Wavelet

Wavelet transform lecture notes

Wavelet transform lecture notes
  1. What is wavelet transform simple explanation?
  2. What is wavelet transform used for?
  3. Is wavelet transform a convolution?
  4. What is wavelet transform coding?

What is wavelet transform simple explanation?

The wavelet transform is a mathematical technique which can decompose a signal into multiple lower resolution levels by controlling the scaling and shifting factors of a single wavelet function (mother wavelet) (Foufoula-Georgiou and Kumar, 1995; Lau and Weng, 1995; Torrence and Compo, 1998; Percival and Walden, 2000).

What is wavelet transform used for?

The key advantage of the Wavelet Transform compared to the Fourier Transform is the ability to extract both local spectral and temporal information. A practical application of the Wavelet Transform is analyzing ECG signals which contain periodic transient signals of interest.

Is wavelet transform a convolution?

A wavelet transform is essentially a convolution with a bunch of functions chosen to be “compact” in frequency and time. Here compact means that the functions are nonzero only over a limited range of frequency and time.

What is wavelet transform coding?

Wavelet coding or compression is a form of data compression well suited for image compression (sometimes also video compression and audio compression). Wavelet compression can be either perfect (lossless) or lossy, where a certain loss of quality is accepted.

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