Structural Acoustics

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9

Linear Systems Equations

8

9.1 Impulse Response

Consider a system with n inputs and m outputs as shown in Figure9.1. Each

of the inputs and outputs is a function of time. The central problem lies in

trying to determine the outputs or some function of the outputs in terms

of the inputs or some function of them. Let any input x(t) be divided into a

succession of impulses, as shown in Figure9.2. Let h(t – τ) be the response

at time t due to a unit impulse at time τ. A unit impulse is dened as one in

which the area under the input versus time curve is unity. Thus, if the base

is ∆τ, the height of the u ...