 ##  [Wavelet Transform](/wavelet-transform) 

  ##  [Wavelet Transform](https://natural.quantumdictionary.io/wavelet-transform-0) 

  
 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)


**Natural &amp; Formal Sciences Dictionary**

 
Definition

A representation of a function or signal by coefficients obtained from inner products with a family of localized, dilated and translated basis functions (wavelets), encoding both scale and location information.

 
 ##  [Wavelet Transform](https://mathlogic.quantumdictionary.io/wavelet-transform-1) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A multiresolution linear transform that represents signals or functions by superposing localized basis functions (wavelets) obtained from dilations (scales) and translations of a mother wavelet; provides time-frequency localization and sparse representation for multiscale phenomena.

 
 ##  [Wavelet Transform](https://puremath.quantumdictionary.io/wavelet-transform-2) 

  
 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A time–frequency transform that represents functions or signals using translates and dilates of a mother wavelet, providing localized analysis in both time and scale (frequency) and producing continuous or discrete coefficient sets depending on sampling.