Conclusions

This chapter has discussed the concepts of linearity and time-invariance in some detail, with various examples considered. In the rest of this book, all filters discussed will be linear and (at least approximately) time-invariant. For brevity, these will be referred to as LTI filters.

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.