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In control theory, when an LTI system and its inverse are causal and stable
and signal processing, a linear, time-invariant system is said to be minimum-phase if the system and its inverse are causal and stable. The most general
Minimum_phase
Defunct speaker manufacturing company
Veritone Minimum Phase Speakers, or VMPS, was a loudspeaker manufacturer founded in 1977 by speaker designer Brian Cheney. Many VMPS speakers received
Veritone Minimum Phase Speakers
Veritone_Minimum_Phase_Speakers
Signal processing operation
filter is minimum-phase if the zeros of its transfer function fall in the left half of the complex s-plane. A discrete-time filter is minimum-phase if the
Bilinear_transform
Parameter of electronic amplifiers
to achieve a minimum phase margin of 45° or so. This means that at the frequency at which the open and closed loop gains meet, the phase angle is −135°
Phase_margin
Monday. A phase-in of a $15 minimum wage would also lift some 900,000 out of poverty, according to the nonpartisan CBO. This higher federal minimum could
Minimum wage in the United States
Minimum_wage_in_the_United_States
negligibly small. If the channel impulse response is assumed to be minimum phase, the problem becomes trivial. Bussgang methods make use of the Least
Blind_equalization
Theorem of stationary processes
could define an acausal and non-minimum phase model. Nevertheless the theorem assures the existence of a causal minimum-phase moving average that exactly
Wold's_theorem
Diagram showing the singularities of a given control system's transfer function
Causal system / anticausal system Region of convergence (ROC) Minimum phase / non minimum phase A pole-zero plot shows the location in the complex plane of
Pole–zero_plot
Signal processing filter
notch comb filter. They may also be used to convert a mixed phase filter into a minimum phase filter with an equivalent magnitude response or an unstable
All-pass_filter
Reconstruction of a filtered signal
k|W(\omega )|.\,} If we assume that the wavelet is minimum phase, we can recover it by calculating the minimum phase equivalent of the power spectrum we just found
Deconvolution
Graph of the frequency response of a control system
(usually in decibels) of the frequency response, and a Bode phase plot, expressing the phase shift. As originally conceived by Hendrik Wade Bode in the
Bode_plot
Family of control systems
)G)}}\approx {\frac {1}{(1+K^{*}G)}}} . When G {\displaystyle G} is stable and minimum-phase, the approximated model reference problem is equivalent to the minimization
Data-driven_control_system
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
Filter conversion technique
bilinear transform (BLT). While this transform preserves stability and minimum phase, it preserves neither time- nor frequency-domain response and so is
Matched_Z-transform_method
Type of continuous-phase frequency-shift keying
In digital modulation, minimum-shift keying (MSK) is a type of continuous-phase frequency-shift keying that was developed in the late 1950s by Collins
Minimum-shift_keying
some practical limitations. The controller is desired to be of minimum degree, minimum phase (if possible) and stable. It must have enough bandwidth and
Coefficient_diagram_method
Circuits used to correct network or transmission line errors
between amplitude and phase for minimum phase shift networks. Phase correction was accomplished by three identical second order phase correctors in the form
Lattice and bridged-T equalizers
Lattice_and_bridged-T_equalizers
Wave on the surface of a fluid, dominated by surface tension
much above by gravity. The value of this wavelength and the associated minimum phase speed c m {\displaystyle c_{m}} are: λ m = 2 π σ ( ρ − ρ ′ ) g and c
Capillary_wave
Least-weight tree connecting graph vertices
In graph theory, a minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph
Minimum_spanning_tree
Mathematical signal manipulation by computers
Goertzel algorithm Least-squares spectral analysis LTI system theory Minimum phase s-plane Transfer function Z-transform Analog signal processing Computer
Digital_signal_processing
Type of predictive controller
for the model to perfectly match the plant. Feed-forward control Non-minimum phase O. J. Smith, Closer control of loops with dead time, Chemical Engineering
Smith_predictor
Mathematical model of a system in control engineering
\mathbf {G} (s)} can similarly be used to determine whether the system is minimum phase. The system may still be input–output stable (see BIBO stable) even
State-space_representation
Control paradigm in which errors are measured before they can affect a system
new technique that changes the phase of an open-loop transfer function of a non-minimum phase system into minimum phase. Black box, system where only the
Feed_forward_(control)
Radar 2D mapping technique
aberrated geometry. Target dispersion: Dispersive targets have a non-minimum phase response, appearing to shift in position with RF frequency. Examples
Inverse synthetic-aperture radar
Inverse_synthetic-aperture_radar
Type of superconducting quantum bit
i.e. for currents below the critical current. With the phase particle trapped in a minimum, it has zero average velocity and therefore zero average
Phase_qubit
Engineer, academic, and author
statistics for coping with non-Gaussianity, including identification of non-minimum phase systems, parameter estimation for AR, ARMA and MA models, harmonic retrieval
Jerry_M._Mendel
Concept in Fourier analysis
Beckhoff information system. April 4, 2020. "rceps – Real cepstrum and minimum-phase reconstruction". MATLAB Documentation. Oppenheim, A. V. (1965). Superposition
Cepstrum
Dutch engineer and professor
Dutch). Delta. Retrieved 26 July 2016. Augustinus Johannes Berkhout, Minimum Phase in Sampled-Signal Theory, PhD Dissertation, Delft University of Technology
Guus_Berkhout
Acoustics process
cabinet types. QuickEQ exports minimum- or 0-phase FIR filters or peaking EQs depending on the target device. RePhase is a free EQ and crossover generation
Digital_room_correction
zeros, the reason for developing this concept was to control the non-minimum phase and nonlinear systems effectively. The concept is widely utilized in
Zero_dynamics
Recursive algorithm in graph theory
{\displaystyle s} - t {\displaystyle t} cuts. The minimum cut found in all phases will be the minimum weighted cut of the graph. A cut is a partition of
Stoer–Wagner_algorithm
Mathematical model of continuous gusts
Colored noise may, in some circumstances, be generated as the output of a minimum phase linear filter through a process known as spectral factorization. Consider
Dryden_Wind_Turbulence_Model
Electronic signal to synchronize circuits
requires an external 2-phase clock generator. The MOS Technology 6502 uses the same 2-phase logic internally, but also includes a 2-phase clock generator on-chip
Clock_signal
simplicity but doesn’t fully meet key physics standards, such as the minimum phase criterion or the Kramers-Kronig relations. The modified Kolsky model
Kolsky_Q_models
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
Solar minimum that took place between 800 and 600 BC
time began already in the late 19th century. The Homeric Minimum has been linked with a phase of climate change known as the Homeric Climate Anomaly or
Homeric_Minimum
Minimum age at which a person can legally purchase or drink alcoholic beverages
The legal drinking age is the minimum age at which a person can legally consume alcoholic beverages. The minimum age alcohol can be legally consumed can
Legal_drinking_age
Legislation to protect workers
minimum wage at 40% average urban salaries to be phased in fully by 2015. See List of minimum wages in China (PRC) for a list of the latest minimum monthly
Minimum_wage_law
General principle in thermodynamics regarding pVT systems in equilibrium
constituents of the system, i.e. the minimum number of independent species necessary to define the composition of all phases of the system. The number of degrees
Phase_rule
Type of mathematical relation
amplitude-vs-phase relation in the special case of a minimum phase system, sometimes called the Bode gain–phase relation. The terms Bayard–Bode relations and
Kramers–Kronig_relations
Computer science transaction algorithm
In transaction processing, databases, and computer networking, the two-phase commit protocol (2PC, tupac) is a type of atomic commitment protocol (ACP)
Two-phase_commit_protocol
Topics referred to by the same term
India VLAN Management Policy Server, a networking protocol Veritone Minimum Phase Speakers, a manufacturer of loudspeakers This disambiguation page lists
VMPS
Type of wave pulse
of a wave that has the minimum possible duration for a given spectral bandwidth. Bandwidth-limited pulses have a constant phase across all frequencies
Bandwidth-limited_pulse
Electronic filter circuitry used in loudspeakers
longer delay time is incurred than would be necessary with an IIR or minimum phase FIR filters. IIR filters, which are by nature recursive, have the drawback
Audio_crossover
systems (these using the Z-Transform as transfer function), and non minimum phase systems. The development of CAD tools has been an important, more recent
Quantitative_feedback_theory
Single-track vehicle steering technique
inclining inward. Bicycle and motorcycle dynamics Motorcycle safety Non-minimum phase system Sheldon Brown. "Countersteering". Retrieved 9 November 2012.
Countersteering
Stage of seismic exploration
sources is that the seismic signal (known as the seismic wavelet) is minimum phase i.e. most of the wavelet's energy is focused at its onset and therefore
Seismic_data_acquisition
B_{N}(z)]} is N − 1 {\displaystyle N-1} . A minimum phase A N ( z ) {\displaystyle A_{N}(z)} results in a minimum energy RF pulse. Pauly, J; P Le Roux; D
Shinnar–Le_Roux_algorithm
Type of small business loan
000 that include a change of ownership. Based on the prime rate. No set minimum, but typically at least prime + 1%. By rule may be no higher than prime
SBA_7(a)_Loan
Method of breaking ice sheets through mechanical vibration
gravitational waves in the water. When the velocity of the load is close to the minimum phase velocity of the FGW, the water ceases to support the ice sheet, and
Resonance method of ice destruction
Resonance_method_of_ice_destruction
Star system in the Centaurus constellation
a very long stellar activity cycle and is slowly recovering from a minimum phase. Alpha Centauri B, also known as Toliman, is the secondary star of the
Alpha_Centauri
Method for modulation of data
algorithm. Minimum-shift keying (MSK) is another name for CPM with an excess bandwidth of 1/2 and a linear phase trajectory. Although this linear phase trajectory
Continuous_phase_modulation
matrix D for n taxa Output: Tree T with locally minimal BME score Phase 1 — Greedy Minimum Evolution (GME) tree construction: 1. Initialize tree T with the
Minimum_evolution
Theory of continuous phase transitions
attempt to formulate a general theory of continuous (i.e., second-order) phase transitions. It can also be adapted to systems under externally-applied
Landau_theory
Theory of traffic flow
Three-phase traffic theory is a theory of traffic flow developed by Boris Kerner between 1996 and 2002. It focuses mainly on the explanation of the physics
Three-phase_traffic_theory
United States tax law provision
liability by the full tentative minimum tax effective marginal rate of 32.5% or 35% (for those in the AMT exemption phase-out range) plus the full state
Alternative_minimum_tax
Feature of a transverse wave
the medium is at a maximum. A trough is the opposite of a crest, so the minimum or lowest point of the wave. When the crests and troughs of two sine waves
Crest_and_trough
Electrical circuit detecting phase difference
difference in phase between two signal inputs. The phase detector is an essential element of the phase-locked loop (PLL). Detecting phase difference is
Phase_detector
2025 Israel–Hamas ceasefire agreement
Israel and Hamas had reached an agreement to begin the first phase of the deal. Under this phase, all living hostages were to be released in exchange for
Gaza_peace_plan
Filter that has a linear response
frequency response with the same magnitude but a different phase; in most cases the so-called minimum phase transfer function is preferred. Filters in the time
Linear_filter
waveguide dispersion cancel one another. In all silica-based optical fibers, minimum material dispersion occurs naturally at a wavelength of approximately 1300 nm
Zero-dispersion_wavelength
Cancelled second phase of UK high speed railway
Phase 2 was planned for completion in 2032–2033. However, it was finally cancelled on 4 October 2023. Phase two was split into two sub-phases: Phase 2a:
High_Speed_2_Phase_Two
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
Gradual reduction of the use and production of fossil fuels
Fossil fuel phase-out is the proposed gradual global reduction of the use and production of fossil fuels to zero, to reduce air pollution, limit climate
Fossil_fuel_phase-out
Distributed algorithm
In computer networking and distributed databases, the three-phase commit protocol (3PC) is a distributed algorithm that ensures all nodes in a system
Three-phase_commit_protocol
American computer scientist (born 1958)
August 1995. G. B. Giannakis and J. M. Mendel, "Identification of non-minimum phase systems using higher-order statistics", IEEE Transactions on Acoustics
Georgios_B._Giannakis
Type of complex number
physics and representation theory, a phase factor is a multiplier representing the phase of a wave or the phase difference between two quantities. It
Phase_factor
International working group
The Proteomics Standards Initiative focuses on the following subjects: minimum information about a proteomics experiment defines the metadata that should
Proteomics Standards Initiative
Proteomics_Standards_Initiative
Rapid transit system in Bengaluru, Karnataka, India
(77 mi) Phase 3 was initially proposed in May 2016. Certain significant sections that were proposed for Phase 3 were included in Phase 2 as Phase 2A and
Namma_Metro
Observable quantity in imaging astronomical interferometry
observations using astronomical interferometers. A minimum of three antennas are required for closure phase measurements. In the simplest case, with three
Closure_phase
Type of AC electric motor
Three-phase squirrel-cage induction motors are widely used as industrial drives because they are self-starting, reliable, and economical. Single-phase induction
Induction_motor
Special forces unit policy and procedures
training is designed to prepare candidates for day one of First Phase. The first phase of BUD/S assesses SEAL candidates in physical conditioning, water
United States Navy SEAL selection and training
United_States_Navy_SEAL_selection_and_training
Spanish Retired Professor of Engineering
ideas on the non-causal inversion (inverse dynamics) of non-linear non-minimum-phase systems have had a growing influence in robotics and in non-linear control
Eduardo_Bayo
Melting points of chemical mixtures
thermodynamic equilibrium. The solidus is the locus of temperatures (a curve on a phase diagram) below which a given substance is completely solid (crystallized)
Liquidus_and_solidus
Machinery used to adjust conditions on the electric power transmission grid
power factor is unity. The minimum armature current corresponds to the point of unity power factor (voltage and current in phase). As in a synchronous motor
Synchronous_condenser
Type of data encoding
Phase-shift keying (PSK) is a digital modulation process which conveys data by changing (modulating) the phase of a constant frequency carrier wave. The
Phase-shift_keying
performance. Fighter aircraft may fly past the target aircraft at this phase. Helicopter interceptors typically fly slightly ahead and to the left of
Interception_procedure
Mechanism of spontaneous phase separation
biphasic system becomes lower in free energy, but the homogenous phase remains at a local minimum in free energy, and so is resistant to small fluctuations.
Spinodal_decomposition
Technique in analytical chemistry
purposes. High pressure pumps force mixtures of various solvents (the mobile phase, e.g., water, buffers, acetonitrile and/or methanol) to flow through a sample
High-performance liquid chromatography
High-performance_liquid_chromatography
Chronic sleep disorder
Delayed sleep phase disorder (DSPD), more often known as delayed sleep phase syndrome and also as delayed sleep–wake phase disorder, is the delaying of
Delayed_sleep_phase_disorder
French progressive rock band
Minimum Vital is a French progressive rock band founded in 1982 by the brothers Thierry and Jean Luc Payssan from Bègles near Bordeaux. Minimum Vital's
Minimum_Vital
Policies of Andrew Cuomo
supported raising the minimum wage as Governor of New York. He announced a phase-in plan to slowly transition to a $15 minimum wage. Some restaurant workers
Political positions of Andrew Cuomo
Political_positions_of_Andrew_Cuomo
Sun-like star in the constellation Hercules
and hence it is considered a good candidate for being in a Maunder minimum phase. Chi Herculis is an older star with an estimated age of 7.4 billion
Chi_Herculis
English association football leagues
again in 2018. Phase one went into operation in 2004–05. At the start of the 2006–07 season, phase two was introduced, and a further phase three started
National_League_System
Rapid transit system in India serving Delhi NCR
December 2004. The network was developed in phases. Phase I was completed by 2006, followed by Phase II in 2011. Phase III was mostly complete by 2021, except
Delhi_Metro
Belgian offshore wind farm in the North Sea
Zeebrugge, and has been built in two phases. It has a 330 MW production capacity and an estimated annual output of 1.1 TWh. Phase 1 had a 165 MW production capacity
Belwind_Offshore_Wind_Farm
Ability of a substance to exist in more than one distinct amorphous state
two distinct amorphous states with a clear, discontinuous (first-order) phase transition between them. When such a transition occurs between two stable
Polyamorphism
Data communications modulation protocol
symbol period. In general, independent oscillators will not be at the same phase and therefore the same amplitude at the switch-over instant, causing sudden
Frequency-shift_keying
Statistics used for ranking and seeding football teams
or Conference League group stage / league phase are not additional to win/draw points; they provide a minimum points allowance for participating clubs
UEFA_coefficient
Periodic change in the Sun's activity
sensitively on the phase of the solar cycle. A case in point are the three large X-class flares that occurred in December 2006, very near solar minimum; an X9.0
Solar_cycle
Mixture with a lower melting point than its constituents
source for example https://himikatus.ru/art/phase-diagr1/Au-Cu.php does display a melting point minimum at 910 °C and given as 44 atom % Cu, which converts
Eutectic_system
Monochrome light beam whose amplitude envelope is a Gaussian function
Gouy phase at z, an extra phase term beyond that attributable to the phase velocity of light. The physical electric field is obtained from the phasor field
Gaussian_beam
25th US national census
Early planning started in October 2018, followed by a design selection phase which is currently under way. Public input was collected between August
2030_United_States_census
Military unit
is required to move on to the next phase of the course. After Battle Forge, small groups conclude the company phase with education on training management
Maneuver Captains Career Course
Maneuver_Captains_Career_Course
Star in the Large Magellanic Cloud
Luminous Blue Variable Ag Carinae. I. Fundamental Parameters During Visual Minimum Phases and Changes in the Bolometric Luminosity During the S-Dor Cycle". The
S_Doradus
non-zero Josephson phase φ across it in the ground state. A π Josephson junction, which has the minimum energy corresponding to the phase of π, is a specific
Phi_Josephson_junction
Science behind the motion of bicycles and motorcycles
analysis. Finally, in the language of control theory, a bike exhibits non-minimum phase behavior. It turns in the direction opposite of how it is initially
Bicycle and motorcycle dynamics
Bicycle_and_motorcycle_dynamics
Military unit
and civilians. It takes, at a minimum, four and a half years to create a Marine CSO; a Marine must have served a minimum of three years or achieved the
Critical_skills_operator
Electronic sound synthesis method
Phase distortion (PD) synthesis is a synthesis method introduced in 1984 by Casio in its CZ range of synthesizers. In outline, it is similar to phase
Phase_distortion_synthesis
Form of treatment for anorexia nervosa
research. The Maudsley Approach proceeds through three clearly defined phases. The process is divided into 15–20 treatment sessions and takes about 12
Maudsley_family_therapy
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