We study a nonlinear ltering problem in which the signal to be estimated is conditioned by the Wiener process in the observation equation. The main results establish pathwise uniqueness for the unnormalized lter equation and uniqueness in law for the normalized and unnormalized lter equations. 1 Introduction An early work on uniqueness for the stochastic di erential equations of nonlinear lteri...

Open-access data associated with research efforts depend upon managing, packaging, and preserving for sharing collaborators the public. The U.S. Long-Term Ecological Research (LTER) Network, established in 1980, provides an early example of embedded management supporting long-term, place-based contributes to our understanding enactment open access within scientific arenas. Here, we examine coll...

By employing nonuniform nonunitary lter bank in an image coder increased performance in terms of both theoretical and practical (PSNR) coding gains, and subjective quality can be obtained. One possible candidate is octave-band tree-structured lter banks. In this paper, an optimized perfect reconstruction octave-band three-stage tree-structured lter bank is proposed. The lter coeecients are opti...

The Laplacian-of-Gaussian (LoG) (lter is an optimal edge detector, but it is computationally ine3cient. In this paper, we propose the bilevel Laplacian-of-Gaussian (BLoG) (lter to approximate the LoG (lter. This approximation is formulated as an optimization problem and solved by the gradient descent algorithm. Only two multiplications per pixel are required in convolving with the BLoG (lter. T...

Low power implementation of adaptive lters for channel equalization and interference cancelling is important for wireless communications transceivers. In this paper we obtain asymptotic expressions for the increase in mean square error of the widely used LMS adaptive lter when the total power dissipated is decreased by reducing the number of data and lter coeecient bits used in the lter. We als...

The Kalman lter [1] has long been regarded as the optimal solution to many tracking and data prediction tasks, [2]. Its use in the analysis of visual motion has been documented frequently. The standard Kalman lter derivation is given here as a tutorial exercise in the practical use of some of the statistical techniques outlied in previous sections. The lter is constructed as a mean squared erro...

Many research and monitoring networks in recent decades have provided publicly available data documenting environmental ecological change, but little is known about the status of efforts to synthesize this information across networks. We convened a working group assess ongoing potential cross-network synthesis outline opportunities challenges for future, focusing on US-based network (the US Lon...

Condensation, recently introduced in the computer vision literature, is a particle ltering algorithm which represents a tracked ob-ject's state using an entire probability distribution. Clutter can cause the distribution to split temporarily into multiple peaks, each representing a diierent hypothesis about the object connguration. When measurements become unambiguous again, all but one peak, c...

A cubic polynomial lter is presented for edge preserving noise smoothing. The lter coeecients are adaptable and can be optimized to improve the l-ter result. Experiments show that the image quality achieved with the optimized cubic lter is comparable to that of a more complex rational lter.

H and why is the Long Term Ecological Research (LTER) Network’s approach to ecological studies different from that of other networks? One difference is that each LTER project has the opportunity to choose its own research focus. The result is a wide variety of topics and projects that take advantage of the diverse habitats around the research sites and the diverse scientific skills of the resea...