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DSP Event

Total questions: 15

Worksheet time: 40mins

Name
Class
Date
1.

The RMS value of the periodic waveform e(t), shown in figure is

a)

sq.root(3/2) A

b)

sq.root(1/3) A

c)

sq.root(2/3) A

d)

sq.root(2) A

2.

Z.T of a signal is given as

X(z)=1/(1- ⅓z-1).

If the system is unstable, then x[0] is

a)

1/3

b)

0

c)

1

d)

-1/3

3.

Let x(t) be the input to a LTI system of impulse response h(t). If x(t) & h(t) are as shown in figure. then y(t) is

a)

tu(t)-(t-1)u(t-1)+(t-2)u(t-2)-(t-3)u(t-3)

b)

tu(t)-2(t-2)u(t-2)+(t-3)u(t-3)

c)

tu(t)+(t-1)u(t-1)

d)

tu(t)-(t-1)u(t-1)-(t-2)u(t-2)+(t-3)u(t-3)

4.

The sequence 2n u[n] and (-2n u[-n-1])

a)

are both casual sequences

b)

have same Z- transform

c)

have same ROC

d)

Don't take values other than 0,1 &2

5.

Find out the LT of the signal f(t) shown in figure.

a)

1/s(1+e-s+e-2s)

b)

1/s(1+e-s+e-2s-3e-3s)

c)

1/s(1-e-s-e-2s+3e-3s)

d)

None of the above

6.

If L{f(t)}=F(s), then L{sinh at f(t)}=

a)

F(s+a)+F(s-a)

b)

½[F(s+a)-F(s-a)]

c)

F(s+a)-F(s-a)

d)

½[F(s-a)-F(s+a)]

7.

Is X(t)= u(t) is a energy signal or power signal?

a)

energy signal

b)

power signal

8.

Consider two signals x(t) and h(t). is impulse If h(t) is impulse response of a LTI system and x(t) is input to the system, then y(t) is

a)
b)
c)
d)

None of the above

9.

DFT is applied to

a)

Infinite sequence

b)

Finite discrete sequence

c)

continuous infinite signals

d)

continuous finite sequences

10.

Calculate DFT of x (n) = {1, 0, 1, 0}.

a)

x (k) = {2, 0, 2, 0}

b)

x (k) = {1, 0, 1, 0}

c)

x (k) = {2, 0, 1, 0}

d)

none

11.

Truncation or rounding of the data results in

a)

degradation of system performance

b)

increase system performance

c)

grow power

d)

none

12.

Which of the following best defines Nyquist frequency?

a)

The frequency of resonance for the filtering circuit

b)

The second harmonic

c)

The lower frequency limit of sampling

d)

The highest frequency component of a given analog signal

13.

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

a)

50 Hz

b)

100 Hz

c)

200 Hz

d)

300 Hz

14.

A system is said to be unstable if

a)

None of the poles of its transfer function is shifted to the right half of s-plane

b)

At least one zero of its transfer function is shifted to the right half of s-plane

c)

At least one pole of its transfer function is shifted to the right half of s-plane

d)

At least one pole of its transfer function is shifted to the left half of s-plane

15.

In Gibb's phenomenon, the ringing effect is predominantly present near the ______ .

a)

bandgap

b)

bandedge

c)

bandwidth

d)

bandshell