a formal, mathematical definition of an orthonormal wavelet and of the integral wavelet transform. A function ψ ∈ L 2 ( R ) {\displaystyle \psi \,\in...

The complex wavelet transform (CWT) is a complex-valued extension to the standard discrete wavelet transform (DWT). It is a two-dimensional wavelet transform...

a discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled. As with other wavelet transforms, a key advantage...

In mathematics, the continuous wavelet transform (CWT) is a formal (i.e., non-numerical) tool that provides an overcomplete representation of a signal...

Spline wavelet Strömberg wavelet Complex Mexican hat wavelet fbsp wavelet Morlet wavelet Shannon wavelet Modified Morlet wavelet Chirplet transform Curvelet...

c_{x}} is the complex wavelet transform of the signal x {\displaystyle x} and c y {\displaystyle c_{y}} is the complex wavelet transform for the signal...

Morlet wavelet (or Gabor wavelet) is a wavelet composed of a complex exponential (carrier) multiplied by a Gaussian window (envelope). This wavelet is closely...

mathematics of signal processing, the harmonic wavelet transform, introduced by David Edward Newland in 1993, is a wavelet-based linear transformation of a given...

In numerical analysis, continuous wavelets are functions used by the continuous wavelet transform. These functions are defined as analytical expressions...

(BQMF) Fast wavelet transform (FWT) Complex wavelet transform Non or undecimated wavelet transform, the downsampling is omitted Newland transform, an orthonormal...

The Daubechies wavelets, based on the work of Ingrid Daubechies, are a family of orthogonal wavelets defining a discrete wavelet transform and characterized...

The fast wavelet transform is a mathematical algorithm designed to turn a waveform or signal in the time domain into a sequence of coefficients based...

of wavelet transform called Complex wavelet transform (CWT) was developed. Similar to the 1-D complex wavelet transform, tensor products of complex wavelets...

"Fast approximate Fourier transform via wavelets transform". In Unser, Michael A.; Aldroubi, Akram; Laine, Andrew F. (eds.). Wavelet Applications in Signal...

(SB-TS), also called wavelet packet decomposition (WPD; sometimes known as just wavelet packets or subband tree), is a wavelet transform where the discrete-time...

wire tag, an animal tagging device Complex wavelet transform, an extension to the standard discrete wavelet transform used in image processing Constant...

mathematics, the complex Mexican hat wavelet is a low-oscillation, complex-valued, wavelet for the continuous wavelet transform. This wavelet is formulated...

mathematics, the Haar wavelet is a sequence of rescaled "square-shaped" functions which together form a wavelet family or basis. Wavelet analysis is similar...

Gabor wavelets are wavelets invented by Dennis Gabor using complex functions constructed to serve as a basis for Fourier transforms in information theory...

function. The output of the transform is a complex-valued function of frequency. The term Fourier transform refers to both this complex-valued function and the...

Fourier transform and very closely related to the complex Morlet wavelet transform. Its design is suited for musical representation. The transform can be...

transforms: Cone-shape distribution function Constant-Q transform Fractional Fourier transform Gabor transform Newland transform S transform Wavelet transform...

The wavelet transform modulus maxima (WTMM) is a method for detecting the fractal dimension of a signal. More than this, the WTMM is capable of partitioning...

wavelet transform, expand the signal in terms of wavelet functions which are localised in both time and frequency. Thus the wavelet transform of a signal...

sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency. The interval at which the DTFT...

Multiresolution Fourier Transform is an integral fourier transform that represents a specific wavelet-like transform with a fully scalable modulated window...

is a generalization of the short-time Fourier transform (STFT), extending the continuous wavelet transform and overcoming some of its disadvantages. For...

different wavelets are known by the name Poisson wavelet. In one context, the term "Poisson wavelet" is used to denote a family of wavelets labeled by...

further details. Gabor filter Gabor wavelet Gabor atom Time-frequency representation S transform Short-time Fourier transform Wigner distribution function E...

In mathematics, Cauchy wavelets are a family of continuous wavelets, used in the continuous wavelet transform. The Cauchy wavelet of order p {\displaystyle...