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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
Branch of physics
coherently radiates to form the phase-conjugate wave. Reversal of wavefront means a perfect reversal of photons' linear momentum and angular momentum.
Nonlinear_optics
Electronic control system
"analog phase-locked loop" (APLL), also referred to as a linear phase-locked loop" (LPLL), "digital phase-locked loop" (DPLL), "all digital phase-locked
Phase-locked_loop
Delays experienced through a linear time-invariant system
and phase and no beginning and no end. Linear time-invariant systems process each sinusoidal component independently; the property of linearity means
Group_delay_and_phase_delay
Plot of a dynamical system's trajectories in phase space
(2001). Non-linear Dynamics and Chaos: With applications to Physics, Biology, Chemistry and Engineering. ISBN 9780738204536. Linear Phase Portraits, an
Phase_portrait
Function in discrete mathematics
the addition of the properly designed phase shaping function (non-linear, in general) to the original linear phase functions. The discrete Fourier transform
Discrete_Fourier_transform
Defunct pro audio manufacturer mainly known for its power amps
Phase Linear was an audio equipment manufacturer founded by Bob Carver and Steve Johnston in 1970. While primarily known as a power amplifier company it
Phase_Linear
In control theory, when an LTI system and its inverse are causal and stable
In control theory and signal processing, a linear, time-invariant system is said to be minimum-phase if the system and its inverse are causal and stable
Minimum_phase
System for describing optical polarization
practice. In fact, sometimes the term "phase retarder" is used to refer specifically to linear phase retarders. Linear phase retarders are usually made out of
Jones_calculus
Field of depth extension
coding with linear phase masks works by creating an optical transfer function that encodes distance information. Wavefront Coding with cubic phase masks works
Wavefront_coding
Amplifier that uses quantum mechanical methods
output field differs from a coherent state. Linear phase-invariant (also known as phase-insensitive or phase preserving) amplifiers may be described as
Quantum_amplifier
stages in the same order for any decision-making group is known as the linear phase model. Third, the most talkative member of a group tends to make between
Communication_in_small_groups
Method for modulation of data
1/2 and a linear phase trajectory. Although this linear phase trajectory is continuous, it is not smooth since the derivative of the phase is not continuous
Continuous_phase_modulation
Electric motor that produces a linear force
Brushed linear motors were used in industrial automation applications prior to the invention of Brushless linear motors. Compared with three-phase brushless
Linear_motor
Type of filter in signal processing
easily be designed to be linear phase by making the coefficient sequence symmetric. This property is sometimes desired for phase-sensitive applications
Finite_impulse_response
Device for suppressing part of a signal
multiphase digital modulation systems require filters that have flat phase delay—are linear phase in the passband—to preserve pulse integrity in the time domain
Filter_(signal_processing)
they were linear phase and gave negligible overshoots on transients. The wide-band luminance channel had its bandwidth defined by a linear phase low pass
EMI_2001
Device for suppressing part of a discretely-sampled signal
order, and are often finite impulse response filters, which allows for linear phase response. When used in the context of real-time analog systems, digital
Digital_filter
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
Type of linear motor
primary would be very expensive. As with rotary motors, linear motors frequently run on a three-phase power supply and can support very high speeds. However
Linear_induction_motor
Panasonic brand for audio equipment
$150 (cheapest) to $600 (Most expensive) SB-7000 Linear Phase 3 way loudspeaker (First Linear Phase Speaker system in the World) SL-20 and SL-23 belt
Technics_(brand)
Speaker designed to reproduce sound accurately
monitor implies that the speaker is designed to produce relatively flat (linear) phase and frequency responses. In other words, a studio monitor exhibits minimal
Studio_monitor
Audio effect
, zero dB gain ∡ = − ω D , linear phase τ g r = − d ∡ d ω = D , constant group delay τ p h = − ∡ ω = − D , constant phase delay. {\displaystyle
Digital_delay_line
Unstable behavior of two contacting fluids of different densities
exponentially with time. In the non-linear phase, perturbation amplitude is too large for a linear approximation, and non-linear equations are required to describe
Rayleigh–Taylor_instability
Type of particle accelerator
A linear particle accelerator (often shortened to linac) is a type of particle accelerator that accelerates charged subatomic particles or ions to a high
Linear_particle_accelerator
Method for creating waveforms
is determined mainly by the phase response of the reconstruction filter. An ideal reconstruction filter with a linear phase response (meaning the output
Direct_digital_synthesis
Species of beetle
insertion phase before initiating the linear phase of copulation. It is called the linear phase because the male and female are oriented linearly, with the
Meloe_americanus
Four-stage model of physiological responses to sexual stimulation
sexual response cycle model. The excitement phase (also known as the arousal phase or initial excitement phase) is the first stage of the human sexual response
Human_sexual_response_cycle
Type of signal processing filter
particular stopband specification, but Butterworth filters have a more linear phase response in the passband than Chebyshev Type I/Type II and elliptic filters
Butterworth_filter
Type of wavelet
feature is that the Legendre filters are linear phase FIR (i.e. multiresolution analysis associated with linear phase filters). These wavelets have been implemented
Legendre_wavelet
Wave shaped like the sine function
some phase is chosen as a zero reference, a sine wave of arbitrary phase can be written as the linear combination of two sine waves with phases of zero
Sine_wave
Type of analog linear filter in electronics
a Bessel filter is a type of analog linear filter with a maximally flat group delay (i.e., maximally linear phase response), which preserves the wave
Bessel_filter
Type of sideband modulation
conventional SSB radio. This requires that the SSB radio's modulator be linear-phase and have a sufficient bandwidth to pass the CESSB signal. If an otherwise
Controlled-envelope single-sideband modulation
Controlled-envelope_single-sideband_modulation
Fundamental principle of physics
superposition principle, also known as superposition property, states that, for all linear systems, the net response caused by two or more stimuli is the sum of the
Superposition_principle
Quantum algorithm for eigenvalue estimation
1995. Phase estimation is frequently used as a subroutine in other quantum algorithms, such as Shor's algorithm, the quantum algorithm for linear systems
Quantum phase estimation algorithm
Quantum_phase_estimation_algorithm
Topics referred to by the same term
up linear in Wiktionary, the free dictionary. Linearity is a property of various things in mathematics, physics, and electronics. Linear, linearly, or
Linear_(disambiguation)
Electronic filter circuitry used in loudspeakers
linear phase response, which is thought desirable by many involved in sound reproduction. There are drawbacks though—in order to achieve linear phase
Audio_crossover
Signal processing design process
coefficients are symmetrical (often the case), then such a filter is linear phase, so it delays signals of all frequencies equally which is important in
Filter_design
Signal processing method
cosines case, the same core program could be used to perform all possible linear-phase FIR filters. In contrast to the Maximum Ripple approach, the band edges
Parks–McClellan filter design algorithm
Parks–McClellan_filter_design_algorithm
Form of alternating current
cycle before the remaining conductor. This phase delay gives constant power transfer to a balanced linear load. It also makes it possible to produce a
Three-phase_electric_power
Property of waves that can oscillate with more than one orientation
differential phase delay. Well known manifestations of linear birefringence (that is, in which the basis polarizations are orthogonal linear polarizations)
Polarization_(waves)
Complex number representing a particular sine wave
amplitude (phasor). A linear combination of such functions can be represented as a linear combination of phasors (known as phasor arithmetic or phasor algebra)
Phasor
combination of channel and equalizer gives a flat frequency response and linear phase F ( f ) C ( f ) = 1 {\displaystyle F(f)C(f)=1} . In reality, zero-forcing
Zero-forcing_equalizer
Frequency swept signal
the derivative of the phase is the angular frequency ϕ ′ ( t ) = 2 π f ( t ) {\displaystyle \phi '(t)=2\pi \,f(t)} . For the linear chirp, this results
Chirp
Elapsed fraction of a cycle of a periodic function
Discusses the time-domain sources of phase shift in simple linear time-invariant circuits. Open Source Physics JavaScript HTML5 Phase Difference Java Applet
Phase_(waves)
Space of all possible states that a system can take
The phase space of a physical system is the set of all possible physical states of the system when described by a given parameterization. Each possible
Phase_space
Theory of rapid universe expansion
universe then transitions into a non-linear phase sometimes characterised by turbulence and the formation of non-linear field configurations. This is followed
Cosmic_inflation
Italian audio equipment manufacturer
which allows achieving a 0° linear phase playback. RCF is the first audio manufacturer to have a complete catalogue of 0° phase-compatible sound systems
RCF_audio
Technique in radio direction finding
linear array, each one indicating the deviation angle in one dimension from the center of the beam. There are some common misconceptions about phase comparison
Phase-comparison_monopulse
that passes all spectral components with approximately equal gain and linear phase.). Coherence bandwidth is related to the inverse of the delay spread
Delay_spread
Ideal low-pass filter or averaging filter
given cutoff frequency, without attenuating lower frequencies, and has linear phase response. It may thus be considered a brick-wall filter or rectangular
Sinc_filter
Archaeological horizon of Neolithic Europe
Pottery culture. Late Neolithic, 5000–4500. Late Linear Pottery and legacy cultures. The last phase is no longer the end of the Neolithic. A "Final Neolithic"
Linear_Pottery_culture
Audio effect
specific type of phase-shifting, or "phasing". In phasing, the signal is passed through one or more all-pass filters with non-linear phase response and then
Flanging
Tool for digital signal processing
filter. In this way, the resulting multirate system is a time-varying linear-phase filter via the decimator and interpolator. The lowpass filter consists
Filter_bank
Linear optimal control technique
inherent robustness with guaranteed gain and phase margin, and they also are part of the solution to the LQG (linear–quadratic–Gaussian) problem. Like the LQR
Linear–quadratic_regulator
Mathematical model of the time dependence of a point in space
orbits can be classified. In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a
Dynamical_system
Audio signal processing technique
degrade performance are: Gain slope, or non-linear phase slope, across the system passband. Amplitude and phase ripple across the passband (which may be
Chirp_compression
Mathematical technique for manipulating signals
when x is a linear function of some variable, such as time, these components are sinusoids, and they are orthogonal functions. A phase-shift of x → x
In-phase and quadrature components
In-phase_and_quadrature_components
Fitting an approximating function to data
smoothed values can be written as a linear transformation of the observed values, the smoothing operation is known as a linear smoother; the matrix representing
Smoothing
Syllabic script used for writing Mycenaean Greek
contains Linear B Unicode characters. Without proper rendering support, you may see question marks, boxes, or other symbols instead of Linear B. Linear B is
Linear_B
Digital signal sample rate converter
before the comb sections. CIC filters have some appealing features: Linear phase response (i.e. constant group delay). Utilize only delay, addition, and
Cascaded integrator–comb filter
Cascaded_integrator–comb_filter
Circuits used to correct network or transmission line errors
deviation of the phase slope from linear). As can be seen in the right-hand plot, the phase slope of the low pass filter alone is linear at low frequencies
Lattice and bridged-T equalizers
Lattice_and_bridged-T_equalizers
Ratio of active power to apparent power
sinusoidal line voltage. A linear load does not change the shape of the input waveform but may change the relative timing (phase) between voltage and current
Power_factor
Short "burst" or "envelope" of restricted wave action that travels as a unit
position, which means that it is different from multiplication by a linear phase factor e i k ⋅ r {\displaystyle e^{i\mathbf {k} \cdot \mathbf {r} }}
Wave_packet
Response) in applications that require a linear phase response because it will pass the input without phase distortion. Let the output function be y (
FIR_transfer_function
Array of antennas creating a steerable beam
In antenna theory, a phased array usually means an electronically scanned array, a computer-controlled array of antennas which creates a beam of radio
Phased_array
Differential equation that is linear with respect to the unknown function
In mathematics, a linear differential equation is a differential equation that is linear in the unknown function and its derivatives, so it can be written
Linear_differential_equation
Technology that records, stores, and reproduces sound
signal processing may degrade the audio signal via passband ripple, non-linear phase shift, numeric precision quantization noise or time distortion of transients
Digital_audio
Signal processing filter
stereophonic sound broadcasts. This application requires that the filter has a linear phase response with frequency (i.e., constant group delay) over a wide bandwidth
All-pass_filter
constant modulus transforms where phase functions might be of linear with integer and real valued slopes, or even non-linear phase bringing flexibilities for
List of Fourier-related transforms
List_of_Fourier-related_transforms
Electromagnetic radiation special case
_{y}\right)\end{pmatrix}}} is the Jones vector in the x-y plane. The wave is linearly polarized when the phase angles α x , α y {\displaystyle \alpha _{x}^{},\alpha _{y}}
Linear_polarization
Mass per unit length
constant and phase constant) Consider a long, thin wire of charge Q {\displaystyle Q} and length L {\displaystyle L} . To calculate the average linear charge
Linear_density
Type of electrical transformer
position or linear displacement from a mechanical reference (zero or null position) into a proportional electrical signal containing phase (for direction)
Linear variable differential transformer
Linear_variable_differential_transformer
Algorithm for linear programming
visited will be small. The solution of a linear program is accomplished in two steps. In the first step, known as Phase I, a starting extreme point is found
Simplex_algorithm
Electronic circuit which counteracts non-linear behavior of an amplifier
pre-distorted in the opposite way. Non-linearities occur in amplifiers due to decreasing amplification and changing phase when operated near saturation. This
Linearizer
Property of many linear time-invariant (LTI) systems
Infinite impulse response (IIR) is a fundamental property applying to many linear time-invariant systems that are distinguished by having an impulse response
Infinite_impulse_response
Optical filter device
can be used to filter out reflections. The common types of polarizers are linear polarizers and circular polarizers. Polarizers can also be made for other
Polarizer
Electronic method of transmitting information with a carrier wave
typically generated at low power using filtering or phase-cancellation techniques and then amplified linearly. Because the carrier is suppressed, SSB reception
Single-sideband_modulation
Visual representation used in non-linear control system analysis
for the system. Phase line, 1-dimensional case Phase space, n-dimensional case Phase portrait D.W. Jordan; P. Smith (2007). Non-Linear Ordinary Differential
Phase_plane
Sinusoidal wave whose frequency is an integer multiple
voltage, although not always in phase with the voltage). Current harmonics are caused by non-linear loads. When a non-linear load, such as a rectifier is
Harmonics_(electrical_power)
place during the preceding phase or not. Technological change Science and technology studies Godin, Benoît (2006). "The Linear Model of Innovation: The
Linear_model_of_innovation
Approximation valid for weakly non-linear and fairly long waves
approximation for water waves is an approximation valid for weakly non-linear and fairly long waves. The approximation is named after Joseph Boussinesq
Boussinesq approximation (water waves)
Boussinesq_approximation_(water_waves)
Emulation of animal or human brain
implementation could be based on Holographic Neural Technology (HNeT) non linear phase coherence/decoherence principles. The analogy has been made to quantum
Artificial_brain
Type of differential equation
applies to any linear system, including linear systems of PDEs. A common visualization of this concept is the interaction of two waves in phase being combined
Partial_differential_equation
Quantum algorithm for solving systems of linear equations
obtaining certain limited information about the solution to a system of linear equations, introduced by Aram Harrow, Avinatan Hassidim, and Seth Lloyd
HHL_algorithm
Change of basis applied in quantum computing
In quantum computing, the quantum Fourier transform (QFT) is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier
Quantum_Fourier_transform
the image processing: If the phase of real-valued function is symmetry, than the function has generalized linear phase, and since the human eyes are
Biorthogonal nearly coiflet basis
Biorthogonal_nearly_coiflet_basis
Machine that converts electrical energy into mechanical energy
in design to three-phase AC synchronous motors, stepper motors and SRMs are classified as variable reluctance motor type. A linear motor is essentially
Electric_motor
Digital audio workstation
effect plug-ins including Guitar Amp Pro (guitar amp simulator), and a linear phase corrected version of their 6 channel parametric equalizer. In total,
Logic_Pro
Optical polarization device
single waveplate changing the wavelength of the light introduces a linear error in the phase. Tilt of the waveplate enters via a factor of 1 cos θ {\displaystyle
Waveplate
Type of graph
\log(a))x+\log(\lambda ).} A log–linear (sometimes log–lin) plot has the logarithmic scale on the y-axis, and a linear scale on the x-axis; a linear–log (sometimes lin–log)
Semi-log_plot
Integral transform and linear operator
incompatibility (help)CS1 maint: location (link) Isukapalli, Yogananda. "Types of linear phase FIR filters" (PDF). p. 18. Retrieved 2024-06-08. Johansson, Mathias.
Hilbert_transform
Field of electrical engineering
function Frequency response Poles and zeros Bode plots Minimum phase transfer functions Linear phase Ordinary differential equations and Difference equations
System_analysis
Type of AC electric motor
T_{\text{max}}} . Linear induction motors, which work on the same general principles as rotary induction motors (frequently three-phase), are designed to
Induction_motor
Type of sensor
A linear encoder is a sensor, transducer or readhead paired with a scale that encodes position. The sensor reads the scale in order to convert the encoded
Linear_encoder
Type of activation function
context of artificial neural networks, the rectifier or ReLU (rectified linear unit) activation function is an activation function defined as the non-negative
Rectified_linear_unit
Study of speech signals and the processing methods of these signals
non-linear function of the sum of its inputs.[citation needed] Phase is often assumed to be random, but contains useful information. Wrapping of phase: can
Speech_processing
Audio signal processing operation
De-essing". Sound Advice. Sound on Sound. Retrieved 2015-03-16. Waves – Linear-Phase MultiBand Software Audio Processor Users Guide (PDF), p. 3, retrieved
Dynamic_range_compression
Paradigm of quantum computer
{O}}(N^{2})} linear optical elements. Based on the reason of universality and complexity, LOQC usually only uses mirrors, beam splitters, phase shifters and
Linear optical quantum computing
Linear_optical_quantum_computing
Electronic sound synthesis method
content, they could create spectra more linear, i.e. more similar to traditional subtractive spectra, than Yamaha's phase modulation (PM/FM) synthesis. PM does
Phase_distortion_synthesis
LINEAR PHASE
LINEAR PHASE
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’.
Boy/Male
Hindu
The Sun
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’).
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.
Female
English
Variant spelling of English Linsey, LINSAY means "Lincoln's wetlands."
Male
English
Irish Anglicized form of Gaelic Fionnbarr, FINBAR means "fair-headed."
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."
Surname or Lastname
English
English : occupational name for a whitewasher, Middle English limer, lymer, an agent derivative of Old English līm ‘lime’.
Male
Yiddish
 Variant spelling of Yiddish Lieber, LIBER means "beloved." Compare with another form of Liber.
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.
Female
Scottish
Variant spelling of Scottish Lilias, LILEAS means "lily."
Surname or Lastname
English
English : metronymic from Line.
Boy/Male
Hindu
Lingam
Male
Greek
(ΑἰνÎας) Variant spelling of Greek AineÃas, AINEAS means "praiseworthy."
Boy/Male
Sikh
Love unending
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).
Male
Scandinavian
Scandinavian form of Old Norse Einarr, EINAR means "lone warrior."
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’.
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.
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.
LINEAR PHASE
LINEAR PHASE
Girl/Female
Tamil
Positive energy, Horseless
Boy/Male
Scandinavian
Divine bear.
Boy/Male
Indian
Sun
Boy/Male
Czech
Spirit.
Boy/Male
Indian
The subduer
Female
English
Feminine variant of English unisex Meredith, MERIDETH means "sea day" or "sea sun."
Girl/Female
American, Bengali, British, Christian, English, French, Gujarati, Hindu, Indian, Kannada, Latin, Malayalam, Marathi, Oriya, Sanskrit, Sikh, Sindhi, Tamil, Telugu
Noble Woman; Power of Three Sea; Desire; Thirst; Aristocratic; Three Goddesses Shakthi
Girl/Female
Arabic, Muslim
Treasure of the Eye
Boy/Male
Arabic
Very Pious; Pure
Girl/Female
Spanish American Celtic Irish Italian Latin Swedish
Spirit.
LINEAR PHASE
LINEAR PHASE
LINEAR PHASE
LINEAR PHASE
LINEAR PHASE
v. t.
To mark with a line or lines; to cover with lines; as, to line a copy book.
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.
Linear.
a.
Composed of lines; delineated; as, lineal designs.
prep. & adv.
Near.
v. t.
To convert into vinegar; to make like vinegar; to render sour or sharp.
adv.
In a linear manner; with lines.
a.
Of or pertaining to a line; consisting of lines; in a straight direction; lineal.
n.
One who lines, as, a liner of shoes.
a.
Like a line; narrow; of the same breadth throughout, except at the extremities; as, a linear leaf.
n.
Alt. of Lingam
a.
Descending in a direct line from an ancestor; hereditary; derived from ancestors; -- opposed to collateral; as, a lineal descent or a lineal descendant.
a.
Formed by right lines; rectilineal; as, a right-lined angle.
n.
Made of linen; as, linen cloth; a linen stocking.
n.
A dealer in linen; a linen draper.
n.
One who adjusts things to a line or lines or brings them into line.
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.
a.
Of a linear shape.
n.
A lunar distance.