A family of arbitrary length modulated orthonormal wavelets
Sammy Chan · 1993 IEEE International Symposium on Circuits and Systems · 2002
S. C. Chan and C. W. Kok (1993) established the conditions on the modulation for the modulated filter bank to be perfect-reconstruction (PR) when the linear phase prototype filter is of length 2mM and satisfies the power complementary condition. It was found that the modulation is generated by the class of unitary matrices. It is shown that similar unitary classes of solutions also exist for the case M = 2mM + /spl beta/. This greatly increases the possible choices of modulation and filter length in the design of finite impulse response (FIR) PR quadrature mirror filter (QMF) banks. Moreover, additional regularity conditions are imposed on the filter banks to obtain a unitary class of modulated orthonormal compactly supported wavelets.>