Digital Signal Processing Mock Test 1

10%

Question 1 of 10

1. What is the zero-input response of the system described by the homogenous second order equation y(n)-3y(n-1)-4y(n-2)=0 if the initial conditions are y(-1)=5 and y(-2)=0?

None of the mentioned

(-1)ⁿ⁺¹ + (4)ⁿ⁺²

(-1)^n-1 + (4)^n-2

(-1)ⁿ⁺¹ + (4)^n-2

Question 1 of 10

Question 2 of 10

2. What is the auto correlation of the sequence x(n)=aⁿu(n), 0<a<l?

\(\frac{1}{1-a^2}\) a^-l (l<0)

\(\frac{1}{1-a^2}\) a^l (l≥0)

\(\frac{1}{1-a^2}\) a^|l|(-∞<l<∞)

All of the mentioned

Question 2 of 10

Question 3 of 10

3. x(n)*δ(n-k)=?

x(k)*δ(k)

x(n)

x(k)

x(k)*δ(n-k)

Question 3 of 10

Question 4 of 10

4. If the system is initially relaxed at time n=0 and memory equals to zero, then the response of such state is called as ____________

Zero-condition response

None of the mentioned

Zero-input response

Zero-state response

Question 4 of 10

Question 5 of 10

5. Which bit coder is required to code a signal with 16 levels?

4 bit

2 bit

8 bit

1 bit

Question 5 of 10

Question 6 of 10

6. Which of the following linear time invariant system is a purely recursive system?

y(n) = \(\sum_{k=1}^{N} a_k y(n-k)+\sum_{k=0}^{M} b_k x(n-k)\)

y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)+\sum_{k=0}^{M} b_k x(n-k)\)

y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)-\sum_{k=0}^{M} b_k x(n-k)\)

y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)+b_0x(n)\)

Question 6 of 10

Question 7 of 10

7. What is the nyquist rate of the signal x(t)=3cos(50*pi*t)+10sin(300*pi*t)-cos(100*pi*t)?

300Hz

50Hz

200Hz

100Hz

Question 7 of 10

Question 8 of 10

8. Which of the following is common independent variable for speech signal, EEG and ECG?

Spatial coordinates

Time

None of the mentioned

Pressure

Question 8 of 10

Question 9 of 10

9. What is the system does the following direct form structure represents?

Purely recursive system

General second order system

None of the mentioned

FIR system

Question 9 of 10

Question 10 of 10

10. If x(n)=(0,1,2,3,3,0,0,0) then x(2n) is?

(0,1,2,3,3,0,0,0)

(0,2,4,6,6,0,0,0)

None of the mentioned

(0,2,3,0,0,0,0,0)

Question 10 of 10