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One of a collection of mathematical functions that serve as the elementary building blocks of a mathematical tool for analyzing and synthesizing functions, and for forming representations of signals in both time and frequency.


A small shock wave, usually present in large numbers in boundary layers and around the surface of a supersonic body. Also called a Mach wave or a Mach wavelet


A waveform that is bounded in both frequency and duration. Wavelet tranforms provide an alternative to more traditional Fourier transforms used for analysing waveforms, e.g. sound.

The Fourier transform converts a signal into a continuous series of sine waves, each of which is of constant frequency and amplitude and of infinite duration. In contrast, most real-world signals (such as music or images) have a finite duration and abrupt changes in frequency.

Wavelet transforms convert a signal into a series of wavelets. In theory, signals processed by the wavelet transform can be stored more efficiently than ones processed by Fourier transform. Wavelets can also be constructed with rough edges, to better approximate real-world signals.

For example, the United States Federal Bureau of Investigation found that Fourier transforms proved inefficient for approximating the whorls of fingerprints but a wavelet transform resulted in crisper reconstructed images.

SBG Austria.

["Ten Lectures on Wavelets", Ingrid Daubechies].
References in periodicals archive ?
However, the intra scale and inter scale correlations of the wavelet coefficients have not been fully explored.
Wavelet transformation is the difficulty of digital image processing field and also one of the hotspot of current research.
The wavelet analysis involves transformation of a data series with a wavelet, a localized wave.
This study presents a wavelet-transform-based method and wavelet domain ground roll analysis (WDGA) technique for seismic ground roll reduction.
In this paper, we study the energy of a stochastic vibration system of a class of protein through wavelet alternation.
It turns out that the prediction rule has to be greatly modified so that the redundancy between wavelet coefficients can be effectively removed.
Abstract: The following article describes the wavelet transform comparing the selected types with regard to its speed The four types selected include two types of the continuous and two types of the discrete wavelet transform.
Wavelet subdivision methods; GEMS for rendering curves and surfaces.
David Baqaee's paper develops a wavelet measure of core inflation for New Zealand.
2) Wavelet OFDM methodology for low power (550mW in full operation)
But up to now, the discussion of the wavelet estimators in the semi-parametric regression model, whose errors are a stationary [rho]-mixing sequence, has been scarcely seen.

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