Abstract
This paper presents a survey of recent research in multi-dimensional signal processing. As a means of illustrating the fundamental principals, the presentation focuses on two-dimensional (2-D) results. A tutorial section in the paper addresses the basic subjects of 2-D systems representations (convolution and difference equations), 2-D Z-transforms, stability theorems/tests, and modeling. Both deterministic and random formalisms are described. To give some flavor for on-going research in this field, two new results are also described. The first deals with the extension of Wiener’s realizable filtering technique to 2-D and the second with the concept of autoregressive models of 2-D random fields.
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© 1981 D. Reidel Publishing Company
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Ekstrom, M.P., Marzetta, T.L. (1981). Fundamentals of Multidimensional Time-Series Analysis. In: Husebye, E.S., Mykkeltveit, S. (eds) Identification of Seismic Sources — Earthquake or Underground Explosion. NATO Advanced Study Institutes Series, vol 74. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8531-5_35
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DOI: https://doi.org/10.1007/978-94-009-8531-5_35
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