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Filtering and sampling

This chapter explains how a one dimensional signal is filtered and sampled prior to A-to-D conversion, and how it is reconstructed following D-to-A conversion. In the following chapter, Resampling, interpolation, and decimation, on page 221, I extend these concepts to conversions within the digital domain. In Image digitization and reconstruction, on page 237, I extend these concepts to the two dimensions of an image.

When a one-dimensional signal (such as an audio signal) is digitized, each sample must encapsulate, in a single value, what might have begun as a complex analog waveform during the sample period. When a two-dimensional image is sampled, each sample encapsulates what might have begun as a potentially complex ...

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