Question
What function is performed by a Fast Fourier Transform?
Answer Options
- A) Converting analog signals to digital form
- B) Converting digital signals to analog form
- C) Converting signals from the time domain to the frequency domain
- D) Converting signals from the frequency domain to the time domain
Correct Answer: C
Explanation
The Fast Fourier Transform (\text{FFT}) is a computationally efficient algorithm that implements the Discrete Fourier Transform. It is a cornerstone of Digital Signal Processing (\text{DSP}) and is used to analyze the frequency content of an input signal.
The function performed by an \text{FFT} is converting signals from the time domain to the frequency domain. That is, it takes a sequence of digital data samples representing a signal’s amplitude over time and outputs the magnitude and phase of the individual frequency components that make up that signal. This is how digital receivers analyze signal content and spectrum analyzers display their data.
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