biorthogonal wavelets

Biorthogonal wavelets are a type of mathematical tool used in signal processing and data analysis that enable efficient representation and compression of complex signals. They use two sets of functions: one for analyzing (breaking down) the signal and another for synthesizing (reconstructing) it. Unlike orthogonal wavelets, which require the same functions for both steps, biorthogonal wavelets allow these functions to differ yet work together perfectly. This flexibility results in better properties like smoother reconstructions and more efficient data encoding, making them valuable in applications like image compression and noise reduction.