Generalized linear-phase paraunitary nonuniform filter bank (GenLPPUNUFB)

In this paper, we present the theory, design and imple-mentation of generalized linear-phase paraunitary nonuni-form filter bank (GenLPPUNUFB). Tree structure of wavelet transform is regarded as nonuniform filter bank (NUFB), and it will be adopted in JPEG2000 which will become the next standard for still image coding. However 2-channel linear-phase paraunitary NUFB (LPPUNUFB) does not exist except for Haar function, so it isn´t optimal in the sense of transform coding gain. Although direct structured LPPUNUFB, which overcomes tree structured LPPUNUFB (Haar function), has already been presented [3], it is not general. Therefore we develop lattice structure of GenLPPUNUFB, and we show some examples and confirm the validity of our method.