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Quiz: DSP - Discrete Fourier transform

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Number of Questions: 26

Question: 6 -

Given a signal x[n] = δ[n] + 0.9 δ [n − 6]. The Discrete Time Fourier Transform for 8 points is __________

Options:

  1. 1 + 0.9 ej2πk6/8

  2. 1 +0.9 e−j2πk6/8

  3. 1 – 0.9 ej2πk6/8

  4. 1 – 0.9 e−j2πk6/8

    5. Answer:

    1 +0.9 e−j2πk6/8
    Solution not available.

Question: 7 -

 If x(n) and X(k) are an N-point DFT pair, then X(k+N)=?

Options:

  1. X(k)

  2. None of the mentioned

  3. X(-k)

  4. -X(k)

    5. Answer:

    X(k)
    Solution not available.

Question: 8 -

The DFT is preferred for

1) Its ability to determine the frequency component of the signal
2) Removal of noise
3) Filter design
4) Quantization of signal

Options:

  1. 1 and 3 are correct

  2. 1 and 2 are correct

  3. All the four are correct

  4. 1, 2 and 3 are correct

    5. Answer:

    1 and 3 are correct
    Solution not available.

Question: 9 -

DTFT is the representation of

Options:

  1. Aperiodic continuous signals

  2. Periodic Discrete time signals

  3. Periodic continuous signals

  4. Aperiodic Discrete time signals

    5. Answer:

    Aperiodic Discrete time signals
    Solution not available.

Question: 10 -

What is the highest frequency that is contained in the sampled signal?

Options:

  1. Fs

  2. 2Fs

  3. None of the mentioned

  4.  Fs/2

    5. Answer:

     Fs/2
    Solution:

    After passing the signal through anti-aliasing filter, the filtered signal is sampled at a rate of Fs≥ 2B=>B≤ Fs/2.Thus the maximum frequency of the sampled signal is Fs/2.