9(t) 86 (4t) The CTFT of g() IS G(f) = A The numerical value of the constant is A=|

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**Transcription for Educational Website**

### Continuous-Time Fourier Transform (CTFT) Example

Consider the function \( g(t) = 8\delta(4t) \).

- The Continuous-Time Fourier Transform (CTFT) of \( g(t) \) is given by:

\[
G(f) = A
\]

- The numerical value of the constant \( A \) is ______.

This example illustrates the CTFT of a scaled delta function. The scaling affects the amplitude of the transform, and understanding how this scaling works is crucial in signal processing.

**Note:** 
- \( \delta(t) \) represents the Dirac delta function, a fundamental concept used to model impulse signals in continuous-time systems.
Transcribed Image Text:**Transcription for Educational Website** ### Continuous-Time Fourier Transform (CTFT) Example Consider the function \( g(t) = 8\delta(4t) \). - The Continuous-Time Fourier Transform (CTFT) of \( g(t) \) is given by: \[ G(f) = A \] - The numerical value of the constant \( A \) is ______. This example illustrates the CTFT of a scaled delta function. The scaling affects the amplitude of the transform, and understanding how this scaling works is crucial in signal processing. **Note:** - \( \delta(t) \) represents the Dirac delta function, a fundamental concept used to model impulse signals in continuous-time systems.
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