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The wave digital filter approach, introduced in 1986 by G. Fettweis, is a very advantagous approach for realization of digital filters, especially in higher dimensional cases, like image- and video-processing applications. If properly followed, it guarantees a stable system realization and low sensitivity to quantization errors, which is crucial for implementations on fixed point hardware. While these...
Wave Digital Filter (WDF) theory provides an immediate method to derive robust, stable and real-time capable discretizations of one- or multidimensional prototype networks. However, there are realization constraints for certain types of structures, e.g. the presence of multiple nonlinearities, which result in non-computable implicit relations. A common approach to circumvent this restriction is wave-based...
To avoid the occurrence of noncomputable, delay-free loops, classic Wave Digital Filters (WDFs) usually exhibit a tree-like topology. For the realization of prototype circuits that contain ring-like subnetworks, prior approaches require the decomposition of the structure and thus neglect the notion of modularity of the original Wave Digital concept. In this paper, a new modular approach based on Multidimensional...
The implementation of nonlinear elements in Wave Digital Filters (WDFs) is usually restricted to just one nonlinear one-port per structure. Existing approaches that aim to circumvent this restriction have in common that they neglect the notion of modularity and thus the reusability of the original Wave Digital concept. In this paper, a new modular approach to implement an arbitrary number of nonlinearities...
Multidimensional wave digital filters (MDWDF) exhibit the same desirable properties as 1D WDFs, most notably including passivity and therefore guaranteed stability as well as high robustness. A possible application for such MDWDFs may be found in motion analysis of image sequences by means of filters with fan-shaped transfer functions, where content with specific movement information can be extracted...
Tomographical reconstruction algorithms can be applied to camera based mesaurements and thus reconstruct the scenery without knowledge about included objects. The latter is interesting in the domain of driver assistance systems that have to monitor the driveway independently from a priori knowledge about possibly appearing objects. The paper presents tomographical background information, the transfer...
Driver assistance systems support overstrained and affected drivers and become more and more essential for series-production vehicles. Object detection and segmentation is one of the most challenging research topics in this field. In order to warn the driver or automatically break before a potential collision, objects intersecting the path of the host vehicle have to be detected and classified. Most...
Linear multidimensional filter theory provides an elegant way to analyse movement within image sequences, i.e. to separate objects moving in different directions or at different speeds. Due to its time-invariant transfer function a single filter is restricted to specific motions, for which reason a consecutively parameterized filter bank is needed to differentiate a broader set of movement. In this...
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