Digital Signal Processing Gate Questions | Digital Signal Processing MCQs

(1) If the output of the system of the system at any ‘n’ depends only the present or the past values of the inputs then the system is said to be __________

[A] Linear

[B] Non-Linear

[C] Causal

[D] Non-causal

Answer: Causal

(2) The system described by the input-output equations y(n)=x(-n) is a causal system.

[A] True

[B] False

Answer: False

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(3) If a system do not have a bounded output for bounded input, then the system is said to be __________

[A] Causal

[B] Non-causal

[C] Stable

[D] Non-stable

Answer: Non-stable

(4) Which of the following parameters are required to calculate the correlation between the signals x(n) and y(n)?

[A] Time delay

[B] Attenuation factor

[C] Noise signal

[D] All of the mentioned

Answer: All of the mentioned

(5) What is the cross correlation sequence of the following sequences?

x(n)={….0,0,2,-1,3,7,1,2,-3,0,0….}

y(n)={….0,0,1,-1,2,-2,4,1,-2,5,0,0….}

[A] {10,9,19,36,-14,33,0,7,13,-18,16,7,5,-3}

[B] {10,-9,19,36,-14,33,0,7,13,-18,16,-7,5,-3}

[C] {10,9,19,36,14,33,0,-7,13,-18,16,-7,5,-3}

[D] {10,-9,19,36,-14,33,0,-7,13,18,16,7,5,-3}

Answer: {10,-9,19,36,-14,33,0,7,13,-18,16,-7,5,-3}

(6) Which of the following is the auto correlation of x(n)?

[A] r_xy(l)=x(l)*x(-l)

[B] r_xy(l)=x(l)*x(l)

[C] r_xy(l)=x(l)+x(-l)

[D] None of the mentioned

Answer: r_xy(l)=x(l)*x(-l)

(7) What is the energy sequence of the signal ax(n)+by(n-l) in terms of cross correlation and auto correlation sequences?

[A] a²r_xx(0)+b²r_yy(0)+2abr_xy(0)

[B] a²r_xx(0)+b²r_yy(0)-2abr_xy(0)

[C] a²r_xx(0)+b²r_yy(0)+2abr_xy(1)

[D] a²r_xx(0)+b²r_yy(0)-2abr_xy(1)

Answer: a²r_xx(0)+b²r_yy(0)+2abr_xy(1)

(8) Which of the following relation is true?

[A] r_yx(l)=h(l)*r_yy(l)

[B] r_xy(l)=h(l)*r_xx(l)

[C] r_yx(l)=h(l)*r_xx(l)

[D] none of the mentioned

Answer: r_yx(l)=h(l)*r_xx(l)

(9) If x(n) is the input signal of a system with impulse response h(n) and y(n) is the output signal, then the auto correlation of the signal y(n) is?

[A] r_xx(l)*r_hh(l)

[B] r_hh(l)*r_xx(l)

[C] r_xy(l)*r_hh(l)

[D] r_yx(l)*r_hh(l)

Answer: r_hh(l)*r_xx(l)

(10) Which of the following should be done in order to convert a continuous-time signal to a discrete-time signal?

[A] Sampling

[B] Differentiating

[C] Integrating

[D] None of the mentioned

Answer: Sampling

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