Orthogonal wavelet transform

1. What is orthogonal wavelet transform?
2. What is the difference between orthogonal and biorthogonal wavelet transform?
3. Is haar wavelet orthogonal?
4. What is wavelet transform and its types?

What is orthogonal wavelet transform?

An orthogonal wavelet is a wavelet whose associated wavelet transform is orthogonal. That is, the inverse wavelet transform is the adjoint of the wavelet transform. If this condition is weakened one may end up with biorthogonal wavelets.

What is the difference between orthogonal and biorthogonal wavelet transform?

Orthogonal wavelet filter banks generate a single scaling function and wavelet, whereas biorthogonal wavelet filters generate one scaling function and wavelet for decomposition, and another pair for reconstruction.

Is haar wavelet orthogonal?

The Haar system is an orthonormal basis for L2 (R).

What is wavelet transform and its types?

Wavelet transforms can be classified into two broad classes: the continuous wavelet transform (CWT) and the discrete wavelet transform (DWT). The continuous wavelet transform is a time-frequency transform, which is ideal for analysis of non-stationary signals.