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We will assume that both and exist so that we can discuss measuring them interchangeably. We will further assume that has finite length so that we can measure the response to an input signal in a finite amount of time. The goal of this document is to explain how to excite the system with a signal , measure the response , and use and to determine (and equivalently ). In particular, it is useful to pick a signal that contains a large amount of energy so that measurement noise will not significantly corrupt the measurement results.

Download imp_meas.pdf

REALSIMPLE Project — work supported by the Wallenberg Global Learning Network .

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University