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Notes on Digital Signal Processing: Practical Recipes for Design, Analysis and Implementation by C. Britton Rorabaugh

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Note 52. Decimation: The Fundamentals

This note introduces the fundamental concepts involved in decimation, which is the name given to the process of decreasing a discrete-time signal’s sampling rate while leaving all other characteristics of the signal unchanged to the maximum extent possible.

Decimation is based on the notion that some discrete-time signal of interest exists in a form that is significantly over sampled. There may be some noise and interference throughout the entire bandwidth of ± FS/2 that is supported by the sample rate, FS, but the signal of interest has a spectrum that is confined to a bandwidth much smaller than ± FS/2.

Consider a discrete-time signal having the periodic spectrum shown in Figure 52.1(a). The spectral images ...

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