Wavelet

Implementing Wavelet Transform using Equations

Implementing Wavelet Transform using Equations
  1. How does Matlab calculate wavelet transform?
  2. What is the wavelet transform in mathematics?

How does Matlab calculate wavelet transform?

wt = cwt( x , wname ) uses the analytic wavelet specified by wname to compute the CWT. [ wt , f ] = cwt(___, fs ) specifies the sampling frequency, fs , in hertz, and returns the scale-to-frequency conversions f in hertz. If you do not specify a sampling frequency, cwt returns f in cycles per sample.

What is the wavelet transform in mathematics?

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).

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