filter is a non-linear smoothing filter used in image processing for adaptive noise reduction. Most filters that are used for image smoothing
Kuwahara_filter
Model in digital signal processing
hypothetical sequence of Dirac impulses, xs(t), to a linear time-invariant system, otherwise known as a linear filter with such characteristics (which, for an LTI
First-order_hold
Signal processing design process
the filter is going to be implemented: Analog filter Analog sampled filter Digital filter Mechanical filter The design of linear analog filters is for
Filter_design
linear filter, or linear receptive field, which describes how the neuron integrates stimulus intensity over space and time. The output of this filter
Linear-nonlinear-Poisson cascade model
Linear-nonlinear-Poisson_cascade_model
Resonator damping parameter
continuous-time filter with flattest group delay) has an underdamped Q = 1/√3. A second-order Butterworth filter (i.e., continuous-time filter with the flattest
Q_factor
Template for electronic filter design
desired filter can be scaled or transformed. They are most often seen in regard to electronic filters and especially linear analogue passive filters. However
Prototype_filter
simple linear filter or a complex algorithm. Linear equalizer: processes the incoming signal with a linear filter MMSE equalizer: designs the filter to minimize
Equalization_(communications)
Data structure for approximate set membership
actual storage. Linked structures incur an additional linear space overhead for pointers. A Bloom filter with a 1% error and an optimal value of k, in contrast
Bloom_filter
Analog circuit which filters an electronic signal using an amplifier
delay; Q=0.577 for 2nd-order filters. It provides good linear phase. Elliptic filter or Cauer filter – add a notch (or "zero") just outside the passband
Active_filter
Type of Monte Carlo algorithms for signal processing and statistical inference
particle filter methodology is used to solve Hidden Markov Model (HMM) and nonlinear filtering problems. With the notable exception of linear-Gaussian
Particle_filter
Linear filter
A gammatone filter is a linear filter described by an impulse response that is the product of a gamma distribution and sinusoidal tone. It is a widely
Gammatone_filter
Signal filtering technique
frequencies. Top-hat filters are particularly easy to implement digitally. The top hat function can be generated by differentiating a linear ramp function of
Top-hat_filter
Type of mathematical filter
The switching Kalman filtering (SKF) method is a variant of the Kalman filter. In its generalised form, it is often attributed to Kevin P. Murphy, but
Switching_Kalman_filter
Signal processing filter
elliptic filter (also known as a Cauer filter, named after Wilhelm Cauer, or as a Zolotarev filter, after Yegor Zolotarev) is a signal processing filter with
Elliptic_filter
Property of many linear time-invariant (LTI) systems
examples of linear time-invariant systems are most electronic and digital filters. Systems with this property are known as IIR systems or IIR filters. In practice
Infinite_impulse_response
Homomorphic filtering is a generalized technique for signal and image processing, involving a nonlinear mapping to a different domain in which linear filter techniques
Homomorphic_filtering
Frequency dependent circuit
the filter circuitry to become a sine tone sine wave oscillator. Electrical resonance Electronic filter Equalization (audio) Feedback Linear filter Oscillation
Audio_filter
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
Properties of mathematical relationships
mathematics, the term linear is used in two distinct senses for two different properties: linearity of a function (or mapping); linearity of a polynomial.
Linearity
signal processing, a causal filter is a linear time-invariant (LTI) causal system. The word causal indicates that the filter output depends only on past
Causal_filter
Filter bank
A polyphase quadrature filter, or PQF, is a filter bank which splits an input signal into a given number N (mostly a power of 2) of equally distant sub-bands
Polyphase_quadrature_filter
Recursive filter
The ensemble Kalman filter (EnKF) is a recursive filter suitable for problems with a large number of variables, such as discretizations of partial differential
Ensemble_Kalman_filter
Optimization process
approach that relies on linear programming or nonlinear programming solvers to find a solution. MHE reduces to the Kalman filter under certain simplifying
Moving_horizon_estimation
Electronic filter
A crystal filter allows some frequencies to pass through an electrical circuit while attenuating undesired frequencies. An electronic filter can use quartz
Crystal_filter
Type of signal processing filter
A mechanical filter is a signal processing filter usually used in place of an electronic filter at radio frequencies. Its purpose is the same as that of
Mechanical_filter
Two-port non-reciprocal network element
and so on. It is primarily used in active filter design and miniaturization. An ideal gyrator is a linear two-port device which couples the current on
Gyrator
Concept in probability and statistics
)={\overline {\operatorname {K} _{XX}(-\tau )}}} The autocovariance of a linearly filtered process { Y t } {\displaystyle \left\{Y_{t}\right\}} Y t = ∑ k = −
Autocovariance
Probabilistic problem-solving algorithm
systems approximations of Feynman–Kac formulae with applications to non-linear filtering". Séminaire de Probabilités XXXIV. Lecture Notes in Mathematics. Vol
Monte_Carlo_method
Radar component
non-linear filters are: the Extended Kalman filter the Unscented Kalman filter the Particle filter The EKF is an extension of the Kalman filter to cope
Radar_tracker
Electronic filter
steepness of the filter skirt (transition band) and impedance matching to the filter terminations. Image filters are linear filters and are invariably
Composite_image_filter
ISO collection of international standards
imposed: S filter: filter eliminating the smallest scale elements from the surface (or of the shortest wavelength for a linear filter) L filter: filter eliminating
ISO_25178
Orthogonal wavelets
a pair of linear filters is used. Each filter of the pair should be a quadrature mirror filter. Solving the coefficient of the linear filter c i {\displaystyle
Daubechies_wavelet
Electrical component
convert a 2-element-kind LC filter design such as a ladder network into a one-element-kind filter. Equally, for bandpass filters, a two-resonator-kind (resonators
Quarter-wave impedance transformer
Quarter-wave_impedance_transformer
Type of signal processing filter
lattice phase equaliser or lattice filter is an example of an all-pass filter. That is, the attenuation of the filter is constant at all frequencies but
Lattice_phase_equaliser
Mathematical descriptions of the properties of certain cells in the nervous system
dendrite, but the dendrite is completely linear. In the last case, the cable acts as a linear filter; these linear filter properties can be included in the formulation
Biological_neuron_model
MPX filter is a function found in analogue stereo FM broadcasting and personal monitor equipment, FM tuners and cassette decks. An MPX filter is, at least
MPX_filter
Method for converting signals between digital and analog
one integrator is needed, the demodulator can be a simple linear filter (e.g., RC or LC filter) to reconstruct the signal, and the quantizer (e.g., comparator)
Delta-sigma_modulation
Electronic control system
"software phase-locked loop" (SPLL). Analog or linear PLL (APLL) Phase detector is an analog multiplier. Loop filter is active or passive. Uses a voltage-controlled
Phase-locked_loop
Recursive state estimator for state-space models derived via dynamic programming
Under linear–Gaussian observation models, it reduces to the standard Kalman filter update. From a dynamic-programming perspective, the Bellman filter applies
Bellman_filter
Radar system that does not transmit
bistatic range, bearing and Doppler using a non-linear filter, such as the extended or unscented Kalman filter. When multiple transmitters are used, a target
Passive_radar
late 1990s and early 2000s to describe vector quantized responses of a linear filter bank. Julesz, B (March 1981). "Textons, the Elements of Texture Perception
Texton
Algorithm to smooth data points
A Savitzky–Golay filter is a digital filter that can be applied to a set of digital data points for the purpose of smoothing the data, that is, to increase
Savitzky–Golay_filter
Ideal low-pass filter or averaging filter
an ideal filter that removes all frequency components above a given cutoff frequency, without attenuating lower frequencies, and has linear phase response
Sinc_filter
The bridged-T delay equaliser is an electrical all-pass filter circuit utilising bridged-T topology whose purpose is to insert an (ideally) constant delay
Bridged_T_delay_equaliser
Alteration of the original shape of a signal
If F is a linear function, for instance a filter whose gain and/or delay varies with frequency, the signal suffers linear distortion. Linear distortion
Distortion
Type of filter in signal processing
In signal processing, a finite impulse response (FIR) filter is a filter whose impulse response (or response to any finite length input) is of finite duration
Finite_impulse_response
several filters (including wavelets) have been proposed. The Log-Gabor filter is one such filter that is an improvement upon the original Gabor filter. The
Log_Gabor_filter
adaptation to Lie groups of the linear Kalman filtering theory. Instead of using a linear correction term based on a linear output error, the IEKF uses a
Invariant extended Kalman filter
Invariant_extended_Kalman_filter
Generalized filtering is a generic Bayesian filtering scheme for nonlinear state-space models. It is based on a variational principle of least action
Generalized_filtering
Filters designed using the image impedance methodology suffer from a peculiar flaw in the theory. The predicted characteristics of the filter are calculated
Image_filter_end_terminations
or sigma-point smoothers) for non-linear state-space models. Particle smoothers The terms Smoothing and Filtering are used for four concepts that may
Smoothing problem (stochastic processes)
Smoothing_problem_(stochastic_processes)
LINEAR FILTER
LINEAR FILTER
Surname or Lastname
English (Devon; of Cornish origin)
English (Devon; of Cornish origin) : topographic name for someone who lived by a menhir, i.e. a tall standing stone erected in prehistoric times (Cornish men ‘stone’ + hir ‘long’).
Surname or Lastname
English
English : habitational name from Lingart, Lancashire, or Lingards Wood in Marsden, West Yorkshire, both named from Old English līn ‘flax’ + garðr ‘enclosure’.
Male
Yiddish
 Variant spelling of Yiddish Lieber, LIBER means "beloved." Compare with another form of Liber.
Boy/Male
Hindu
Lingam
Male
Scandinavian
Scandinavian form of Old Norse Einarr, EINAR means "lone warrior."
Surname or Lastname
English
English : occupational name for a whitewasher, Middle English limer, lymer, an agent derivative of Old English līm ‘lime’.
Female
Scottish
Variant spelling of Scottish Lilias, LILEAS means "lily."
Surname or Lastname
Swedish
Swedish : ornamental name from lind ‘lime tree’ + either the German suffix -er denoting an inhabitant, or the surname suffix -ér, derived from the Latin adjectival ending -er(i)us.English (mainly southeastern) : variant of Lind 2.German : habitational name from any of numerous places called Linden or Lindern, named with German Linden ‘lime trees’.
Surname or Lastname
English
English : metronymic from Line.
Male
English
Irish Anglicized form of Gaelic Fionnbarr, FINBAR means "fair-headed."
Surname or Lastname
English
English : variant of Lingard.French : occupational name for a maker of or dealer in linen goods, from Old French linge ‘linen (goods)’ (see Linge 1).
Boy/Male
Sikh
Love unending
Girl/Female
Irish
Eimear possessed the “Six Gifts of Womanhood†– “beauty, a gentle voice, sweet words, wisdom, needlework and chastity!†She was bethrothed to the warrior Cuchulainn (read the legend) when they were children and they loved each other very deeply. But Cuchulainn had “a wandering eye†and Eimear endured this, realizing “everything new is fair,†but when he made love to Fand, wife of the sea god Manannan, Eimear confronted the lovers. After seeing the strength of Fand’s love she offered to withdraw. Touched by this display of unselfishness, Fand left Cuchulainn and returned to the sea. When Cuchulainn died Eimear spoke movingly and lovingly at his graveside.
Surname or Lastname
English
English : variant of Lanier 1.Dutch : variant of Leonard.Jewish (western Ashkenazic) : name taken by someone who was good at chanting the Pentateuch at public worship in the synagogue or who regularly did so, from West Yiddish layner ‘reader’ (a derivative of West Yiddish laynen ‘to read’, which comes ultimately from Latin legere ‘to read’).Jewish (Ashkenazic) : occupational name for a flax grower or merchant, from German Lein ‘flax’ + agent suffix -er.
Surname or Lastname
English (Cornish)
English (Cornish) : habitational name from a place named with Cornish lan ‘church’. In England this surname is now found chiefly in the southern counties of Wiltshire and Hampshire, and Berkshire; it has no doubt moved there from Cornwall.
Boy/Male
Hindu
The Sun
Boy/Male
Irish
Meaning “â€fair-haired,â€â€ the name has been popular since the sixth century when St. Finbar came to an area of Cork that was being tormented by a serpent. The people begged him to do something to help them. One night he went to where the serpent was sleeping and sprinkled it with holy water. The angry serpent tore and devoured the land until she slithered into the sea at Cork Harbor. The track she left behind filled with water and became the River Lee and that’s why St. Finbar is the patron saint of Cork. It is said that the sun didn’t set for two weeks after Finbar’s death.
Female
English
Variant spelling of English Linsey, LINSAY means "Lincoln's wetlands."
Male
Greek
(ΑἰνÎας) Variant spelling of Greek AineÃas, AINEAS means "praiseworthy."
Female
English
English name probably derived from Germanic lindi, LINDA means "serpent."Â In some cases, it may have been derived from the Spanish word for "pretty."
LINEAR FILTER
LINEAR FILTER
Male
Egyptian
, temple governor.
Girl/Female
Latin
Joy.
Boy/Male
Australian, Finnish, Japanese
Powerful Ruler; Shore; Innocent
Girl/Female
Muslim
Light, Angel
Boy/Male
Hindu, Indian, Malayalam, Marathi
Like Om
Surname or Lastname
Irish
Irish : reduced Anglicized form of Gaelic Ó hEodhusa ‘descendant of Eodhus’; this was the name of a bardic family associated with the Maguires of Fermanagh, also Anglicized as Oswell, Oswald.English (of Norman origin) : habitational name from Houssaye in Seine-Maritime, so called from a collective noun from Old French hous ‘holly’.English : nickname for a woman who was mistress of her own household, from Middle English husewif (a compound of Old English hūs ‘house’ + wīf ‘woman’). It was not until the 17th century that this word acquired pejorative connotations.
Girl/Female
Muslim/Islamic
She was the daughter of Ahmad bin Mishqar and a distinguished woman of her times; she was the wife of Sayfud-din al- Hanafi. (A.N)
Girl/Female
Indian
Initiation
Girl/Female
Irish
Comes from ri “sovereign, king†and the diminutive -in and means “the king’s child†or may come from riogach “impulsive, furious.†Regan may be used for a boy or a girl.
Girl/Female
Gujarati, Indian
Talented; Perfect
LINEAR FILTER
LINEAR FILTER
LINEAR FILTER
LINEAR FILTER
LINEAR FILTER
v. t.
To mark with a line or lines; to cover with lines; as, to line a copy book.
a.
Of or pertaining to a line; consisting of lines; in a straight direction; lineal.
a.
Descending in a direct line from an ancestor; hereditary; derived from ancestors; -- opposed to collateral; as, a lineal descent or a lineal descendant.
n.
Made of linen; as, linen cloth; a linen stocking.
a.
Linear.
a.
Formed by right lines; rectilineal; as, a right-lined angle.
a.
Of a linear shape.
n.
A dealer in linen; a linen draper.
a.
In the direction of a line; of or pertaining to a line; measured on, or ascertained by, a line; linear; as, lineal magnitude.
a.
Composed of lines; delineated; as, lineal designs.
a.
Like a line; narrow; of the same breadth throughout, except at the extremities; as, a linear leaf.
n.
One who lines, as, a liner of shoes.
adv.
In a linear manner; with lines.
n.
A lunar distance.
n.
Alt. of Lingam
prep. & adv.
Near.
a.
Of, pertaining to, or included by, two lines; as, bilinear coordinates.
n.
A vessel belonging to a regular line of packets; also, a line-of-battle ship; a ship of the line.
n.
One who adjusts things to a line or lines or brings them into line.
v. t.
To convert into vinegar; to make like vinegar; to render sour or sharp.