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Two-Dimensional Signal Processing: Discrete Space

August 5, 2019 by

Discrete-Space Image
Portion of a digital camera photo showing discrete pixels. This segment shows distant tree branches against the orange sky at sunset.

Signals and systems are not limited to one-dimensional functions of the independent variable time.   This lesson introduces you to signals that are a function of a two discrete-valued space variables.  We often call such signals "images".  You will learn about the point-spread function, which is the two-dimensional analog of the impulse response for a one-dimensional system.  You will also learn how to perform convolution of a two-dimensional signal with a point-spread function.  These concepts provide a glimpse into the field of image processing and prepare you to extend the concepts you are learning to three and higher dimensional signals.

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