Title :
A family of arbitrary length modulated orthonormal wavelets
Author_Institution :
Dept. of Electron. Eng., City Polytech. of Hong Kong, Kowloon Tong, Hong Kong
Abstract :
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 + β. 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
Keywords :
FIR filters; delay circuits; filtering theory; quadrature mirror filters; wavelet transforms; arbitrary length modulated orthonormal wavelets; filter length; finite impulse response; linear phase prototype filter; modulated filter bank; perfect-reconstruction; power complementary; quadrature mirror filter; regularity conditions; unitary matrices; Cities and towns; Design engineering; Discrete wavelet transforms; Filter bank; Finite impulse response filter; Phase modulation; Prototypes; Signal processing; Signal processing algorithms; Wavelet analysis;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.393771
