Wavelet transform boundary

1. What does wavelet transform do?
2. What is the output of wavelet transform?
3. What is wavelet transform coherence?
4. What is border effect in image processing?

What does wavelet transform do?

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 the output of wavelet transform?

The outputs A and D are the reconstruction wavelet coefficients: A: The approximation output, which is the low frequency content of the input signal component. D: The multidimensional output, which gives the details, or the high frequency components, of the input signal at various levels (up to level 6)

What is wavelet transform coherence?

Wavelet transform coherence is used to find transient correlations between signals. The most common use of wavelet coherence is to find correlated areas between signals that are uncorrelated for most of the time. The WTC method provides information on the strength of the relationship as a time frequency map.

What is border effect in image processing?

The discontinuities cause a severe artifact in the Fourier Transform, namely the known cross structure composed of high energy coefficients along the axes. Here, this phenomenon was referred to as effect of image border.