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Signals and Systems by Smarajit Ghosh

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7.1 CONVOLUTION THEOREM FOR CONTINUOUS SYSTEM

If the impulse response of an analog or continuous time system be h(t), it means that for an input δ (t) its output is h (t). Hence for linear system its output for a shifted impulse δ (tT) is h (tT). The following are the mathematical representation of these operations:

 

δ(t) image h(t)
δ (tT) image h (t – T)
x(t) δ (tT) image x(T)h(tT)

Obviously,      

From last two statements, we can say that for an ...

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