Free Printable DSP-1

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.

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

4.

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

a)

True

b)

False

5.

$y\left(n\right)=x\left(n\right)+\frac{1}{x\left(n-1\right)}$

Check whether the DT system is linear or not?

a)

Linear system

b)

Non Linear system

6.

$y\left(n\right)=x^2\left(n\right)$

Check the linearity and causality of the given DT system.

a)

Linear & Causal

b)

Non Linear & Causal

c)

Non Linear & Non Causal

d)

Linear & Non Causal

7.

$y\left(n\right)=x\left(n\right)+\frac{1}{x\left(n-1\right)}$

Check whether the DT system is causal or not?

a)

Causal system

b)

Non Causal system

8.

$y\left(n\right)=x\left(n\right)+\frac{1}{x\left(n+1\right)}$

Check whether the DT system is causal or not?

a)

Causal system

b)

Non Causal system

9.

$y\left(n\right)=x\left(n\right)+x\left(n-1\right)$

Check whether the given system is Time Invariant or Variant?

a)

Time Invariant

b)

Time variant

10.

$y\left(n\right)=x\left(-n-1\right)$

Check whether the given system is Time Invariant or Variant?

a)

Time Invariant

b)

Time variant

11.

In Z-Transform, z =

a)

$re^{-jw}$

b)

$re^{-w}$

c)

$re^{jw}$

d)

$re^w$

12.

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

13.

Nyquist rate is

a)

$f_s<2f_m$

b)

$f_s=f_m$

c)

$f_s=2f_m$

d)

$f_s<f_m$

14.

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

a)

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

b)

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

c)

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

d)

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

15.

a)

I & II

b)

II & III

c)

I & III

d)

III only

16.

a)

a

b)

b

c)

c

d)

d

17.

a)

a

b)

b

c)

c

d)

d

18.

x(n)=[1, 3, 3, 1], h(n)=[1, 5, 5, 1]

perform convolution between x(n) and h(n)

a)

[1, 8, 23, 32, 23, 8, 1 ]

b)

[1, 8, 32, 23, 32, 8, 1]

c)

[8, 1, 32, 32, 32, 1, 8]

d)

[8, 1, 23, 23, 23, 1, 8]

19.

x(n)=[1, 3, 3, 1], h(n)=[1, 5, 5, 1]

perform 4- circular convolution between x(n) and h(n)

a)

[24, 16, 24, 32]

b)

[12, 36, 36, 12]

c)

[24, 24, 16, 32]

d)

[24, 32, 24, 16]

20.

x(n)=[1, 3, 3, 1]

Evaluate 4-DFT of x(n) using FFT

a)

[8, -2+2j, 0, -2-2j]

b)

[8, -2-2j, 0, -2+2j]

c)

[8, 2-2j, 0, 2+2j]

d)

[8, 2+2j, 0, 2-2j]

21.

N-DFT of x(n) =

a)

$\sum_{n=0}^{N-1}x\left(n\right)\ e^{-j\ \frac{2\pi}{N}kn}$

b)

$\sum_{n=0}^Nx\left(n\right)\ e^{-j\ \frac{2\pi}{N}kn}$

c)

$\sum_{n=0}^{N-1}x\left(n\right)\ e^{j\ \frac{2\pi}{N}kn}$

d)

$\sum_{n=0}^{N-1}x\left(n\right)\ e^{-j\ 2\pi kn}$

22.

$W_N=?$

a)

$e^{-\frac{j2\pi}{N}k}$

b)

$e^{j2\pi N}$

c)

$e^{\frac{j2\pi}{N}}$

d)

$e^{-\frac{j2\pi}{N}}$

23.

$W_8^2=?$

a)

$j$

b)

$-j$

c)

$-j^2$

d)

$j^2$

24.

Computation of N-DFT of a sequence requires______ complex multiplications

a)

$N$

b)

$4N^2$

c)

$N^2$

d)

$N-1$

25.

Computation of N-DFT of a sequence requires______ complex additions

a)

$\left(N-1\right)^2$

b)

$4N^{ }$

c)

$N^{ }-1$

d)

$N\left(N-1\right)$

DSP-1

Total questions: 25

Worksheet time: 50mins

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