Quantization error can be reduced if the system stores enough digital data to represent the signal to the desired degree of fidelity.

Quantization error is due to the finite resolution of the digital representation of the signal, and is an unavoidable imperfection in all types of ADCs.

Quantization is involved to some degree in nearly all digital signal processing, as the process of representing a signal in digital form ordinarily involves rounding.

* Quantization ( signal processing )

Quantization error ( or quantization noise ) is the difference between the original signal and the digitized signal.

This is because the minimum possible noise level is the error caused by the quantization of the signal, sometimes called Quantization noise.

Quantization noise is modeled as an analog error signal summed with the signal before quantization (" additive noise ").

* Quantization ( signal processing )

* Quantization ( signal processing )

** Quantization ( image processing )

** Quantization ( sound processing )

Quantization, involved in image processing, is a lossy compression technique achieved by compressing a range of values to a single quantum value.

Prof. Kohonen has made many contributions to the field of artificial neural networks, including the Learning Vector Quantization algorithm, fundamental theories of distributed associative memory and optimal associative mappings, the learning subspace method and novel algorithms for symbol processing like redundant hash addressing.

* What is " Relativistic Canonical Quantization "?

Quantization is the procedure of constraining something from a relatively large or continuous set of values ( such as the real numbers ) to a relatively small discrete set ( such as the integers ).

Quantization error and ( assuming the ADC is intended to be linear ) non-linearity are intrinsic to any analog-to-digital conversion.

* G. 723 is a hybrid speech coder, with high bit rate using Multi-Pulse Maximum Likelihood Quantization ( MP-MLQ ) and low bit rate using Algebraic Code Excited Linear Prediction ( ACELP )

This is the English Spelling of the American English Quantization.

The thermodynamics of such motors is constrained by the ramifications of the Fluctuation Theorems, Pumping Quantization Theorems,

In Computer Science, Learning Vector Quantization ( LVQ ), is a prototype-based supervised classification algorithm.

* John Baez's review of Geometric Quantization, by John Baez is short and pedagogical

Quantization noise is a model of quantization error introduced by quantization in the analog-to-digital conversion ( ADC ) in

; Quantization: Samples are rounded to a fixed set of numbers ( such as integers ), a process known as quantization.

# Quantization of the amplitudes, frequencies or phases to the nearest allowed symbol values.

* Quantization as a consequence of the finite precision of words that represent the converted values.

* Annex T – Modified Quantization mode

** T. Thiemann The LQG – String: Loop Quantum Gravity Quantization of String Theory ( 2004 )

* V. Barbu and S. S. Sritharan, “ M-accretive Quantization of the Vorticity Equation ", in Semi-groups of Operators: Theory and Applications, edited by A. V. Balakrishnan, Birkhauser, Boston, 2000, pp. 296 – 303.

Quantization can be reduced by using high precision while editing ( notably floating point numbers ), only reducing back to fixed precision at the end.

Quantization converts classical fields into operators acting on quantum states of the field theory.

* Tifft, W. G. Evidence for Quantization and Variable Redshifts in the Cosmic Background Rest Frame.

Quantization also forms the core of essentially all lossy compression algorithms.

George W. Snedecor, the head of Iowa State's Statistics Department, was very likely the first user of an electronic digital computer to solve real world mathematics problems.

Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digital computers which operate in discrete steps and store data in discrete bits.

In electronics, computer science and mathematics, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal.

* For systems using digital signal processing, developers may use a math workbench such as Scilab / Scicos, MATLAB / Simulink, EICASLAB, MathCad, Mathematica, or FlowStone DSP to simulate the mathematics.

NSDL's mission is to provide quality digital learning collections to the science, technology, engineering, and mathematics ( STEM ) education community, both formal and informal, institutional and individual.

In mathematics and electronics engineering, a binary Golay code is a type of error-correcting code used in digital communications.

Applications ( in mathematics ) can be found wherever digit representations are used, e. g. in the analysis of digital quasi-Monte Carlo methods.

It has been argued that digital physics, grounded in the theory of finite state machines and hence discrete mathematics, cannot do justice to a physical theory whose mathematics requires the real numbers, which is the case for all physical theories having any credibility.

At Iowa State, he was an early user of John Vincent Atanasoff's Atanasoff-Berry Computer ( maybe the first user of an electronic digital computer for real world production mathematics problem solutions ).

The university has most notably reputation in industrial engineering, digital media, physics, mathematics, microbiology, geosciences ( particularly marine geosciences ) European law and political science.

His most significant contribution to the world of mathematics and digital signal processing is the Fast Fourier transform, which he co-developed with John Tukey ( see Cooley – Tukey FFT algorithm ) while working for the research division of IBM in 1965.

This makes it unpleasant to deal with in abstract mathematics, but it has an important role to play in digital hardware and algorithms.

" Tegmark goes on to note that although conventional theories in physics are Godel-undecidable, the actual mathematical structure describing our world could still be Godel-complete, and " could in principle contain observers capable of thinking about Godel-incomplete mathematics, just as finite-state digital computers can prove certain theorems about Godel-incomplete formal systems like Peano arithmetic.