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Process of mapping a continuous set to a countable set
In mathematics and digital signal processing, quantization is the process of mapping input values from a large set (often a continuous set) to output values
Quantization (signal processing)
Quantization_(signal_processing)
Topics referred to by the same term
The term quantization may refer to: Quantization (signal processing), in mathematics and digital signal processing Quantization (image processing) Color
Quantization
Mathematical signal manipulation by computers
Digital signal processing (DSP) is the use of digital processing, such as by computers or more specialized digital signal processors, to perform a wide
Digital_signal_processing
Ratio of the desired signal to the background noise
called quantization noise. This noise level is non-linear and signal-dependent; different calculations exist for different signal models. Quantization noise
Signal-to-noise_ratio
Continuous time-varying signal
constraints on the representation and adds quantization noise. The term analog signal usually refers to electrical signals; however, mechanical, pneumatic, hydraulic
Analog_signal
Signal with discrete values in time and amplitude
of digital signal processing (DSP), a digital signal is a discrete time, quantized amplitude signal. In other words, it is a sampled signal consisting
Digital signal (signal processing)
Digital_signal_(signal_processing)
Varying physical quantity that conveys information
multiple subject fields, including signal processing, information theory and biology. In signal processing, a signal is a function that conveys information
Signal
Classical quantization technique from signal processing
Vector quantization (VQ) is a classical quantization technique from signal processing that allows the modeling of probability density functions by the
Vector_quantization
Measurement of a signal at discrete time intervals
In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal. A common example is the conversion of a sound wave
Sampling_(signal_processing)
Lossy compression technique
Quantization, involved in image processing, is a lossy compression technique achieved by compressing a range of values to a single quantum (discrete) value
Quantization (image processing)
Quantization_(image_processing)
Method for converting signals between digital and analog
feedback loop during quantization to the lower bit depth that continuously corrects quantization errors and moves quantization noise to higher frequencies
Delta-sigma_modulation
Field of electrical engineering
basis for digital signal processing, without taking quantization error into consideration. Digital signal processing is the processing of digitized discrete-time
Signal_processing
Frameworks for modeling variables that evolve over time
signals, used in digital signal processing, can be obtained by sampling and quantization of continuous signals. Continuous signal may also be defined over
Discrete time and continuous time
Discrete_time_and_continuous_time
Software transformation performed music
In digital music processing technology, quantization is the studio-software process of transforming performed musical notes, which may be imprecise, to
Quantization_(music)
Electronic manipulation of audio signals
Audio signal processing is a subfield of signal processing that is concerned with the electronic manipulation of audio signals. Audio signals are electronic
Audio_signal_processing
Number of bits of information recorded for each digital audio sample
signal falls, resulting in audible variance if the bit depth is low enough. Most processing operations on digital audio involve the re-quantization of
Audio_bit_depth
In mathematics, limiting the number of digits right of the decimal point
Taylor polynomials, for example. Rounding Arithmetic precision Quantization (signal processing) Precision (computer science) Truncation (statistics) Spivak
Truncation
In signal processing, unwanted modifications to a signal
measure of noise by comparing to PCM quantization noise Almost every technique and device for signal processing has some connection to noise. Some random
Noise_(signal_processing)
Data pre-processing technique
median).[citation needed] It is related to quantization: data binning operates on the abscissa axis while quantization operates on the ordinate axis. Binning
Data_binning
Type of machine learning model
calibration phase), and dynamic quantization if the quantization is applied during inference. The simplest form of quantization simply truncates all the parameters
Large_language_model
Similar to the basis of a vector space, but not necessarily linearly independent
simultaneously reduced noise, provided resiliency, and created quantization while encapsulating important signal characteristics. This discovery marked the first concerted
Frame_(linear_algebra)
Noise that reduces quantization error
to randomize quantization error, preventing large-scale patterns such as color banding in images. Dither is routinely used in processing of both digital
Dither
Digital representation of sampled analog signals
type of PCM in which the quantization levels are linearly uniform. This is in contrast to PCM encodings in which quantization levels vary as a function
Pulse-code_modulation
Detection Positron emission tomography Push broom scanner Quantization (signal processing) Range imaging Scanning SQUID microscope Single-Photon Emission
List_of_sensors
Digital signal performance enhancement
image, and video processing, usually in combination with dithering, as part of the process of quantization or bit-depth reduction of a signal. Its purpose
Noise_shaping
Audio performance differences between technologies
uncorrelated quantization noise through the use of dither. The magnitude of this noise or distortion is determined by the number of quantization levels. In
Comparison of analog and digital recording
Comparison_of_analog_and_digital_recording
Inaccuracy in computer graphics
Posterization Quantization (signal processing) Gonzalez, Rafael C.; Woods, Richard E.; Masters, Barry R. (2009). "Digital Image Processing, Third Edition"
Colour_banding
Algorithmic processing of digitally-represented images
image processing is the use of a digital computer to process digital images through an algorithm. As a subcategory or field of digital signal processing, digital
Digital_image_processing
System that converts an analog signal into a digital signal
discrete-amplitude digital signal. The conversion involves quantization of the input, so it necessarily introduces a small amount of quantization error. Furthermore
Analog-to-digital_converter
Technology that records, stores, and reproduces sound
Interface Quantization Sampling Multitrack recording Digital audio workstation Anti-alias filtering and optional digital signal processing may degrade
Digital_audio
Vector quantization algorithm minimizing the sum of squared deviations
k-means clustering is a method of vector quantization, originally from signal processing, that aims to partition n observations into k clusters in which
K-means_clustering
Signal processing technique
In signal processing, signal averaging is a time domain technique applied to repetitive signals, used to recover waveforms that are obscured by random
Signal_averaging
Noise shaping process for audio
human hearing. Audible quantization error is reduced by noise shaping the error according to an equal-loudness contour. This processing takes place in dedicated
Super_Bit_Mapping
Statistical bias in linear regressions
with Frost and Thompson (2000). Errors-in-variables models Quantization (signal processing) – a common source of error in the explanatory or independent
Regression_dilution
Continuous progression from past to future
acceleration of the observer. Time quantization refers to the theory that time has a smallest possible unit. Time quantization is a hypothetical concept. In
Time
proposed to further reduce the quantization error. Pulse-code modulation Quantization (signal processing) Sampling (signal processing) Du, Ke-Lin; Swamy, M. N
Beta_encoder
Figure of merit for analog-to-digital conversion
square quantization error (MSQE) is a figure of merit for the process of analog to digital conversion. In this conversion process, analog signals in a continuous
Mean square quantization error
Mean_square_quantization_error
Signal used to represent data as a sequence of discrete values
signals resembling sine waves. In digital signal processing, a digital signal is a representation of a physical signal that is sampled and quantized.
Digital_signal
Process of varying one or more properties of a periodic waveform
The process encodes information in the form of a message signal modulated onto a carrier signal to be transmitted. For example, the message signal might
Signal_modulation
Overview of and topical guide to electrical engineering
battery Vehicle-to-grid Smart Grid Signal processing Analog signal processing Digital signal processing Quantization Sampling Analog-to-digital converter
Outline of electrical engineering
Outline_of_electrical_engineering
Topics referred to by the same term
engine Holden VQ Statesman/Caprice, an automobile Vector quantization, in signal processing Ventilation Quotient or Ventilation/perfusion scan, in medicine
VQ
Metric used to measure signal quality
Nikolay; Lyakhov, Pavel; Nagornov, Nikolay (2020-02-11). "Analysis of the Quantization Noise in Discrete Wavelet Transform Filters for 3D Medical Imaging".
Peak_signal-to-noise_ratio
Technique used to encode voices in telephony
quantization step, to allow further reduction of the required data bandwidth for a given signal-to-noise ratio. Typically, the adaptation to signal statistics
Adaptive differential pulse-code modulation
Adaptive_differential_pulse-code_modulation
American computer scientist
to the mathematical modeling of speech signals, including his work on linear prediction, and vector quantization. His patented work on the direct application
John_Makhoul
Sufficiency theorem for reconstructing signals from samples
theorem in the field of signal processing which serves as a fundamental bridge between continuous-time signals and discrete-time signals. In the case of uniformly
Nyquist–Shannon sampling theorem
Nyquist–Shannon_sampling_theorem
Use of a GPU for computations typically assigned to CPUs
General-purpose computing on graphics processing units (GPGPU, or less often GPGP) is the use of a graphics processing unit (GPU), which typically handles
General-purpose computing on graphics processing units
General-purpose_computing_on_graphics_processing_units
Telecommunications and signal processing technique
limited-range uniform quantizer, and a (continuous-domain) signal dynamic range expander that inverts the compressor function. This type of quantization is frequently
Companding
Lossy compression method for reducing the size of digital images
hue. In the transform domain, the process of reducing information is called quantization. In simpler terms, quantization is a method for optimally reducing
JPEG
Type of analog-to-digital converter
continuous analog waveform using a binary search through all possible quantization levels. The SAR ADC was first used for experimental pulse-code modulation
Successive-approximation_ADC
Software library for similarity search
following families of vector quantization methods are supported: Binary Quantization Scalar Quantization (SQ) Product Quantization (PQ), including Polysemous
FAISS
BTS contains only the error (the signed difference between the actual and predicted level of the sample). GSM Quantization (signal processing) v t e
Long-term prediction (communications)
Long-term_prediction_(communications)
Compact encoding of digital data
coding Universal code (data compression) Vector quantization Wade, Graham (1994). Signal coding and processing (2 ed.). Cambridge University Press. p. 34.
Data_compression
Video compression standard
initial quantization parameter (QP) ensuring minimal acceptable quality. Subsequent refinement layers reduce the QP by six, halving the quantization step
Scalable_Video_Coding
Lossy audio coding technique
in the digital representation, and thus the smaller the quantization error. Such quantization errors may be thought of as a type of noise, because they
Sub-band_coding
Assessment of the audio output from an electronic device
The limited accuracy results in quantization error, a form of noise that is added to the recording. To reduce quantization error, more precision can be used
Sound_quality
Visible interference in an image
noise. The noise caused by quantizing the pixels of a sensed image to a number of discrete levels is known as quantization noise. It has an approximately
Image_noise
Physical hypothesis
Redshift quantization, also referred to as redshift periodicity, redshift discretization, preferred redshifts and redshift-magnitude bands, is the hypothesis
Redshift_quantization
Dynamic-range metric for digital systems
band of a signal converter where ENOB is still guaranteed is called the effective resolution bandwidth and is limited by dynamic quantization problems
Effective_number_of_bits
Second order recursive digital linear filter
In signal processing, a digital biquad filter is a second order recursive linear filter, containing two poles and two zeros, which implements the analog
Digital_biquad_filter
Mathematical technique used in data compression and analysis
frequency of the basis function. Based on the uncertainty principle of signal processing, Δ t Δ ω ≥ 1 2 {\displaystyle \Delta t\Delta \omega \geq {\frac {1}{2}}}
Wavelet_transform
Topics referred to by the same term
digital signal is a signal that transfers digital data. Digital signal may also refer to: Digital signal (signal processing), a discrete time, quantized representation
Digital signal (disambiguation)
Digital_signal_(disambiguation)
Lossy speech audio codec developed by Google
coding. 2018 IEEE international conference on acoustics, speech and signal processing (ICASSP). IEEE. pp. 676–680. arXiv:1712.01120. Google (2021). "Lyra:
Lyra_(codec)
Technique used in signal processing and data compression
Nasir Ahmed in 1972, is a widely used transformation technique in signal processing and data compression. It is used in most digital media, including
Discrete_cosine_transform
System for digitally encoding audio signals
16-bit samples. Noise shaping of the 64-times oversampled signal provides low quantization noise and low distortion in the audible bandwidth necessary
Direct_Stream_Digital
original on 2016-03-06. Retrieved 2016-01-12. k-d tree is another efficient range query data structure Space partitioning Quantization (signal processing)
Bin_(computational_geometry)
Form of modulation
quantization noise into higher frequencies, low-pass filtering removes the high-frequency quantization noise while keeping the lower-frequency signal
Pulse-density_modulation
Standard for HDTV image encoding and signal characteristics
{\mbox{round}}(3.5000)=4} . These quantization formulas are the same as those defined in ITU-R BT.601. As implied by these formulas, the signals E R ′ {\displaystyle
Rec._709
Data compression
reversible) on its own but is used to enable better (more targeted) quantization, which then results in a lower quality copy of the original input (lossy
Transform_coding
output, even though the correct output should be flat: this is a form of quantization error. Where the Model 700 differs from classical delta-sigma modulation
Dbx Model 700 Digital Audio Processor
Dbx_Model_700_Digital_Audio_Processor
of SignalCom, Inc from 1996 till 2000 when the company was sold to Microsoft. Gersho co-authored a text book with Robert Gray on vector quantization that
Allen_Gersho
Property of many linear time-invariant (LTI) systems
Discrete-Time Signal Processing. Prentice Hall Signal Processing (3rd ed.). Pearson. ISBN 978-0131988422. The fifth module of the BORES Signal Processing DSP course
Infinite_impulse_response
Speech coding algorithm
in closed-loop in a "perceptually weighted domain". Applying vector quantization (VQ) The original algorithm as simulated in 1983 by Schroeder and Atal
Code-excited linear prediction
Code-excited_linear_prediction
Curve simplification algorithm
made non-parametric by using the error bound due to digitization and quantization as a termination condition. Assuming the input is a one-based array:
Ramer–Douglas–Peucker algorithm
Ramer–Douglas–Peucker_algorithm
Process of removing noise from a signal
(2018-11-01). "Quantization Noise of Multilevel Discrete Wavelet Transform Filters in Image Processing". Optoelectronics, Instrumentation and Data Processing. 54
Noise_reduction
Digital communications algorithm
effective quantization step size across the signal. It's not a law, but an algorithm, implementation is typically non-uniform across possible analog signal levels
Encoding_law
Alteration of the original shape of a signal
In signal processing, distortion is the alteration of the original shape (or other characteristic) of a signal. In communications and electronics it means
Distortion
Ghanaian-American communications engineer
to the understanding of quantization effects in digital signal processors and the applications of digital signal processing to data communications, a
Victor_B._Lawrence
Computer graphic effect
quantization is seen as pixelation. Aliasing: As a consequence of sampling or sample-rate conversion, energy from frequencies outside of the signal frequency
Digital_artifact
American information theorist and professor
best known for his contributions to quantization and compression, particularly the development of vector quantization. In 1980, Gray was elevated to the
Robert_M._Gray
Loss of qualities between copies
introduces quantization, causing banding; if fixed by dither, this instead becomes noise. In both cases, these at best degrade the signal's S/N ratio,
Generation_loss
American electrical engineer (1929–2025)
1994. 2008 B. Widrow and I. Kollar. Quantization Noise: Roundoff Error in Digital Computation, Signal Processing, Control, and Communications. Cambridge
Bernard_Widrow
Digital audio compression artifact
In audio signal processing, pre-echo, is a digital audio compression artifact where in the reconstructed signal (following an encoding/decoding cycle)
Pre-echo
Signal boosting phenomenon using white noise
Resonance: From Suprathreshold Stochastic Resonance to Stochastic Signal Quantization, Cambridge University Press, 2008. F. Chapeau-Blondeau; D. Rousseau
Stochastic_resonance
Method in computer arithmetic
For instance, MXFP6 closely matches FP32 for inference tasks after quantization-aware fine-tuning, and MXFP4 can be used for training generative language
Block_floating_point
Signal-processing paradigm that trades precision for volume of measurements
finite-rate-of-innovation signals, and HDR imaging with sweeping thresholds. Kaczmarz method Compressed sensing Phase retrieval Quantization (signal processing) Eamaz,
Sample_abundance
Methods to reduce sound pressure
characterizing structural vibrations, which accelerates the entire testing process when combined with scanning techniques. Since the early 1970s, it has become
Soundproofing
Digital audio effect
the signal-to-noise ratio and dynamic range of the digital signal, specifically by determining the amplitude of a kind of noise called quantization noise
Bitcrusher
Process for reducing noise
was included to compensate for quantization noise. After economies of scale eventually allowed full 16 bits, quantization noise became less of a concern
Emphasis_(telecommunications)
Non-linear digital filtering technique to remove noise
noise from an image, signal, and video. Such noise reduction is a typical pre-processing step to improve the results of later processing (for example, edge
Median_filter
Video encoding standard
concentrate the signal into fewer high-amplitude values prior to applying quantization (see below). Quantization is, essentially, the process of reducing
MPEG-1
Wigner distribution function in physics as opposed to in signal processing
a context related to representation theory in mathematics (see Weyl quantization). In effect, it is the Wigner–Weyl transform of the density matrix, so
Wigner quasiprobability distribution
Wigner_quasiprobability_distribution
State of matter at low temperatures
helium-4 and disorder. Some emerging theories posit that the supersolid signal observed in helium-4 was actually an observation of either a superglass
Superfluid_helium-4
Ratio between the largest and smallest values that a certain quantity can assume
range is limited by quantization error. The maximum achievable dynamic range for a digital audio system with Q-bit uniform quantization is calculated as
Dynamic_range
Transform in numerical harmonic analysis
Practical applications can also be found in signal processing of accelerations for gait analysis, image processing, in digital communications and many others
Discrete_wavelet_transform
Radar signal processing technique
MTI techniques as part of a wider suite of signal processing being carried out by digital signal processors. MTI may be specialized in terms of the type
Moving_target_indication
Partitioning a digital image into segments
Range image segmentation Vector quantization – Classical quantization technique from signal processing Image quantization – Lossy compression techniquePages
Image_segmentation
Random fluctuation in an electrical signal
of noise in signal processing. In communication systems, noise is an error or undesired random disturbance of a useful information signal in a communication
Noise_(electronics)
Video encoding algorithm
Adaptive Quantization Not Suck". 2008-02-22. Archived from the original on 2020-08-07. Implementation of variance-based adaptive quantization in x264 The
Variance Adaptive Quantization
Variance_Adaptive_Quantization
Concept in science
used in physics nowadays, and provides the cornerstone of phase-space quantization. Its negative features are an asset to the formalism, and often indicate
Negative_probability
performance of quantization or interpolation. When measuring the distortion between signals, the scale or temporality/spatiality of the signals can have different
Log-spectral_distance
QUANTIZATION SIGNAL-PROCESSING
QUANTIZATION SIGNAL-PROCESSING
Female
Norse
Variant spelling of Old Norse Signy, SIGNE means "new victory."
Female
Welsh
Pet form of Welsh Siân, SIANA means "God is gracious."
Boy/Male
Hindu
Signal, Goal
Boy/Male
Arabic, Hindu, Indian, Kannada, Muslim
Signal; Guidance; Direction
Girl/Female
Australian, Danish, Finnish, German, Latin, Scandinavian, Swedish
Sign; New Victory
Male
English
Scottish Anglicized form of Gaelic Fionnghall, FINGAL means "white valor."
Surname or Lastname
English (Lancashire)
English (Lancashire) : habitational name from Wignal, a minor place near Holmes in the parish of Croston, so named from the genitive case of the Old English byname Wicga (see Wigley) + Old English h(e)alh ‘nook’, ‘corner’, ‘recess’.
Boy/Male
Tamil
Signal, Goal
Boy/Male
Hindu, Indian
Monk; Signal
Girl/Female
Latin
Sign.
Boy/Male
Arabic
Signal; Hint
Boy/Male
Hindu, Indian, Kannada, Tamil, Telugu
Brilliant; Signal; Symbol
Female
Hebrew
(סִיגָל) Hebrew name SIGAL means "treasure."
Boy/Male
Tamil
Signal, Goal
Male
Slovene
Short form of Slovene Ignacij, possibly IGNAC means "unknowing."
Girl/Female
Danish, German, Latin, Scandinavian, Swedish
Sign; Signal; Victory
Girl/Female
Latin American Swedish
Sign.
Girl/Female
Latin
Sign.
Female
English
Variant spelling of English Sienna, SIENA means "reddish-orange."Â
Boy/Male
Hindu
Signal, Goal
QUANTIZATION SIGNAL-PROCESSING
QUANTIZATION SIGNAL-PROCESSING
Boy/Male
Australian, Indian, Tamil
Alive; Bright Future
Boy/Male
Tamil
Haryaksh | ஹரà¯à®¯à®•à¯à®·
Female
English
English pet form of Greek Barbara, BABS means "foreign; strange."
Boy/Male
Hindu
Surname or Lastname
Jewish (Ashkenazic)
Jewish (Ashkenazic) : German and Polish spelling of Levin.English, Dutch, and North German : from the Old English personal name Lēofwine, composed of the elements lēof ‘dear’, ‘beloved’ + wine ‘friend’. This was the name borne by an English missionary who became the patron saint of Ghent, and the personal name was consequently popular in the Low Countries during the Middle Ages.Irish and Manx : reduced Anglicized form of Gaelic Mac Giolla Guillin ‘son of the servant of William’.
Girl/Female
American, British, English
Of the Woods; From the Forest
Surname or Lastname
English
English : habitational name from Wolseley in Staffordshire, named with the Old English personal name Wulfsige + lēah ‘woodland clearing’.
Girl/Female
Tamil
Beautiful
Girl/Female
Indian
Flower, Good smell
Girl/Female
Muslim
A flower
QUANTIZATION SIGNAL-PROCESSING
QUANTIZATION SIGNAL-PROCESSING
QUANTIZATION SIGNAL-PROCESSING
QUANTIZATION SIGNAL-PROCESSING
QUANTIZATION SIGNAL-PROCESSING
n.
See Jingal.
a.
Of or pertaining to signals, or the use of signals in conveying information; as, a signal flag or officer.
v. i.
To make a sign or signal; to communicate directions or intelligence by signs.
a.
Noticeable; distinguished from what is ordinary; eminent; remarkable; memorable; as, a signal exploit; a signal service; a signal act of benevolence.
a.
Of or pertaining to the reign of a monarch; as, regnal years.
a.
Conclusive; decisive; as, a final judgment; the battle of Waterloo brought the contest to a final issue.
v. t.
To notify by a signals; to make a signal or signals to; as, to signal a fleet to anchor.
n.
A seal; especially, in England, the seal used by the sovereign in sealing private letters and grants that pass by bill under the sign manual; -- called also privy signet.
adv.
In a signal manner; eminently.
p. pr. & vb. n.
of Signal
/
or Signalled (imp. & p. p.) of Signal
n.
A signal telegraph; an apparatus for giving signals by the disposition of lanterns, flags, oscillating arms, etc.
n.
A token; an indication; a foreshadowing; a sign.
pl.
of Sigma
n.
A sign made for the purpose of giving notice to a person of some occurence, command, or danger; also, a sign, event, or watchword, which has been agreed upon as the occasion of concerted action.
v. t.
To communicate by signals; as, to signal orders.
a.
Suitable to be signed; requiring signature; as, a legal document signable by a particular person.
imp. & p. p.
of Sign
n.
One who signs or subscribes his name; as, a memorial with a hundred signers.