FIR impulse response

The impulse response is obtained at the output when the input signal is the impulse signal (§5.6). If the th tap is denoted , then it is obvious from Fig.5.5 that the impulse response signal is given by

In other words, the impulse response simply consists of the tap coefficients, prepended and appended by zeros.

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About the Author: 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.