The concepts of wavelet and multiresolution analysis has been extended to many different setups. One can replace the dilation factor 2 by an integer and one needs to construct wavelets to generate the whole space . In general, in higher dimensions, it can be replaced by a dilation matrix , in which case the number of wavelets required is . But in all these cases, the translation set is always a...

A peripheral uniform stimulus on a uniform background tends to fade when a ring enclosing the stimulus is flashed briefly, indicating that neural signals external to the stimulus such as those from the ring or those from the background tend to inhibit the onset-response or after-discharge of the stimulus. In this study, a peripheral achromatic line was flashed briefly on an achromatic backgroun...

In parameterized complexity there are three natural definitions of fixed-parameter tractability called strongly uniform, weakly uniform and nonuniform fpt. Similarly, there are three notions of subexponential time, yielding three flavours of the exponential time hierarchy (ETH) stating that 3Sat is not solvable in subexponential time. It is known that ETH implies that p-Clique is not fixed-para...

In this paper, the theory and design of a class of perfectreconstruction (PR) biorthogonal nonuniform cosine-modulated filter banks (CMFB) is proposed. It is based on a recombination or merging structure previously proposed by the authors [ 13. By relaxing the original CMFB and the recombination transmultiplexer (TMUX) to be biorthogonal. nonuniform CMFBs with lower system delay can be obtained...

Recently it has been shown that principal component filter banks (PCFB) are optimum orthonormal filter banks for subband coding for the uniform case in which all decimation ratios are the same. In this paper we present the analogous results for the nonuniform case. In contrast to the uniform case where there is only one PCFB, there are more than one PCFB’s in the nonuniform case. For a fixed se...