An Example Vector View:

Consider the example two-sample signal graphed in Fig.5.1.

Under the geometric interpretation of a length signal, each sample is a coordinate in the dimensional space. Signals which are only two samples long are not terribly interesting to hear,^5.2 but they are easy to plot geometrically.

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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.