Exam Details
| Subject | signals and systems | |
| Paper | ||
| Exam / Course | b.arch | |
| Department | ||
| Organization | Visvesvaraya Technological University | |
| Position | ||
| Exam Date | 2018 | |
| City, State | karnataka, belagavi |
Question Paper
Model Question Paper
Fifth Semester B.E.(CBCS) Examination
Signals and Systems
(Common to all Branches)
Time: 3 Hrs Max.Marks: 80
Note: Answer any FIVE full questions, choosing at least ONE question
from each module
Module-I
1. a. Distinguish between Even and Odd Signals
ii) Periodic and nonperiodic signals (04 Marks)
b. Determine whether the following signals are periodic, if periodic determine the
fundamental period. cos2t sin3t sin2n (04 Marks)
c. Sketch the following signal for is shown in figure.
ii) iii) iv) (08 Marks)
2. a. Find total energy of the following signals
A t T/2 ii) (08 Marks)
0 Otherwise
b. Determine whether the system is Linear ii) Time-invarient
iii) Memory iv) Causal Stable (08 Marks)
Module-II
3. a. Consider an LTI system with input unit impulse response given below,
Compute 2n (08 Marks)
b. Find the step response for the LTI system represented by impulse response
ii) Marks)
c. . Determine stability causality of the following
ii) Marks)
4. a. Find Forced response of the following system given by
5/6 1/6 where 2n (10 Marks)
b. Draw direct form-I II structures for the system described by the differential
equation. marks)
Module-III
5. State prove the following properties of FT. Time shifting property ii) parseval's
theorem. (10Marks)
b. Obtain the fourier transform of te-atu(t) Marks)
6. a. Find the fourier transform of rectangular pulse shown below
(08 Marks)
b. Find the frequency response impulse response of the system described by
differential equation. (08 Marks)
Module-IV
7. a. Obtain the DTFT of the signal =2n (06 Marks)
b. State prove the following properties of DTFT. Convolution property ii)
Frequency differentiation. (10Marks)
8. a. Using DTFT find the total solution to the difference equation for discrete time
signal. 0.8 (08 Marks)
b. Find the fourier transform of the following.
1 2 (08 Marks)
0 Otherwise
Module-V
9. a. Find the Z-transform of the following
2n ii) (08 Marks)
b. Prove the following properties of Z-transform Linearity ii) Initial value theorem
(08 Marks)
10. a. Find Inverse Z-transform of the following using partial fraction expansion method.
(08 Marks)
b. Solve the following difference equation using unilateral Z-transform
with and the initial condition
(08 Marks)
Fifth Semester B.E.(CBCS) Examination
Signals and Systems
(Common to all Branches)
Time: 3 Hrs Max.Marks: 80
Note: Answer any FIVE full questions, choosing at least ONE question
from each module
Module-I
1. a. Distinguish between Even and Odd Signals
ii) Periodic and nonperiodic signals (04 Marks)
b. Determine whether the following signals are periodic, if periodic determine the
fundamental period. cos2t sin3t sin2n (04 Marks)
c. Sketch the following signal for is shown in figure.
ii) iii) iv) (08 Marks)
2. a. Find total energy of the following signals
A t T/2 ii) (08 Marks)
0 Otherwise
b. Determine whether the system is Linear ii) Time-invarient
iii) Memory iv) Causal Stable (08 Marks)
Module-II
3. a. Consider an LTI system with input unit impulse response given below,
Compute 2n (08 Marks)
b. Find the step response for the LTI system represented by impulse response
ii) Marks)
c. . Determine stability causality of the following
ii) Marks)
4. a. Find Forced response of the following system given by
5/6 1/6 where 2n (10 Marks)
b. Draw direct form-I II structures for the system described by the differential
equation. marks)
Module-III
5. State prove the following properties of FT. Time shifting property ii) parseval's
theorem. (10Marks)
b. Obtain the fourier transform of te-atu(t) Marks)
6. a. Find the fourier transform of rectangular pulse shown below
(08 Marks)
b. Find the frequency response impulse response of the system described by
differential equation. (08 Marks)
Module-IV
7. a. Obtain the DTFT of the signal =2n (06 Marks)
b. State prove the following properties of DTFT. Convolution property ii)
Frequency differentiation. (10Marks)
8. a. Using DTFT find the total solution to the difference equation for discrete time
signal. 0.8 (08 Marks)
b. Find the fourier transform of the following.
1 2 (08 Marks)
0 Otherwise
Module-V
9. a. Find the Z-transform of the following
2n ii) (08 Marks)
b. Prove the following properties of Z-transform Linearity ii) Initial value theorem
(08 Marks)
10. a. Find Inverse Z-transform of the following using partial fraction expansion method.
(08 Marks)
b. Solve the following difference equation using unilateral Z-transform
with and the initial condition
(08 Marks)
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