Wavelet

Standard method of smoothing (amplitude envelope) of continuous wavelet transform

Standard method of smoothing (amplitude envelope) of continuous wavelet transform
  1. What is the difference between CWT and DWT?
  2. How to use CWT in Matlab?
  3. What does a continuous wavelet transform do?
  4. How to use DWT in Matlab?

What is the difference between CWT and DWT?

To summarize: The CWT and the discrete wavelet transforms differ in how they discretize the scale parameter. The CWT typically uses exponential scales with a base smaller than 2, for example 21/12 . The discrete wavelet transform always uses exponential scales with the base equal to 2.

How to use CWT in Matlab?

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 does a continuous wavelet transform do?

In mathematics, the continuous wavelet transform (CWT) is a formal (i.e., non-numerical) tool that provides an overcomplete representation of a signal by letting the translation and scale parameter of the wavelets vary continuously.

How to use DWT in Matlab?

[ cA , cD ] = dwt( x , wname ) returns the single-level discrete wavelet transform (DWT) of the vector x using the wavelet specified by wname . The wavelet must be recognized by wavemngr . dwt returns the approximation coefficients vector cA and detail coefficients vector cD of the DWT.

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