Free Printable Digital signal processing

1.

$\int_{-\infty}^{\infty}2t^3\delta\left(t-1\right)=$

a)

2

b)

3

c)

0

d)

1

2.

$\int_2^52t^3\delta\left(t-1\right)=$

a)

2

b)

3

c)

0

d)

1

3.

For the signal u(t) , Energy(E) & Power (P) is

a)

E=0, P=1

b)

E=∞, P=1/2

c)

E=1/2, P=∞

d)

E=1, P=0

4.

Which of the following impulse response h(n) represents a stable LTI system

a)

$2^nu(n)$

b)

$0.2^nu(n)$

c)

$2^nu(n-1)$

d)

Both A & C

5.

y(t) +3=x(t) is a linear system

a)

True

b)

False

6.

$F\left\{\sum_{n=-\infty}^{\infty}δ(t-nT)\right\}=$

a)

$w_o\sum_{n=-\infty}^{\infty}δ\left(w-nw_o\right)\$

b)

$\sum_{n=-\infty}^{\infty}δ\left(w-nw_o\right)$

c)

$w_o\sum_{n=-\infty}^{\infty}δ\left(nw_o\right)$

d)

$w_o\sum_{n=-\infty}^{\infty}δ\left(w\right)$

7.

In Z-Transform, z =

a)

$re^{-jw}$

b)

$re^{-w}$

c)

$re^{jw}$

d)

$re^w$

8.

Let $Z\left\{x\left(n\right)\right\}=X\left(Z\right)$ and its ROC includes the unit circle in z-plane, then DTFT exists for given x(n).

a)

True

b)

false

9.

Nyquist rate is

a)

$f_s<2f_m$

b)

$f_s=f_m$

c)

$f_s=2f_m$

d)

$f_s<f_m$

10.

$DTFT\left\{x\left(n\right)\right\}=Z\left\{x\left(n\right)\right\}\ ,\ when\ \ r=$

a)

0

b)

z

c)

1

d)

$\infty$

11.

$Z\left\{u(n)\right\}=$

a)

$\frac{z}{z-1};z<1$

b)

$\frac{z}{z-1};z<-1$

c)

$\frac{z}{z-1};z>1$

d)

$\frac{z}{z-1};z=1$

12.

The only signal whose ROC is entire z-plane is

a)

$u\left(n\right)$

b)

$\delta\left(n\right)$

c)

$\delta\left(n-1\right)$

d)

$\delta\left(n+1\right)$

13.

If all the poles of H(z) are outside the unit circle, then the system is said to be

a)

Only causal

b)

Only BIBO stable

c)

BIBO stable and causal

d)

neither causal nor BIBO stable

14.

Which of the following is the correct Euler's expression?

a)

$e^{-2jωt}=\cos2ωt+2j\sinωt$

b)

$e^{-2jωt}=\cos2ωt-2j\sinωt$

c)

$e^{-2jωt}=-\cos2ωt-2j\sinωt$

d)

$e^{2jωt}=\cos2ωt-2j\sinωt$

15.

Choose the correct option for given statement.

a)

a

b)

b

c)

c

d)

d

16.

Choose correct answer

a)

I & II

b)

II & III

c)

I & III

d)

III only

17.

A discrete signal x[n]=7cos(3πn/8) is converted in to analog signal with
sampling frequency F_s=10 kHz.
Determine the analog frequency of the signal.

a)

625 Hz

b)

2.5 kHz

c)

1.125 kHz

d)

1875Hz

18.

a)

a

b)

b

c)

c

d)

d

19.

Consider an analog signal xa(t) = 5 sin (420πt) + 8 cos (840πt) .

Determine the discrete-time signal after sampling the signal with sampling frequency f_s = 1260 Hz

a)

x[n] = 5 sin (2π/3)n + 8 cos(7π/3)n

b)

x[n] = 5 sin (π/3)n + 8 cos(2π/3)n

c)

x[n] = 5 sin (5π/3)n + 8 cos(2π/5)n

d)

x[n] = 5 sin (π/3)n − 8 cos(2π/3)n

20.

choose the correcr option

a)

a

b)

b

c)

c

d)

d

Digital signal processing_1

Total questions: 20

Worksheet time: 20mins

Similar Resources on Wayground