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Wavelet transform

In mathematics, a wavelet series is a representation of a square-integrable (real- or complex-valued) function by a certain orthonormal series generated by a wavelet. This article provides a formal, mathematical definition of an orthonormal wavelet and of the integral wavelet transform.

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Overview

Definition

Principle

Wavelet compression

Comparison with Fourier transform and time-frequency analysis

Other practical applications

Advanced semantic analysis

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Map overview Semantic statistics

Wavelet transform

Nodes72
Edges71
Triples59
Avg. degree1.97
Density0.027778
Components1

How this topic connects Entity context

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Wavelet transform

Top relations

has application · 26
Wavelet transform → Applied, As, Back, Daubechies, Discretizing, DW, Fault, FFT, FFTSelection, For, Fourier, Fourier-transformation, Haar Wavelet, Implementation, K-1, Leading, Locally, Mexican, Psi, Scaling
related to Limitations · 10
Wavelet transform → Compressing, Despite, Discrete Cosine Transform-based, ECG, ECGs, For, Fourier-related, However, Vorbis, While
see also · 8
Wavelet transform → Binomial QMF, Biorthogonal, Chirplet, Daubechies, Fourier, IW44, LANL, Los Alamos National Laboratory
related to Method · 4
Wavelet transform → After, First, These, This
related to Principle · 3
Wavelet transform → Based, Changes, The
is a · 1
Wavelet transform → integral transform defined as
related to Synchro-squeezed transform · 1
Wavelet transform → Synchro-squeezed

Important terminology Word statistics

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Important terminology

wavelet displaystyle compression transform frequency signal time image analysis wavelets function system reference basis signals discrete shift impulse fourier orthonormal

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Wavelet transformis aintegral transform defined as0.90text
a drum hit in music or the sharp peaks in a heart rhythminstance ofisolated events0.80text
intra codinginstance ofmodern compression techniques0.80text
motion compensationinstance ofmodern compression techniques0.80text
PSNRinstance ofwhile wavelets might score well on traditional measures0.80text
DCT blocks create a perception of sharpness that wavelets often lackinstance ofwhile wavelets might score well on traditional measures0.80text
requiring higher bitrates to achieve similar subjective qualityinstance ofwhile wavelets might score well on traditional measures0.80text
Wavelet transformhas applicationThe0.60section
Wavelet transformhas applicationFor0.60section
Wavelet transformhas applicationUWB0.60section
Wavelet transformhas applicationDiscretizing0.60section
Wavelet transformhas applicationApplied0.60section

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