3.5

Digital signal processing

3.5.1 Digital filters

If a continuous signal y(t) is sampled N times at equal time intervals Δt, then the resulting digitised signal includes the information of interest plus any noise that might have been present in the original signal.

The purpose of a digital filter is to take this set if data, perform mathematical operations on it, and produce another set of data possessing certain desirable properties (such as reduced noise).

Digital filters fall into two basic categories: Infinite Impulse Response (IIR) or Finite Impulse Response (FIR). These terms describe the time domain characteristics of the filter when presented with an impulse signal as an input.

There are two approaches to digital filtering. The ...

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