a signal processing method

Wavelet transform, a signal processing method, is good for feature extraction and dimensionality reduction, and could be an interesting addition to the analysis of smart meter data but was not encountered in any of the papers.

a mathematical tool

The wavelet transform is a mathematical tool that can be used to describe images in multiple resolutions.

a mathematical tool that indicates time variations of frequency in a signal

On the other hand, wavelet transform is a mathematical tool that indicates time variations of frequency in a signal.

a method for decomposing data into different frequency components

Wavelet transformation is a method for decomposing data into different frequency components.

a modern tool for signal processing

A wavelet transform (WT) is a modern tool for signal processing.

decomposes

The wavelet transform decomposes a time series to give a lower resolution approximation together with different levels of detail that need to be added to the approximation to restore the original time series.

an efficient method of time-frequency analysis

In contrast, wavelet transform is an efficient method of time-frequency analysis.

powerful method that can flexibly represent the time-frequency content of a signal

Wavelet transform is a powerful method that can flexibly represent the time-frequency content of a signal.

— image analysis, data compression

Wavelet transform — image analysis, data compression.

that cuts up signal or functions into different frequency components

The wavelet transform is a powerful tool that cuts up signal or functions into different frequency components, and then studies each component with a resolution matched to a resolution's scale.

windowed Fourier transform

Wavelet transform is somewhat similar to the windowed Fourier transform, but the differrence lies in the fact that the windowed Fourier transform simply modulates the trigonometric function of different frequency in same scale, but the wavelet takes into account the different scale.

an effective method for removal of noise from image

Wavelet transform is an effective method for removal of noise from image.

a popular method in numerical analysis and functional analysis

Wavelet transformation is a popular method in numerical analysis and functional analysis, which captures both frequency and location information.

a process of signaling that produces the signal of various frequency sub bands

A wavelet transformation is a process of signaling that produces the signal of various frequency sub bands.

decompositions of arbitrary signals into localized contributions labelled by a scale parameter

Wavelet transforms are decompositions of arbitrary signals into localized contributions labelled by a scale parameter.

decomposes thermal images

Wavelet transform decomposes thermal images, obtained by thermal imaging processes, into bands of different frequencies.

an excellent alternative to Fourier

Wavelet transforms are an excellent alternative to Fourier transforms in many situations.

transform for classification of both spectral and spatial features

Wavelet transform is the most preferred transform for classification of both spectral and spatial features.

image fusion method

Wavelet transform is the most commonly used image fusion method, which fuses the source images' information in wavelet domain according to some fusion rules.

a transform in which Wavelet transform is capable of providing the time and frequency information simultaneously, hence providing us a time-frequency representation of the signal

Wavelet transform is a transform in which Wavelet transform is capable of providing the time and frequency information simultaneously, hence providing us a time-frequency representation of the signal.