Quantization (signal processing)

Quantization, in mathematics and digital signal processing, is the process of mapping a large set of input values to a (countable) smaller set. 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 algorithmic function that performs quantization is called a quantizer. An analog-to-digital converter is an example of a quantizer.

Basic properties of quantization

Because quantization is a many-to-few mapping, it is an inherently non-linear and irreversible process (i.e., because the same output value is shared by multiple input values, it is impossible in general to recover the exact input value when given only the output value).

Signal processing

Signal processing is an enabling technology that encompasses the fundamental theory, applications, algorithms, and implementations of processing or transferring information contained in many different physical, symbolic, or abstract formats broadly designated as signals. It uses mathematical, statistical, computational, heuristic, and linguistic representations, formalisms, and techniques for representation, modelling, analysis, synthesis, discovery, recovery, sensing, acquisition, extraction, learning, security, or forensics.

History

According to Alan V. Oppenheim and Ronald W. Schafer, the principles of signal processing can be found in the classical numerical analysis techniques of the 17th century. Oppenheim and Schafer further state that the "digitalization" or digital refinement of these techniques can be found in the digital control systems of the 1940s and 1950s.

Application fields of signal processing

Signal (Kanon Wakeshima song)

"Signal" is the fourth single released by Japanese singer and cellist Kanon Wakeshima, and second single from her album, Tsukinami. The song "Signal" was used as the ending of the anime TV series Strike the Blood. The song reached #54 on the Oricon Singles Chart and stayed on the chart for two weeks.

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References

Signal (novel)

Signal is a 2009 children's science fiction novel by Cynthia DeFelice. The book was a Junior Library Guild selection for 2009. The novel is about a boy who is bored with his new life in upstate New York and discovers a girl who claims to be from another planet, who has been kidnapped by an abusive couple, and attempts to make a signal to contact her home planet.

Synopsis

Signal (TV series)

Signal (Hangul: 시그널; RR: Sigeuneol) is a 2016 South Korean television series starring Lee Je-hoon, Kim Hye-soo and Cho Jin-woong. It airs on tvN on Fridays to Saturdays at 08:30 KST for 16 episodes beginning January 22, 2016.

Synopsis

A mysterious walkie talkie allows a rookie detective in the 1980s to communicate with a jaded cold case profiler in 2016; with the power of fore and hindsight the two not only solve crimes but prevent them from ever taking place. However a long standing murder case is closer to home than either realises.

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See also