Example Analog Filter

Figure E.1 shows a simple analog filter consisting of one resistor ( Ohms) and one capacitor ( Farads). The voltages across these elements are and , respectively, where denotes time in seconds. The filter input is the externally applied voltage , and the filter output is taken to be . By Kirchoff's loop constraints [20], we have

and the loop current is .

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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.