In my studies of wavelets, there appear to be 3 different families of them:
- The Continuous wavelet transform
- The Discrete wavelet transform
- The Redundant wavelet transform
They are all based on the same concept, but vary in how they are shifted/scaled, and/or decimated or not at every scale level.
My question is, where does each type find utility? For example, why would I want to use the Redundant Wavelet Transform over the Discrete Wavelet Transform, over the Continuous wavelet Transform in a particular application?
What advantages/disadvantages does one type of transform have over another, as far as its applicability is concerned?