December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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3.8 SYSTEM ANALYSIS USING FOURIER TRANSFORM
Figure 3.29 shows a system having impulse response. The system function H(ω) of the system is the Fourier transform of h(t).
Fig. 3.29 Impulse response
In Fig. 3.29, the input is x(t) and its output y(t) can be obtained by convolving x(t) with h(t).
We can write Y(ω) = X(ω) * H(ω)
i.e., y(t) = F−1[X(ω) * H(ω)]
where X(ω) is the Fourier transform of x(t), Y(ω) is the Fourier transform of y(t) and H(ω) is the system function.
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