Reconstruct a signal via continuous wavelet transform (CWT)

1. How to use CWT in Matlab?
2. What does a continuous wavelet transform do?
3. How do you wavelet transform into a signal?
4. What is wavelet reconstruction?

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 do you wavelet transform into a signal?

There are the two ways the wavelets are manipulated. The transform of the entire signal is done by translating the wavelet to the next instance of time called as translation. If the signal is of different frequency the mother wavelet is expanded or contracted. This method is called as dilation.

What is wavelet reconstruction?

Where wavelet analysis involves filtering and downsampling, the wavelet reconstruction process consists of upsampling and filtering. Upsampling is the process of lengthening a signal component by inserting zeros between samples.