Virtual Labs

Understand various signal processing tools like Fourier series, Fourier transform, Power spectral density etc. for analyzing the signal

What is the relationship between the bandwidth of a signal and the width of its Fourier Transform?

a: The bandwidth is inversely proportional to the width of the Fourier Transform. Explanation

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b: The bandwidth is directly proportional to the width of the Fourier Transform. Explanation

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c: The bandwidth is unaffected by the Fourier Transform. Explanation

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d: The bandwidth is related to the phase spectrum of the Fourier Transform. Explanation

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What is the Fourier Transform of a triangular pulse?

a: A sinc function. Explanation

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b: A Gaussian function. Explanation

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c: A triangular function. Explanation

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d: A sinc function squared. Explanation

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What is the effect of frequency scaling on the Fourier Transform of a signal?

a: The Fourier Transform is scaled by the same factor. Explanation

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b: The Fourier Transform is scaled by the reciprocal of the scaling factor. Explanation

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c: The Fourier Transform is shifted in frequency by the scaling factor. Explanation

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d: The Fourier Transform is unchanged. Explanation

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What is the Fourier Transform of a signal x(t) sampled at a rate fs?

a: The Fourier Transform is periodic with period fs. Explanation

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b: The Fourier Transform is continuous with no periodicity. Explanation

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c: The Fourier Transform has a frequency shift by fs. Explanation

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d: The Fourier Transform is a sinc function. Explanation

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What happens to the Fourier Transform of a signal when the signal is convolved with a filter in the time domain?

a: The Fourier Transform of the signal is multiplied by the Fourier Transform of the filter. Explanation

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b: The Fourier Transform of the signal is shifted in frequency. Explanation

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c: The Fourier Transform is unaffected by convolution. Explanation

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d: The Fourier Transform of the signal is convolved with the Fourier Transform of the filter. Explanation

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