Quantization (signal processing): Difference between revisions

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'''Quantization''', in mathematics and [[digital signal processing]], is the process of mapping input values from a large set (often a continuous set) to output values in a (countable) smaller set, often with a finite [[Cardinality|number of elements]]. [[Rounding]] and [[truncation]] are typical examples of quantization processes. 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 also forms the core of essentially all [[lossy compression]] algorithms.

The difference between an input value and its quantized value (such as [[round-off error]]) is referred to as '''quantization error'''. A device or [[algorithm function|algorithmic function]] that performs quantization is called a '''quantizer'''. An [[analog-to-digital converter]] is an example of a quantizer. One of the most recent quantization example is Quantized Marghany's Front, which is innovated by Distinguished Professor Dr. Maged Marghany and published in Nonlinear Ocean Dynamics: Synthetic Aperture Radar. This book also reveals novel speculation of a shallow coastal front: named as Quantized Marghany's Front.

==Example==

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{{Reflist}}

{{refbegin}}

*{{Citation |last=Sayood |first=Khalid Khalid|year= 2005 |title= Introduction to Data Compression, Third Edition |publisher= Morgan Kaufmann |isbn= 978-0-12-620862-7}}

*{{Citation |last1=Jayant |first1= Nikil S. |last2=Noll |first2=Peter |year= 1984 |title= Digital Coding of Waveforms: Principles and Applications to Speech and Video |publisher= Prentice–Hall |isbn=978-0-13-211913-9}}

*{{Citation |last=Gregg |first= W. David |year= 1977 |title= Analog & Digital Communication |publisher= John Wiley |isbn=978-0-471-32661-8
}}

*{{Citation |last1=MarghanyStein |first1=Maged Seymour|last2=Jones Jones|first2= |pages=450J. Jay |year=2021 1967 |title=Nonlinear OceanModern dynamics:Communication Synthetic aperture radarPrinciples |publisher=Elesiver [[McGraw–Hill]] |isbn=9780128207857978-0-07-061003-3}}

{{refend}}