Virtual Labs

Fourier transforms with procedures such as Discrete Fourier Transforms and Fast Fourier Transforms

Fourier Transform helps in analyzing a signal in which domain?

a: Frequency domain Explanation

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b: Spatial domain Explanation

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c: Color domain Explanation

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d: Energy domain Explanation

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The Discrete Fourier Transform is applied to what type of data?

a: Discrete sampled signals Explanation

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b: Continuous analog signals Explanation

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c: Only periodic functions Explanation

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d: Only random signals Explanation

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What is the output of a DFT?

a: A set of frequency components Explanation

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b: A filtered signal Explanation

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c: A compressed version of the signal Explanation

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d: A time-delayed signal Explanation

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What does FFT stand for?

a: Fast Fourier Transform Explanation

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b: Finite Frequency Table Explanation

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c: Filtered Fourier Technique Explanation

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d: Frequency Function Transform Explanation

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Why is FFT preferred over DFT in practical applications?

a: It is faster and computationally efficient Explanation

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b: It is more accurate Explanation

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c: It requires no sampling Explanation

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d: It works only on analog signals Explanation

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Which mathematical function forms the basis of Fourier Transform?

a: Sinusoids Explanation

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b: Polynomials Explanation

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c: Logarithms Explanation

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d: Random variables Explanation

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DFT assumes that the input signal is:

a: Periodic with period N Explanation

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b: Aperiodic Explanation

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c: Always zero-mean Explanation

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d: Always high frequency Explanation

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Which of the following is a key requirement before applying DFT?

a: The signal must be sampled Explanation

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b: The signal must be analog Explanation

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c: The signal must be filtered Explanation

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d: The signal must be noise-free Explanation

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The FFT algorithm is mainly used to:

a: Speed up DFT calculations Explanation

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b: Correct phase distortion Explanation

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c: Remove noise from signals Explanation

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d: Change sampling rate Explanation

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Which domain is most useful for identifying periodic components in a signal?

a: Frequency domain Explanation

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b: Spatial domain Explanation

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c: Time domain Explanation

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d: Amplitude domain Explanation

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