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Ecb 352

The document outlines the B. Tech End Semester Makeup Exam for Digital Signal Processing, including a total of nine questions covering topics such as circular convolution, IDFT, inverse Z-transform, system linearity, and filter design. Each question is assigned specific marks, with a maximum score of 50. The exam is designed for students in the ECE branch during their sixth semester.

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3 views1 page

Ecb 352

The document outlines the B. Tech End Semester Makeup Exam for Digital Signal Processing, including a total of nine questions covering topics such as circular convolution, IDFT, inverse Z-transform, system linearity, and filter design. Each question is assigned specific marks, with a maximum score of 50. The exam is designed for students in the ECE branch during their sixth semester.

Uploaded by

cheeseplease610
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Natitma{ Institute ojtTecftnofogy, (])e/ni

Name of the Examination: B. Tech.


(End Semester Makeup Exam: July 2023)
Branch : B.Tech (ECE) Semester :VI
Title of the Course : Digital Signal Processing Course Code : ECB 352
Time: 3 Hour Maximum Marks: 50
Note: All questions are compulsory.

Ql. Find circular convolution of two sequences using graphical method only. Xl (n) = [5 Marks]
{1,2, -1, -2,3,1), xz(n) = {3,2,1}

Q2. Find the IDFT of X(k) = {4, -j2, 0, j2} [5 Marks]

Q3. Find all possible inverse Z-transform using long division method [5 Marks]
ZZ + z + 2
X(z) = (Z3 _ 2zz + 3z + 4) ; ROC; [z] < 1

1 [5 Marks]
Q4. (a) Check whether the system yen) = x(n) + -c -) is linear or not.
Zx n-Z
(b) Find the energy and power of the signal
x(n) = sin(~n).
3

Q5. (a) Define causal and non causal systems. How we can predict whether the given system is [5 Marks]
stable or not?
(b) Check whether the system is LTI systems or not.
yen) = {xo(n) + x(n - 2) for n 2:: 0
for n < 0

Q6. Find the direct direct form-I and direct form-II realization of discrete-time system [5 Marks]
represented by the transfer function
3z3 - Szz + 9z - 3
H(Z)=(
z -2 ZZ - z + 3"
1)( 1)
Q7. Find the Z-Transform and ROC of the given discrete time signal. Also plot the ROC and [5 Marks]
pole-zero location.
x(n) = 2 Gf u(-n -1) +3 G)zn u(n)
Q8. The system transfer function of analog filter is given by [5 Marks]
s+ 0.1
H(s) ----=---
- (s + 0.1)2 + 16
Determine the system transfer function of digital filter using BLT which is resonant at
rr
Wr = 2'
Q9. Design a low-pass digital chebyshev filter using bilinear transformation to satisfy the [10 Marks]
following
constraints (consider Ts=I sec)
0.707::; IH(ejW) s 1 0 s W s 0.211
IH(ejW) ::; 0.2 0.511 ::; W ::; 11

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