Recently, a family of perfect reconstruction (PR) quadrature mirror filterbanks (QMF) with finite impulse response filters (FIR) from systems of biorthogonal refinable functions and wavelets were introduced and also applied to image processing. However, a detailed procedure was absent. The main objective of this paper is to present extensive examples that will provide a thorough process of construction of the new family of PR QMF with FIR filterbanks. These new filters are linearphase due to the symmetry property of their corresponding biorthogonal refinable functions and wavelets. In addition, these filters have odd lengths so that the symmetric extension can be easily applied. Another important feature is that the filters preserve energy (EP) very well. The notion of Condition EP was thus introduced for the purpose of further examining these features.
Lian, Jian-ao and Wang, Yonghui
Construction of Energy Preserving QMF,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
1, Article 1.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss1/1