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Find the continuous Fourier transform of an aperiodic pulse signal given in example 3.5 using the:

a. Laplace transform

b. Z-transform

c. Fourier series

d. Fourier transform

1 Answer

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Final answer:

The question asks for the continuous Fourier transform of an aperiodic pulse signal, which involves transforming a time-domain signal to its frequency-domain counterpart through an integral operation.

Step-by-step explanation:

The question is seeking the continuous Fourier transform of an aperiodic pulse signal. Without the specific form of the pulse signal, a general explanation can be provided. The Fourier transform is a mathematical operation that transforms a time-domain signal into its frequency-domain representation. This is commonly used in engineering and physics to analyze aperiodic or non-repetitive signals. The transformation is represented by the integral:

\( F(\omega) = \int_{-\infty}^{\infty} f(t) e^{-j \omega t} dt \)

where \(F(\omega)\) is the Fourier transform of the function \(f(t)\), \(\omega\) is the angular frequency, and \(e^{-j \omega t}\) is the complex exponential function. To compute the transform, you need to substitute the function of the pulse signal into the integral and solve it.

User Mike Lischke
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