WebMay 22, 2024 · The Laplace transform is a generalization of the Continuous-Time Fourier Transform (Section 8.2). It is used because the CTFT does not converge/exist for many important signals, and yet it does for the Laplace-transform (e.g., signals with infinite l 2 norm). It is also used because it is notationaly cleaner than the CTFT. WebThe condition for the existence of the CTFT is derived in Section 5.6, while the relationship between the CTFT and the CTFS for periodic signals is discussed in Sections 5.7 and 5.8. Section 5.9 applies the convolution property of the CTFT to evaluate the output response of an LTIC system to an arbitrary CT input signal.
8.5: Continuous Time Convolution and the CTFT
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