Translations:Digital filtering/16/en

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What is a series connection? If we connect two unit-delay filters in series, we have the situation shown in Figure 3a. By a series connection, we mean that the output from filter 1 is the input to filter 2. We see that the resulting overall filter is causal because its output at time n depends only on the input at time n – 2. Now, filter 1 produces a unit delay, so its output is . Next we use the fact that the input to filter 2 is the output from filter 1, so the input to filter 2 is . Because filter 2 produces a unit delay, its output is .