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CHAP. 51 FOURIER ANALYSIS OF TIME SIGNALS AND SYSTEMS
Table 5-2. Common Fourier Transforms Pairs
sin at
5.5 THE FREQUENCY RESPONSE OF CONTINUOUS-TIME LTI SYSTEMS
A. Frequency Response:
In Sec. 2.2 we showed that the output y(t) of a continuous-time LTI system equals the
convolution of the input x(t) with the impulse response h(t 1; that is,
Applying the convolution property (5.58), we obtain