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SNS Quiz BTI

Total questions: 10

Worksheet time: 8mins

Name
Class
Date
1.

 If bn =4nπ{1(1)n} , What is the value of b3 ?If\ b_n\ =\frac{4}{n\pi}\left\{1-\left(-1\right)^n\right\}\ ,\ What\ is\ the\ value\ of\ b_3\ ?  

a)

 4nπ\frac{4}{n\pi}  

b)

 8nπ\frac{8}{n\pi}  

c)

 8nπ\frac{-8}{n\pi}  

d)

0

2.

What is Fourier series?

a)

The representation of periodic signals in a mathematical manner is called a Fourier series

b)

The representation of non periodic signals in a mathematical manner is called a Fourier series

c)

The representation of non periodic signals in terms of complex exponentials or sinusoids is called a Fourier series

d)

The representation of periodic signals in terms of complex exponentials or sinusoids is called a Fourier series

3.

Which of the following is the Analysis Equation of Fourier Transform?

a)

F(w)=f(t)ejwt dtF\left(w\right)=\int_{-\infty}^{\infty}f\left(t\right)e^{jwt\ }dt

b)

F(w)=0f(t)ejwtdtF\left(w\right)=\int_0^{\infty}f\left(t\right)e^{jwt}dt

c)

F(w)=0f(t)ejwtdtF\left(w\right)=\int_0^{\infty}f\left(t\right)e^{-jwt}dt

d)

F(w)=f(t)ejwtdtF\left(w\right)=\int_{-\infty}^{\infty}f\left(t\right)e^{-jwt}dt

4.

Find the Fourier Transform of an Exponential signal

 f(t)=eatu(t),a>0f\left(t\right)=e^{-at}u\left(t\right),a>0  

a)

 1a+jw\frac{1}{a+jw}  

b)

 1ajw\frac{1}{a-jw}  

c)

 1a+jw\frac{1}{-a+jw}  

d)

 1ajw\frac{1}{-a-jw}  

5.

The Fourier Transform of a function

 X(t) is X(w).X\left(t\right)\ is\ X\left(w\right).  what will be the fourier transform of  dX(t)dt\frac{\text{d}X\left(t\right)}{\text{d}t}  ?

a)

 X(f)jf\frac{X\left(f\right)}{jf}  

b)

 j2πfX(f)j2\pi fX\left(f\right)  

c)

 dX(f)dt\frac{\text{d}X\left(f\right)}{\text{d}t}  

d)

 jfX(f)jfX\left(f\right)  

6.

When 

 ω\omega  =0 in the signal  x(t)=A est , x\left(t\right)=A\ e^{st\ },\   where  s=\alpha+j\omega  , the signal x(t) represents

a)

Exponential Signal

b)

Step SIgnal

c)

Ramp Signal

d)

Sinusoidal Signal

7.

The inverse Laplace transform of the transfer function gives the impulse response

a)

True

b)

False

8.

How many poles and zeroes in ROC diagram

a)

Poles-2
Zeroes-1


b)

Poles-2
Zeroes-2

c)

Poles-1
Zeroes-2

d)

Poles-0
Zeroes-0

9.

What is the ROC in this figure?

a)

Re(s)>2Re\left(s\right)>-2

b)

Re(s)>1Re\left(s\right)>-1

c)

Re(s)>0Re\left(s\right)>0

d)

Re(s)>1Re\left(s\right)>1

10.

Choose the correct ROC for  X(s)=s+2s(s+3)X\left(s\right)=\frac{s+2}{s\left(s+3\right)}   Re(s)>0Re\left(s\right)>0  

a)
b)
c)
d)