In this paper, we first present an alternative way of generating oversampled linear phase perfect reconstruction filter banks (OSLPPRFB). We show that this method provides the minimal factorization of a subset of existing OSLPPRFB. The combination of the new structure and the conventional one leads to efficient implementations of a general class of OSLPPRFB. Possible application of the new sche...

We are interested in the asymptotic behaviour of a diffusion process with drifted Brownian potential. The model is a continuous time analogue to the random walk in random environment studied in the classical paper of Kesten, Kozlov, and Spitzer. We not only recover the convergence of the diffusion process which was previously established by Kawazu and Tanaka, but also obtain all the possible co...

a simple mathematical model of steady state  oxygen distribution subject to diffusive transport and non- linear uptake in a retinal cylinder has been developed. the approximate analytical solution to a reaction- diffusion equation are obtained by using series expansions. the computational results for the scaled variables are presented through graphs. the effect of the important parameters (1) d...

We consider multiscale stochastic systems that are partially observed at discrete points of the slow time scale. We introduce a particle filter that takes advantage of the multiscale structure of the system to efficiently approximate the optimal filter.

One of the efficient and most popular technique for designing sharp 1-D linear phase FIR filters is the Frequency Response Masking (FRM) approach. It is an effective method for the design of high speed , low power, sharp FIR digital filters with a small number of non-zero coefficients. Very recently, a modified McClellan transformation(T1 and T2) is proposed (JieCherng Liu and Yang-Lung Tai, 20...

The sensitivity of human ear is dependent on frequency which is nonlinearly resolved across the audio spectrum .Now to improve the recognition performance in a similar non linear approach requires a front end design, suggested by empirical evidences. A popular alternative to linear prediction based analysis is therefore filter bank analysis since this provides a much more straightforward route ...

This paper deals with the design of piecewise linear H∞ filters for discrete-time piecewise linear systems. Both the system and filter have structures that change according to their switching rules. The system switching rule is characterized in terms of a given partition of the system state-space. The filter switching rule is also characterized in terms of a suitable filter state-space partitio...

the radar tracking is one of the best leo satellite tracking methods. while the tracking filters which are mostly linear, and them are not able to have a precise estimation of the objects with nonlinear motion dynamic such as satellite, we should use nonlinear filters. in this paper , firstly, we deal with the problem of the leo satellites motion path modeling according to the satellite motion ...

In this paper, we present a new structure for linear−phase filter banks without redundancy, which have unequal−length filters at each subband. First, we extend the simplified lattice structure of the linear−phase filter bank to the unequal−length linear−phase paraunitary filter bank. In general, the unequal−length linear−phase paraunitary filter bank has equal−length filters at both the analysi...