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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 32. Designing FIR Filters: Background and Options

The block diagram in Figure 32.1 represents the canonical form for an Mth order finite-impulse response (FIR) digital filter in that the diagram is a direct implementation of the filter’s defining difference equation:

32.1

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Figure 32.1. Block diagram for FIR filter

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Examination of the equation reveals that the filter’s output at time n is simply a weighted sum of the inputs at times nM through n. The notation used in Eq. (32.1) is consistent with the notation used in the difference equation ...

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