This concludes the discussion of time-domain filter descriptions, including difference equations, signal flow graphs, and impulse response representations. More time-domain forms (alternative digital filter implementations) will be described in Chapter 9.
Time-domain forms are typically used to implement recursive filters in software or hardware, and they generalize readily to nonlinear and/or time-varying cases. For an understanding of the effects of an LTI filter on a sound, however, it is usually more appropriate to consider a frequency-domain picture, to which we now turn in the next chapter.