Multidimensional systems and multirate sampling
نویسندگان
چکیده
منابع مشابه
Multidimensional Multirate Systems: Characterization, Design, and Applications
Multidimensional multirate systems have been used widely in signal processing, communications, and computer vision. Traditional multidimensional multirate systems are tensor products of one-dimensional systems. While these systems are easy to implement and design, they are inadequate to represent multidimensional signals since they cannot capture the geometric structure. Therefore, “true” multi...
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Multidimensional (MD) multirake systems, which find applications in the coding and compression of image and video data, have recently attracted much attention. The basic building blocks in an MD multirate system itre the decimation matrix M, the expansion matrix L, and MD digital filters. With D denoting the number of dimensions, M :and L are D X D nonsingular integer matrices. When these matri...
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The Euclidean algorithm is a frequently used tool in the analysis of one-dimensional (1D) multirate systems. This tool is however not available for multidimensional (MD) multirate systems. In this paper we discus how Groebner basis techniques can ll this gap. After presenting the relevant facts about Groebner bases, we will show in a few examples how this technique can contribute to MD multirat...
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Super-resolution theory aims to estimate the discrete components lying in a continuous space that constitute a sparse signal with optimal precision. This work investigates the potential of recent super-resolution techniques for spectral estimation in multirate sampling systems. It is shown in the first part of this paper that, under the existence of a common supporting grid, the joint frequency...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 1990
ISSN: 0307-904X
DOI: 10.1016/0307-904x(90)90046-8