Howtosignalprocessing
- What are the properties of discrete wavelet transform?
- What is the difference between continuous wavelet transform and discrete wavelet transform?
- What is the main application of discrete wavelet transform?
- What is wavelet reconstruction?
What are the properties of discrete wavelet transform?
A discrete wavelet transform (DWT) is a transform that decomposes a given signal into a number of sets, where each set is a time series of coefficients describing the time evolution of the signal in the corresponding frequency band.
What is the difference between continuous wavelet transform and discrete wavelet transform?
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.
What is the main application of discrete wavelet transform?
The discrete wavelet transform has a huge number of applications in science, engineering, mathematics and computer science. Most notably, it is used for signal coding, to represent a discrete signal in a more redundant form, often as a preconditioning for data compression.
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.
