Howtosignalprocessing
Yes indeed! In theory as long as the wavelet is orthogonal, the sum of the squares of all the coefficients should be equal to the energy of the signal.
- How many types of wavelets exist?
- What is the disadvantage of wavelet transform?
- What is parseval's theorem in DFT?
- What does parseval's theorem tell us?
How many types of wavelets exist?
There are two types of wavelet transforms: the continuous wavelet transform (CWT) and the discrete wavelet transform (DWT). Specifically, the DWT provides an efficient tool for signal coding.
What is the disadvantage of wavelet transform?
Although the discrete wavelet transform (DWT) is a powerful tool for signal and image processing, it has three serious disadvantages: shift sensitivity, poor directionality, and lack of phase information.
What is parseval's theorem in DFT?
Parseval's theorem states that the energy of a signal is preserved by the discrete Fourier transform (DFT). Parseval's formula shows that there is a nonlinear invariant function for the DFT, so the total energy of a signal can be computed from the signal or its DFT using the same nonlinear function.
What does parseval's theorem tell us?
Parseval's Theorem states that the total energy computed in the time domain must equal the total energy computed in the frequency domain. It is a statement of conservation of energy.
