{"title":"3D wave digital filter implementation on a virtex2 FPGA board with external SDRAM","authors":"Hongwei Li, A. Kummert, S. Schauland, J. Velten","doi":"10.1109/NDS.2009.5191463","DOIUrl":"https://doi.org/10.1109/NDS.2009.5191463","url":null,"abstract":"Many n-D signal processing applications require realization in real time. We propose the realization of a 3-D spatio-temporal wave digital filter (WDF) in an FPGA. Optimization of the implemented hardware architecture includes evaluation of two different kinds of overflow handling, namely by saturation and a “modulo 2” type operation. The FPGA board is processing DVI signals that can be provided by usual PC hardware. The processing output is observed in real time on an LCD monitor.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117305379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A natural transfer function space for linear discrete time-invariant and scale-invariant systems","authors":"D. Alpay, M. Mboup","doi":"10.1109/NDS.2009.5196173","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196173","url":null,"abstract":"In a previous work, we have defined the scale shift for a discrete-time signal and introduced a family of linear scale-invariant systems in connection with characterautomorphic Hardy spaces. In this paper, we prove a Beurling-Lax theorem for such Hardy spaces of order 2. We also study an interpolation problem in these spaces, as a first step towards a finite dimensional implementation of a scale invariant system. Our approach uses a characterization of character-automorphic Hardy spaces of order 2 in terms of classical de Branges Rovnyak spaces.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126985125","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Kalman filtering for 2-D Fornasini-Marchesini models","authors":"Ran Yang, L. Ntogramatzidis, M. Cantoni","doi":"10.1109/NDS.2009.5195928","DOIUrl":"https://doi.org/10.1109/NDS.2009.5195928","url":null,"abstract":"This paper deals with the problem of signal estimation for two-dimensional systems. More specifically, we propose a Kalman filter for 2-D systems in Fornasini-Marchesini model, without pre-imposing its structure. It will be shown that the filter thus obtained is not in a Fornasini-Marchesini form, but it still has a recursive structure.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123980820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Simplified approach to Iterative Learning Control based on strong practical stability of repetitive processes","authors":"P. Dabkowski, K. Gałkowski, E. Rogers","doi":"10.1109/NDS.2009.5196178","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196178","url":null,"abstract":"This paper develops significant new results on the design of Iterative Learning Control (ILC) schemes based on treating the problem within the framework of the stability/ control theory for linear repetitive processes. In particular, so-called strong practical stability is used and it is shown that this can be used to effect in cases where the performance specifications are placed on both error convergence and transient performance.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130176066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A realization framework based on a natural state space description of discrete k-D signal processing systems","authors":"J. Velten, S. Schauland, A. Kummert","doi":"10.1109/NDS.2009.5196177","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196177","url":null,"abstract":"The paper presents a realization framework based on a natural state space description of n-D systems with a focus on design and analysis of discrete domain linear k-D systems. While widely used models satisfy control theoretic needs, the presented description addresses design, analysis, and realization of k-D signal processing systems. It provides a system description that offers better compliance with possible hardware realizations than existing models and thus allows evaluation and consideration of many realization specific effects. Non-causal systems that may be of interest in k-D signal processing can be described as well as shift operations / delays with respect to more than one coordinate direction.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131589276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"2D line filters for vision-based lane detection and tracking","authors":"A. Haselhoff, A. Kummert","doi":"10.1109/NDS.2009.5196176","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196176","url":null,"abstract":"In this work a vision-based lane detection system is presented. The main contribution is the application of 2D line filters for lane detection which suppress noise in the near distance without destroying lines in the fare distance. Line pairs are decided to belong to lane markings by means of parallelism is world coordinates and reasonable constraints concerning the road width. The polygon constructed from the detected lane markings is then tracked over time via a kalman filter. Results of the approach are presented in terms of the detection accuracy on a labeled video sequence.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117013208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fundamentals and application results for multidimensional circuits","authors":"A. Kummert","doi":"10.1109/NDS.2009.5192152","DOIUrl":"https://doi.org/10.1109/NDS.2009.5192152","url":null,"abstract":"Multidimensional circuits represent a highly interesting class of multidimensional (nD) continuous systems and are a generalisation of classical Kirchhoff networks. Research in the field of multidimensional circuit theory has been motivated by a variety of applications in the fields image processing, geophysics, modelling of complex multidimensional systems, and numerical integration of partial differential equations.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124175651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"State feedback for overdetermined 2D systems: pole placement for bundle maps over an algebraic curve","authors":"Liran Shaul, V. Vinnikov","doi":"10.1109/NDS.2009.5191853","DOIUrl":"https://doi.org/10.1109/NDS.2009.5191853","url":null,"abstract":"We discuss state feedback and pole placement for overdetermined 2D systems.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121366743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stability of positive fractional 2D linear systems with delays","authors":"T. Kaczorek","doi":"10.1109/NDS.2009.5196162","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196162","url":null,"abstract":"A new concept of the practical stability of the positive fractional 2D linear systems is proposed. Necessary and sufficient conditions for the practical stability and the asymptotic stability of the positive fractional 2D systems are established. It is shown that the checking of the practical stability and the asymptotic stability of positive fractional 2D linear systems can be reduced to testing the stability of corresponding 1D positive linear systems.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131468365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Iterative Learning Control for wave linear repetitive processes","authors":"B. Cichy, K. Gałkowski, E. Rogers, A. Kummert","doi":"10.1109/NDS.2009.5196180","DOIUrl":"https://doi.org/10.1109/NDS.2009.5196180","url":null,"abstract":"Iterative Learning Control (ILC) is one application area for the class of 2D linear systems known as repetitive processes where recently experimental evidence to support the performance possible by this approach has been reported. In this paper, we extend the ILC approach to the class of 2D linear systems that often arise from discretization of partial differential equations and, in particular, spatio-temporal dynamics. Application of ILC scheme to a system with such dynamics adds, in effect, one extra indeterminate (the trial number) to the process description and results in the need to analyze a 3D system. The results developed in this paper are the first on ILC control law design and the performance possible is illustrated by numerical simulations.","PeriodicalId":299363,"journal":{"name":"2009 International Workshop on Multidimensional (nD) Systems","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129855566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}