Exam Details
| Subject | Signal And Systems | |
| Paper | ||
| Exam / Course | BTCVI / BTECVI / BTELVI | |
| Department | School of Engineering & Technology (SOET) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | December, 2016 | |
| City, State | new delhi, |
Question Paper
No. of Printed Pages: 5 IBIEL..()()71
B.Tech. -VIEP -ELECTRONICS AND COMMUNICATION ENGINEERING (BTECVI) Term-End ExamiJiation DDRi ...:S December, 2016
BIEL-007 SIGNALS AND SYSTEMS
Time: 3 hours Maximum Marks: 70
Note: Attempt any Seven questions. All questions carry equal marks. Use of scientific calculator is allowed. All the questions are to be answered in English language only.
1. Sketch and label the even and odd components of the signals shown in Figure . <img src='./qimages/8816-1a.jpg'> <img src='./qimages/8816-1b.jpg'> <img src='./qimages/8816-1c.jpg'> <img src='./qimages/8816-1d.jpg'>
2. Show that the complex exponential signal
x(t) =e^iwot
is periodic and that its fundamental period is 2n/w0. 5
Show that the complex exponential sequence
x(n)=e^jo0n
is periodic only if o0/2n is a rational number
3. Consider the system shown in Figure. Determine whether it is memoryless, causal, linear, time-invariant, or stable. 10
<br> <img src='./qimages/8816-3.jpg'> <br>
4. The step response of a discrete-time LTI system is given by
0 a 1.
Find the impulse response of the system. 5
Show that if the input to a discrete-time LTI system is periodic with period then the output is also periodic with period N. 5
5. Compute given that
v1(t) 4t, t>=0
0, t<0
v2(t) t>=0
t<0
6. The continuous-time system shown in Figure 3 consists of two integrators and two scalar multipliers. Write a differential equation that relates the output and the input 10 <img src='./qimages/8816-6.jpg'>
7. Determine the complex exponential Fourier series representation for each of the following signals: 10 =cos w0t =sin =cos (2t =cos 4t cos 6t =sin^2 w0t
8. A causal discrete-time LTI system is described by
y[n] 1/8
where and are the input and output of the system, respectively.
Determine the frequency response of the system. Find the impulse response hen] of the system. 10
9. Find the inverse z-transform of
X(z) Z lzl 1
10. Consider the discrete-time system shown in Figure. For what values of is the system BIBO stable? 10 <img src='./qimages/8816-10.jpg'>
B.Tech. -VIEP -ELECTRONICS AND COMMUNICATION ENGINEERING (BTECVI) Term-End ExamiJiation DDRi ...:S December, 2016
BIEL-007 SIGNALS AND SYSTEMS
Time: 3 hours Maximum Marks: 70
Note: Attempt any Seven questions. All questions carry equal marks. Use of scientific calculator is allowed. All the questions are to be answered in English language only.
1. Sketch and label the even and odd components of the signals shown in Figure . <img src='./qimages/8816-1a.jpg'> <img src='./qimages/8816-1b.jpg'> <img src='./qimages/8816-1c.jpg'> <img src='./qimages/8816-1d.jpg'>
2. Show that the complex exponential signal
x(t) =e^iwot
is periodic and that its fundamental period is 2n/w0. 5
Show that the complex exponential sequence
x(n)=e^jo0n
is periodic only if o0/2n is a rational number
3. Consider the system shown in Figure. Determine whether it is memoryless, causal, linear, time-invariant, or stable. 10
<br> <img src='./qimages/8816-3.jpg'> <br>
4. The step response of a discrete-time LTI system is given by
0 a 1.
Find the impulse response of the system. 5
Show that if the input to a discrete-time LTI system is periodic with period then the output is also periodic with period N. 5
5. Compute given that
v1(t) 4t, t>=0
0, t<0
v2(t) t>=0
t<0
6. The continuous-time system shown in Figure 3 consists of two integrators and two scalar multipliers. Write a differential equation that relates the output and the input 10 <img src='./qimages/8816-6.jpg'>
7. Determine the complex exponential Fourier series representation for each of the following signals: 10 =cos w0t =sin =cos (2t =cos 4t cos 6t =sin^2 w0t
8. A causal discrete-time LTI system is described by
y[n] 1/8
where and are the input and output of the system, respectively.
Determine the frequency response of the system. Find the impulse response hen] of the system. 10
9. Find the inverse z-transform of
X(z) Z lzl 1
10. Consider the discrete-time system shown in Figure. For what values of is the system BIBO stable? 10 <img src='./qimages/8816-10.jpg'>
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- Advance Microprocessor And Architecture
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