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Introduction

Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 278)

Abstract

Over the past several decades, a considerable interest has been devoted to problems involving signals and systems that depend on more than one variable. 2-D signals and systems have been studied in relation to several modern engineering fields such as process control, multi-dimensional (m-D) digital filtering, image enhancement, image deblurring, signal processing, etc. Among the major results developed so far concerning the 2-D signals and systems, 2-D digital filters are investigated as a description in frequency domain or as a convolution of the input and the unit impulse response. Its great potential for practical applications in the 2-D image and signal processing has been shown [64][65]. On the other hand, a technically very important range of 2-D problems exist which require feedback control [44]. 2-D control has previously been approached from a predominantly systems theoretical point of view. This has two main branches, seen in [60][72], taking an input-output transfer function approach and a state-space approach, respectively. 2-D state-space models, however, have attracted a lot of interest due to its advantage of providing a simple and intuitive research method for 2-D signals and systems. Although it appears something like the one-dimensional (1-D) state space model, there exist some essential differences between them. Therefore, 2-D state-space representations have been extensively studied theoretically and practically.

Keywords

Signal Processing Feedback Control Impulse Response Space Model Engineering Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

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