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Digital Image Processing with Application to Digital Cinema by KS Thyagarajan

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CHAPTER 2

Two-Dimensional Signals, Systems, and Discrete Fourier Transform

Mathematical preliminaries are unavoidable in any system theory discipline, especially image processing. However, this chapter introduces some basic ideas concerning two-dimensional (2-D) signals and systems, which are useful in the analysis and design of image processing systems, and defers detailed derivations to an appendix. If you are familiar with 2-D signals and systems, you may skip this chapter.

2.1 TWO-DIMENSIONAL DISCRETE SIGNALS

There are a few basic signals that are very useful in the analysis of 2-D discrete systems. Some of these signals parallel those used in one-dimensional (1-D) systems. This section defines a few basic 2-D discrete signals. A 2-D unit ...

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