This document contains four sets of questions for a Digital Signal Processing exam. Each set contains eight questions related to topics in digital signal processing, including the discrete Fourier transform, the fast Fourier transform, filter design techniques, realization structures, stability analysis, and system functions. Students must answer any five of the eight questions within a set, with each question worth 16 total marks. The questions require definitions, derivations, analyses, and design problems involving digital signal processing concepts.

1. SET-1RRCode No: RR410201
B.Tech IV Year I Semester Examinations, December-2011
DIGITAL SIGNAL PROCESSING
(ELECTRICAL AND ELECTRONICS ENGINEERING)
Time: 3 hours Max. Marks: 80
Answer any five questions
All questions carry equal marks
---
1.a) Give the Basic Block diagram of Digital Signal Processor and mention its
applications and also provide the advantages and limitations over analog signal
processor.
b) What is an LTI system? Determine whether the system described by the following
equations are Linear and Time invariant or not.
i) y(n) = x(n2
) ii) y(n) = x2
(n) [8+8]
2.a) Derive the necessary and sufficient conditions for the given system to be stable
and Casual.
b) Determine the range of values of a and b for which the linear time-invariant
system with impulse response h(n) = an
, n≥0
bn
, n<0 is stable or not. [8+8]
3.a) Define DFT and IDFT. List Circular convolution, Circular correlation and Time
reversal properties of DFT.
b) Find the IDFT of the sequence X (K) = {2, 2-3j, 4, 2+3j} [8+8]
4.a) What is FFT and List its applications?
b) Given X(K)={255, 48.63+j166.05, -51+j102, -78.63+j46.05, -85,
-78.63-j46.05, -51- j102, 48.63-j166.05} find x(n) using IFFT-DIF algorithm.
[8+8]
5.a) What are the various building blocks required in realization of digital systems?
b) Discuss Direct form I and Direct form – II realization structures and implement
them for the transfer function given by
H(Z) = (0.28Z2
+0.319Z+0.04) / (0.5Z3
+0.3Z2
+0.17Z-0.2). [8+8]
6.a) Define System function and bring out its relationship with difference equation.
b) Determine the impulse response for the system given by the following
difference equation y(n)+3y(n-1)+2y(n-2) = 2x(n)-x(n- [8+8]
7.a) Compare Butterworth and Chebyshev approximation techniques of filter
designing.
b) Design a Digital Butterworth LPF using Bilinear transformation technique for
the following specifications:
0.707 ≤ | H(w) | ≤ 1 ; 0 ≤ w ≤ 0.2π
| H(w) | ≤ 0.08 ; 0.4 π ≤ w ≤ π [8+8]
8.a) Derive the conditions to achieve Linear Phase characteristics of FIR filters.
b) Design an FIR Digital Low pass filter using Hanning window whose cut off
freq is 2 rad/s and length of window N=9. [8+8]
******

2. SET-2RRCode No: RR410201
B.Tech IV Year I Semester Examinations, December-2011
DIGITAL SIGNAL PROCESSING
(ELECTRICAL AND ELECTRONICS ENGINEERING)
Time: 3 hours Max. Marks: 80
Answer any five questions
All questions carry equal marks
---
1.a) Define DFT and IDFT. List Circular convolution, Circular correlation and Time
reversal properties of DFT.
b) Find the IDFT of the sequence X (K) = {2, 2-3j, 4, 2+3j} [8+8]
2.a) What is FFT and List its applications?
b) Given X(K)={255, 48.63+j166.05, -51+j102, -78.63+j46.05, -85,
-78.63-j46.05, -51- j102, 48.63-j166.05} find x(n) using IFFT-DIF algorithm.
[8+8]
3.a) What are the various building blocks required in realization of digital systems?
b) Discuss Direct form I and Direct form – II realization structures and implement
them for the transfer function given by
H(Z) = (0.28Z2
+0.319Z+0.04) / (0.5Z3
+0.3Z2
+0.17Z-0.2). [8+8]
4.a) Define System function and bring out its relationship with difference equation.
b) Determine the impulse response for the system given by the following
difference equation y(n)+3y(n-1)+2y(n-2) = 2x(n)-x(n- [8+8]
5.a) Compare Butterworth and Chebyshev approximation techniques of filter
designing.
b) Design a Digital Butterworth LPF using Bilinear transformation technique for
the following specifications:
0.707 ≤ | H(w) | ≤ 1 ; 0 ≤ w ≤ 0.2π
| H(w) | ≤ 0.08 ; 0.4 π ≤ w ≤ π [8+8]
6.a) Derive the conditions to achieve Linear Phase characteristics of FIR filters.
b) Design an FIR Digital Low pass filter using Hanning window whose cut off
freq is 2 rad/s and length of window N=9. [8+8]
7.a) Give the Basic Block diagram of Digital Signal Processor and mention its
applications and also provide the advantages and limitations over analog signal
processor.
b) What is an LTI system? Determine whether the system described by the following
equations are Linear and Time invariant or not.
i) y(n) = x(n2
) ii) y(n) = x2
(n) [8+8]
8.a) Derive the necessary and sufficient conditions for the given system to be stable
and Casual.
b) Determine the range of values of a and b for which the linear time-invariant
system with impulse response h(n) = an
, n≥0
bn
, n<0 is stable or not. [8+8]
******

3. SET-3RRCode No: RR410201
B.Tech IV Year I Semester Examinations, December-2011
DIGITAL SIGNAL PROCESSING
(ELECTRICAL AND ELECTRONICS ENGINEERING)
Time: 3 hours Max. Marks: 80
Answer any five questions
All questions carry equal marks
---
1.a) What are the various building blocks required in realization of digital systems?
b) Discuss Direct form I and Direct form – II realization structures and implement
them for the transfer function given by
H(Z) = (0.28Z2
+0.319Z+0.04) / (0.5Z3
+0.3Z2
+0.17Z-0.2). [8+8]
2.a) Define System function and bring out its relationship with difference equation.
b) Determine the impulse response for the system given by the following
difference equation y(n)+3y(n-1)+2y(n-2) = 2x(n)-x(n- [8+8]
3.a) Compare Butterworth and Chebyshev approximation techniques of filter
designing.
b) Design a Digital Butterworth LPF using Bilinear transformation technique for
the following specifications:
0.707 ≤ | H(w) | ≤ 1 ; 0 ≤ w ≤ 0.2π
| H(w) | ≤ 0.08 ; 0.4 π ≤ w ≤ π [8+8]
4.a) Derive the conditions to achieve Linear Phase characteristics of FIR filters.
b) Design an FIR Digital Low pass filter using Hanning window whose cut off
freq is 2 rad/s and length of window N=9. [8+8]
5.a) Give the Basic Block diagram of Digital Signal Processor and mention its
applications and also provide the advantages and limitations over analog signal
processor.
b) What is an LTI system? Determine whether the system described by the following
equations are Linear and Time invariant or not.
i) y(n) = x(n2
) ii) y(n) = x2
(n) [8+8]
6.a) Derive the necessary and sufficient conditions for the given system to be stable
and Casual.
b) Determine the range of values of a and b for which the linear time-invariant
system with impulse response h(n) = an
, n≥0
bn
, n<0 is stable or not. [8+8]
7.a) Define DFT and IDFT. List Circular convolution, Circular correlation and Time
reversal properties of DFT.
b) Find the IDFT of the sequence X (K) = {2, 2-3j, 4, 2+3j} [8+8]
8.a) What is FFT and List its applications?
b) Given X(K)={255, 48.63+j166.05, -51+j102, -78.63+j46.05, -85,
-78.63-j46.05, -51- j102, 48.63-j166.05} find x(n) using IFFT-DIF algorithm.
[8+8]
******

4. SET-4RRCode No: RR410201
B.Tech IV Year I Semester Examinations, December-2011
DIGITAL SIGNAL PROCESSING
(ELECTRICAL AND ELECTRONICS ENGINEERING)
Time: 3 hours Max. Marks: 80
Answer any five questions
All questions carry equal marks
---
1.a) Compare Butterworth and Chebyshev approximation techniques of filter
designing.
b) Design a Digital Butterworth LPF using Bilinear transformation technique for
the following specifications:
0.707 ≤ | H(w) | ≤ 1 ; 0 ≤ w ≤ 0.2π
| H(w) | ≤ 0.08 ; 0.4 π ≤ w ≤ π [8+8]
2.a) Derive the conditions to achieve Linear Phase characteristics of FIR filters.
b) Design an FIR Digital Low pass filter using Hanning window whose cut off
freq is 2 rad/s and length of window N=9. [8+8]
3.a) Give the Basic Block diagram of Digital Signal Processor and mention its
applications and also provide the advantages and limitations over analog signal
processor.
b) What is an LTI system? Determine whether the system described by the following
equations are Linear and Time invariant or not.
i) y(n) = x(n2
) ii) y(n) = x2
(n) [8+8]
4.a) Derive the necessary and sufficient conditions for the given system to be stable
and Casual.
b) Determine the range of values of a and b for which the linear time-invariant
system with impulse response h(n) = an
, n≥0
bn
, n<0 is stable or not. [8+8]
5.a) Define DFT and IDFT. List Circular convolution, Circular correlation and Time
reversal properties of DFT.
b) Find the IDFT of the sequence X (K) = {2, 2-3j, 4, 2+3j} [8+8]
6.a) What is FFT and List its applications?
b) Given X(K)={255, 48.63+j166.05, -51+j102, -78.63+j46.05, -85,
-78.63-j46.05, -51- j102, 48.63-j166.05} find x(n) using IFFT-DIF algorithm.
[8+8]
7.a) What are the various building blocks required in realization of digital systems?
b) Discuss Direct form I and Direct form – II realization structures and implement
them for the transfer function given by
H(Z) = (0.28Z2
+0.319Z+0.04) / (0.5Z3
+0.3Z2
+0.17Z-0.2). [8+8]
8.a) Define System function and bring out its relationship with difference equation.
b) Determine the impulse response for the system given by the following
difference equation y(n)+3y(n-1)+2y(n-2) = 2x(n)-x(n- [8+8]
******