Definitions for wavelet
ˈweɪv lɪtwave·let

Princeton's WordNetRate this definition:0.0 / 0 votes

1. ripple, rippling, riffle, waveletnoun

   a small wave on the surface of a liquid

WiktionaryRate this definition:0.0 / 0 votes

1. waveletnoun

   A small wave; a ripple.

2. waveletnoun

   A fast-decaying oscillation.

3. Etymology: Calqued on ondelette, from onde (wave) + -ette (-let)

WikipediaRate this definition:0.0 / 0 votes

1. Wavelet

   A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the number and direction of its pulses. Wavelets are imbued with specific properties that make them useful for signal processing. For example, a wavelet could be created to have a frequency of Middle C and a short duration of roughly one tenth of a second. If this wavelet were to be convolved with a signal created from the recording of a melody, then the resulting signal would be useful for determining when the Middle C note appeared in the song. Mathematically, a wavelet correlates with a signal if a portion of the signal is similar. Correlation is at the core of many practical wavelet applications. As a mathematical tool, wavelets can be used to extract information from many different kinds of data, including – but not limited to – audio signals and images. Sets of wavelets are needed to analyze data fully. "Complementary" wavelets decompose a signal without gaps or overlaps so that the decomposition process is mathematically reversible. Thus, sets of complementary wavelets are useful in wavelet-based compression/decompression algorithms, where it is desirable to recover the original information with minimal loss. In formal terms, this representation is a wavelet series representation of a square-integrable function with respect to either a complete, orthonormal set of basis functions, or an overcomplete set or frame of a vector space, for the Hilbert space of square integrable functions. This is accomplished through coherent states. In classical physics, the diffraction phenomenon is described by the Huygens–Fresnel principle that treats each point in a propagating wavefront as a collection of individual spherical wavelets. The characteristic bending pattern is most pronounced when a wave from a coherent source (such as a laser) encounters a slit/aperture that is comparable in size to its wavelength. This is due to the addition, or interference, of different points on the wavefront (or, equivalently, each wavelet) that travel by paths of different lengths to the registering surface. Multiple, closely spaced openings (e.g., a diffraction grating), can result in a complex pattern of varying intensity.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Waveletnoun

   a little wave; a ripple

WikidataRate this definition:0.0 / 0 votes

1. Wavelet

   A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases, and then decreases back to zero. It can typically be visualized as a "brief oscillation" like one might see recorded by a seismograph or heart monitor. Generally, wavelets are purposefully crafted to have specific properties that make them useful for signal processing. Wavelets can be combined, using a "reverse, shift, multiply and integrate" technique called convolution, with portions of a known signal to extract information from the unknown signal. For example, a wavelet could be created to have a frequency of Middle C and a short duration of roughly a 32nd note. If this wavelet was to be convolved with a signal created from the recording of a song, then the resulting signal would be useful for determining when the Middle C note was being played in the song. Mathematically, the wavelet will resonate if the unknown signal contains information of similar frequency – just as a tuning fork physically resonates with sound waves of its specific tuning frequency. This concept of resonance is at the core of many practical applications of wavelet theory. As a mathematical tool, wavelets can be used to extract information from many different kinds of data, including – but certainly not limited to – audio signals and images. Sets of wavelets are generally needed to analyze data fully. A set of "complementary" wavelets will decompose data without gaps or overlap so that the decomposition process is mathematically reversible. Thus, sets of complementary wavelets are useful in wavelet based compression/decompression algorithms where it is desirable to recover the original information with minimal loss.

Matched Categories

1. • Wave

How to pronounce wavelet?

1. Alex

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   Mark

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How to say wavelet in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of wavelet in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of wavelet in Pythagorean Numerology is: 7

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=wavelet
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Wavelet
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Wavelet
4. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/wavelet
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=wavelet