JNTU Kakinada B-Tech 3-2 RT32042 I DIGITAL SIGNAL PROCESSING R13 April 2018 Question Paper

Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING (Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) What are the elementary discrete time signals? [3M]
b) Find the IDFT of Y (k) = (1, 1, 1, 0) [4M]
c) State the properties of ROC. [4M
d) Why IIR filters do not have linear phase? [3M]
e) Explain how a multi-rate system is different from a single-rate system? [4M]
f) Explain the basic architectural features of programmable DSP devices. [4M]
PART -B
2 a) Find the periodicity of the signal x(n) =sin (2pn / 3)+ cos (p n / 2) [4M]
b) Explain the frequency response of discrete time system. [8M]
c) What is the causality condition for an LTI system?
[4M]
3 a) Find the DFT of x[n] = a
n
for 0 = n = 3
= 0 otherwise.
[8M]
b) Find the linear convolution of the sequences x[n]={ 1,4,0,9,-1} and h[n]= {-3,-4,0,7}
[8M]
4 a) State and prove any three properties of Z- Transform. [8M]
b) Obtain direct form I, direct form II and cascade realizations of system described by
the equation, y[n]=y[n-1]-(1/2)y[n-2]+x[n]-x[n-1]+x[n-2]
[8M]
5 a) Determine the system function H(Z) of the lowest order Chebyshev digital filter that
meets the following specifications.
i) 3 db ripple in the passband 0 = |?| = 0.3p
ii) At least 40 dB attenuation in the stopband 0.35p = |?| = p. Use the bilinear
transformation.
[8M]
b) Explain the need for the use of window sequence in the design of FIR filter. Describe
the window sequence generally used and compare the properties.
[8M]
6 a) What is Interpolation? Explain about the frequency domain description of an
Interpolator.
[8M]
b) What do you mean by fractional sampling rate conversion? Explain with an example
of converting 48 kHz signal to 44.1 kHz signal using multi-stage fractional sampling
rate converter.
[8M]
7 a) Discuss in detail the Basic Architectural features of programmable DSP devices, [8M]
b) Discuss in detail the Pipeline Operation of TMS320C54XX Processors. [8M]
*****
R13
SET – 1
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING (Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) What are the elementary discrete time signals? [3M]
b) Find the IDFT of Y (k) = (1, 1, 1, 0) [4M]
c) State the properties of ROC. [4M
d) Why IIR filters do not have linear phase? [3M]
e) Explain how a multi-rate system is different from a single-rate system? [4M]
f) Explain the basic architectural features of programmable DSP devices. [4M]
PART -B
2 a) Find the periodicity of the signal x(n) =sin (2pn / 3)+ cos (p n / 2) [4M]
b) Explain the frequency response of discrete time system. [8M]
c) What is the causality condition for an LTI system?
[4M]
3 a) Find the DFT of x[n] = a
n
for 0 = n = 3
= 0 otherwise.
[8M]
b) Find the linear convolution of the sequences x[n]={ 1,4,0,9,-1} and h[n]= {-3,-4,0,7}
[8M]
4 a) State and prove any three properties of Z- Transform. [8M]
b) Obtain direct form I, direct form II and cascade realizations of system described by
the equation, y[n]=y[n-1]-(1/2)y[n-2]+x[n]-x[n-1]+x[n-2]
[8M]
5 a) Determine the system function H(Z) of the lowest order Chebyshev digital filter that
meets the following specifications.
i) 3 db ripple in the passband 0 = |?| = 0.3p
ii) At least 40 dB attenuation in the stopband 0.35p = |?| = p. Use the bilinear
transformation.
[8M]
b) Explain the need for the use of window sequence in the design of FIR filter. Describe
the window sequence generally used and compare the properties.
[8M]
6 a) What is Interpolation? Explain about the frequency domain description of an
Interpolator.
[8M]
b) What do you mean by fractional sampling rate conversion? Explain with an example
of converting 48 kHz signal to 44.1 kHz signal using multi-stage fractional sampling
rate converter.
[8M]
7 a) Discuss in detail the Basic Architectural features of programmable DSP devices, [8M]
b) Discuss in detail the Pipeline Operation of TMS320C54XX Processors. [8M]
*****
R13
SET – 1
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING
(Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) Define discrete time signal and give examples. [3M]
b) What are the advantages FFT over DFT. [4M]
c) What are the different methods of evaluating inverse z transform? [3M]
d) Draw the indirect form realizations of FIR systems? [4M]
e) Derive transfer function of an Interpolator. [4M]
f) Discuss about the various sources of errors in the computation using DSP processor
implementations.
[4M]
PART -B
2 a) Discuss the frequency domain representation of linear time-invariant systems. [8M]
b) Determine the frequency response for the system given by
y(n)-3/4y(n-1)+1/8 y(n-2) = x(n)- x(n-1)[8M]
3 a) Find the DFT of the sequence x[n]={1,2,1,2,1,2,1,2} using decimation in time
algorithm.
[8M]
b) State and prove any four Properties of discrete Fourier series.
[8M]
4 a) With respect to Z transforms define the properties of ROC. [8M]
b) Obtain the parallel form realization for the IIR system described by the transfer
function
2 1
2 1
2 . 0 1 . 0 1
6 . 0 6 . 3 3
) (
? ?
? ?
? ?
? ?
?
z z
z z
z H .
[8M]
5 a) Convert the following analog transfer function in to digital using bilinear transform
and IIT methods with T=1sec
) 9 ( ) 3 (
) (
? ?
?
s s
s
s H
[8M]
b) Design a HPF of length 7 with cut off frequency of 2 rad/sec using Hamming
window..
[8M]
6 a) With necessary derivations explain the operation of sampling rate conversion by a
factor of I/D in both frequency and time domains.
[8M]
b) What are the applications of multirate digital signal processing?
[8M]
7 a) Explain the various pipeline programming models that are adapted in DSP
processors.
[8M]
b) Explain the Bus Architecture of DSP Processor. [8M]
*****
R13
SET – 2
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING (Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) What are the elementary discrete time signals? [3M]
b) Find the IDFT of Y (k) = (1, 1, 1, 0) [4M]
c) State the properties of ROC. [4M
d) Why IIR filters do not have linear phase? [3M]
e) Explain how a multi-rate system is different from a single-rate system? [4M]
f) Explain the basic architectural features of programmable DSP devices. [4M]
PART -B
2 a) Find the periodicity of the signal x(n) =sin (2pn / 3)+ cos (p n / 2) [4M]
b) Explain the frequency response of discrete time system. [8M]
c) What is the causality condition for an LTI system?
[4M]
3 a) Find the DFT of x[n] = a
n
for 0 = n = 3
= 0 otherwise.
[8M]
b) Find the linear convolution of the sequences x[n]={ 1,4,0,9,-1} and h[n]= {-3,-4,0,7}
[8M]
4 a) State and prove any three properties of Z- Transform. [8M]
b) Obtain direct form I, direct form II and cascade realizations of system described by
the equation, y[n]=y[n-1]-(1/2)y[n-2]+x[n]-x[n-1]+x[n-2]
[8M]
5 a) Determine the system function H(Z) of the lowest order Chebyshev digital filter that
meets the following specifications.
i) 3 db ripple in the passband 0 = |?| = 0.3p
ii) At least 40 dB attenuation in the stopband 0.35p = |?| = p. Use the bilinear
transformation.
[8M]
b) Explain the need for the use of window sequence in the design of FIR filter. Describe
the window sequence generally used and compare the properties.
[8M]
6 a) What is Interpolation? Explain about the frequency domain description of an
Interpolator.
[8M]
b) What do you mean by fractional sampling rate conversion? Explain with an example
of converting 48 kHz signal to 44.1 kHz signal using multi-stage fractional sampling
rate converter.
[8M]
7 a) Discuss in detail the Basic Architectural features of programmable DSP devices, [8M]
b) Discuss in detail the Pipeline Operation of TMS320C54XX Processors. [8M]
*****
R13
SET – 1
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING
(Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) Define discrete time signal and give examples. [3M]
b) What are the advantages FFT over DFT. [4M]
c) What are the different methods of evaluating inverse z transform? [3M]
d) Draw the indirect form realizations of FIR systems? [4M]
e) Derive transfer function of an Interpolator. [4M]
f) Discuss about the various sources of errors in the computation using DSP processor
implementations.
[4M]
PART -B
2 a) Discuss the frequency domain representation of linear time-invariant systems. [8M]
b) Determine the frequency response for the system given by
y(n)-3/4y(n-1)+1/8 y(n-2) = x(n)- x(n-1)[8M]
3 a) Find the DFT of the sequence x[n]={1,2,1,2,1,2,1,2} using decimation in time
algorithm.
[8M]
b) State and prove any four Properties of discrete Fourier series.
[8M]
4 a) With respect to Z transforms define the properties of ROC. [8M]
b) Obtain the parallel form realization for the IIR system described by the transfer
function
2 1
2 1
2 . 0 1 . 0 1
6 . 0 6 . 3 3
) (
? ?
? ?
? ?
? ?
?
z z
z z
z H .
[8M]
5 a) Convert the following analog transfer function in to digital using bilinear transform
and IIT methods with T=1sec
) 9 ( ) 3 (
) (
? ?
?
s s
s
s H
[8M]
b) Design a HPF of length 7 with cut off frequency of 2 rad/sec using Hamming
window..
[8M]
6 a) With necessary derivations explain the operation of sampling rate conversion by a
factor of I/D in both frequency and time domains.
[8M]
b) What are the applications of multirate digital signal processing?
[8M]
7 a) Explain the various pipeline programming models that are adapted in DSP
processors.
[8M]
b) Explain the Bus Architecture of DSP Processor. [8M]
*****
R13
SET – 2
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING
(Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) Determine whether the following system given by y(n) = log10[{x(n)}] is Casual or
not.
[3M]
b) What are the properties of convolution sum? [4M]
c) List the applications of Z ? transforms. [3M]
d) Compare Chebyshev Filter and Butterworth Filter. [4M]
e) Derive transfer function of Decimator. [4M]
f) What are the functional units present in the TMS320C54XX processor? [4M]
PART -B
2 a)Consider a signal ] [ ) ( ] [ n u a n x
n ?
? ? determine the spectrum X(w).
[8M]
b) Determine the response of Second order Discrete Time system governed by the
difference equation y(n)-2y(n-1)-3y(n-2)= x(n)+4x(n-1), n=0,when the input signal
is x(n)= 2
n
u(n), with initial conditions y(-2)=0,y(-1)=5.
[8M]
3 a) Explain the significance of FFT algorithms. Draw the basic butterfly diagram for
radix – 2 DIT-FFT.
[8M]
b) Find the DFT of x[n]={0.5,0.5,0.5,0.5,-1,-1,-1,-1} using decimation in time
algorithm.
[8M]
4 a)Find the Z-Transform
]. [ ]
4
[ )
3
1( ] [ n u n Sin n x
n
?
?
[8M
b)Realize
2 1
1 2
4 5 3
2 . 0 6 . 0 1
) (
? ?
? ?
? ?
? ?
?
z
z z
z H using Direct form I and Direct form II structures
[8M
5 a) Distinguish between ?maximally flat magnitude response? and ?equiripple magnitude
response? filters.
[8M
b) Explain the impulse invariance method of IIR filter design. [8M
6 a) Explain the concept of multi rate signal processing along with two applications of it [8M
b) Explain how sampling rate conversion of band pass signals can be achieved. [8M
7 a) Explain in detail the circular addressing mode and bit-reversed addressing mode. [8M
b) Explain Memory Access schemes in DSPs. [8M
*****

R13
SET – 3
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING (Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) What are the elementary discrete time signals? [3M]
b) Find the IDFT of Y (k) = (1, 1, 1, 0) [4M]
c) State the properties of ROC. [4M
d) Why IIR filters do not have linear phase? [3M]
e) Explain how a multi-rate system is different from a single-rate system? [4M]
f) Explain the basic architectural features of programmable DSP devices. [4M]
PART -B
2 a) Find the periodicity of the signal x(n) =sin (2pn / 3)+ cos (p n / 2) [4M]
b) Explain the frequency response of discrete time system. [8M]
c) What is the causality condition for an LTI system?
[4M]
3 a) Find the DFT of x[n] = a
n
for 0 = n = 3
= 0 otherwise.
[8M]
b) Find the linear convolution of the sequences x[n]={ 1,4,0,9,-1} and h[n]= {-3,-4,0,7}
[8M]
4 a) State and prove any three properties of Z- Transform. [8M]
b) Obtain direct form I, direct form II and cascade realizations of system described by
the equation, y[n]=y[n-1]-(1/2)y[n-2]+x[n]-x[n-1]+x[n-2]
[8M]
5 a) Determine the system function H(Z) of the lowest order Chebyshev digital filter that
meets the following specifications.
i) 3 db ripple in the passband 0 = |?| = 0.3p
ii) At least 40 dB attenuation in the stopband 0.35p = |?| = p. Use the bilinear
transformation.
[8M]
b) Explain the need for the use of window sequence in the design of FIR filter. Describe
the window sequence generally used and compare the properties.
[8M]
6 a) What is Interpolation? Explain about the frequency domain description of an
Interpolator.
[8M]
b) What do you mean by fractional sampling rate conversion? Explain with an example
of converting 48 kHz signal to 44.1 kHz signal using multi-stage fractional sampling
rate converter.
[8M]
7 a) Discuss in detail the Basic Architectural features of programmable DSP devices, [8M]
b) Discuss in detail the Pipeline Operation of TMS320C54XX Processors. [8M]
*****
R13
SET – 1
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING
(Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) Define discrete time signal and give examples. [3M]
b) What are the advantages FFT over DFT. [4M]
c) What are the different methods of evaluating inverse z transform? [3M]
d) Draw the indirect form realizations of FIR systems? [4M]
e) Derive transfer function of an Interpolator. [4M]
f) Discuss about the various sources of errors in the computation using DSP processor
implementations.
[4M]
PART -B
2 a) Discuss the frequency domain representation of linear time-invariant systems. [8M]
b) Determine the frequency response for the system given by
y(n)-3/4y(n-1)+1/8 y(n-2) = x(n)- x(n-1)[8M]
3 a) Find the DFT of the sequence x[n]={1,2,1,2,1,2,1,2} using decimation in time
algorithm.
[8M]
b) State and prove any four Properties of discrete Fourier series.
[8M]
4 a) With respect to Z transforms define the properties of ROC. [8M]
b) Obtain the parallel form realization for the IIR system described by the transfer
function
2 1
2 1
2 . 0 1 . 0 1
6 . 0 6 . 3 3
) (
? ?
? ?
? ?
? ?
?
z z
z z
z H .
[8M]
5 a) Convert the following analog transfer function in to digital using bilinear transform
and IIT methods with T=1sec
) 9 ( ) 3 (
) (
? ?
?
s s
s
s H
[8M]
b) Design a HPF of length 7 with cut off frequency of 2 rad/sec using Hamming
window..
[8M]
6 a) With necessary derivations explain the operation of sampling rate conversion by a
factor of I/D in both frequency and time domains.
[8M]
b) What are the applications of multirate digital signal processing?
[8M]
7 a) Explain the various pipeline programming models that are adapted in DSP
processors.
[8M]
b) Explain the Bus Architecture of DSP Processor. [8M]
*****
R13
SET – 2
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING
(Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) Determine whether the following system given by y(n) = log10[{x(n)}] is Casual or
not.
[3M]
b) What are the properties of convolution sum? [4M]
c) List the applications of Z ? transforms. [3M]
d) Compare Chebyshev Filter and Butterworth Filter. [4M]
e) Derive transfer function of Decimator. [4M]
f) What are the functional units present in the TMS320C54XX processor? [4M]
PART -B
2 a)Consider a signal ] [ ) ( ] [ n u a n x
n ?
? ? determine the spectrum X(w).
[8M]
b) Determine the response of Second order Discrete Time system governed by the
difference equation y(n)-2y(n-1)-3y(n-2)= x(n)+4x(n-1), n=0,when the input signal
is x(n)= 2
n
u(n), with initial conditions y(-2)=0,y(-1)=5.
[8M]
3 a) Explain the significance of FFT algorithms. Draw the basic butterfly diagram for
radix – 2 DIT-FFT.
[8M]
b) Find the DFT of x[n]={0.5,0.5,0.5,0.5,-1,-1,-1,-1} using decimation in time
algorithm.
[8M]
4 a)Find the Z-Transform
]. [ ]
4
[ )
3
1( ] [ n u n Sin n x
n
?
?
[8M
b)Realize
2 1
1 2
4 5 3
2 . 0 6 . 0 1
) (
? ?
? ?
? ?
? ?
?
z
z z
z H using Direct form I and Direct form II structures
[8M
5 a) Distinguish between ?maximally flat magnitude response? and ?equiripple magnitude
response? filters.
[8M
b) Explain the impulse invariance method of IIR filter design. [8M
6 a) Explain the concept of multi rate signal processing along with two applications of it [8M
b) Explain how sampling rate conversion of band pass signals can be achieved. [8M
7 a) Explain in detail the circular addressing mode and bit-reversed addressing mode. [8M
b) Explain Memory Access schemes in DSPs. [8M
*****

R13
SET – 3
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING
(Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) Determine whether the system defined by y(n) = x(-n
2
-2) is time invariant or not. [3M]
b) What is FFT? How many multiplications and additions are required to compute N point
DFT using redix-2 FFT?
[4M]
c) State and prove Parsvel?s theorem. [4M]
d) Why FIR filters are always stable? [4M]
e) What is Down sampling? [3M]
f) Explain the role of on-chip peripherals for programmable digital signal processors. [4M]
PART -B
2 a) For each case determine the system is stable or causal
i) h(n)= sin (p n / 2) ii) h(n) = d(n) + sin p n iii) h(n) = 2 n u(-n)[10M]
b) Show that an LTI system can be described by its unit sample response. [6M]
3 a) State and prove convolution Properties of DFT. [8M]
b) Compute the DFT for the sequence (0.5,0.5,0.5,0.5,1,1,1,1) using DIF-FFT
[8M]
4 a)Find the Inverse Z-Transform of
2 | | ,
) 2 1 )( 1 (
3
1
1
) (
1 1
1
?
? ?
?
?
? ?
?
z
z z
z
z X
using partial fractions
method.
[8M
b) Obtain the cascade form realization for the recursive IIR system described by the
transfer function
2 1
2 1
2 . 0 1 . 0 1
6 . 0 6 . 3 3
) (
? ?
? ?
? ?
? ?
?
z z
z z
z H .
[8M
5 a) Explain the design procedure for IIR filters using Butterworth approximations. [8M
b) A low pass filter is to be designed with the following desired frequency response.
H
d(e
jw
) = e
-j2w
, -p/4 ? ? ? p/4
0, p/4 ? |?| ? p
Determine the filter coefficients h
d(n) if the window function is defined as
?(n) = 1, 0 ? n ? 4
0, otherwise
Also determine the frequency response H(e
jw
) of the designed filter.

1 of 2

[8M
R13
SET – 4
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING (Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) What are the elementary discrete time signals? [3M]
b) Find the IDFT of Y (k) = (1, 1, 1, 0) [4M]
c) State the properties of ROC. [4M
d) Why IIR filters do not have linear phase? [3M]
e) Explain how a multi-rate system is different from a single-rate system? [4M]
f) Explain the basic architectural features of programmable DSP devices. [4M]
PART -B
2 a) Find the periodicity of the signal x(n) =sin (2pn / 3)+ cos (p n / 2) [4M]
b) Explain the frequency response of discrete time system. [8M]
c) What is the causality condition for an LTI system?
[4M]
3 a) Find the DFT of x[n] = a
n
for 0 = n = 3
= 0 otherwise.
[8M]
b) Find the linear convolution of the sequences x[n]={ 1,4,0,9,-1} and h[n]= {-3,-4,0,7}
[8M]
4 a) State and prove any three properties of Z- Transform. [8M]
b) Obtain direct form I, direct form II and cascade realizations of system described by
the equation, y[n]=y[n-1]-(1/2)y[n-2]+x[n]-x[n-1]+x[n-2]
[8M]
5 a) Determine the system function H(Z) of the lowest order Chebyshev digital filter that
meets the following specifications.
i) 3 db ripple in the passband 0 = |?| = 0.3p
ii) At least 40 dB attenuation in the stopband 0.35p = |?| = p. Use the bilinear
transformation.
[8M]
b) Explain the need for the use of window sequence in the design of FIR filter. Describe
the window sequence generally used and compare the properties.
[8M]
6 a) What is Interpolation? Explain about the frequency domain description of an
Interpolator.
[8M]
b) What do you mean by fractional sampling rate conversion? Explain with an example
of converting 48 kHz signal to 44.1 kHz signal using multi-stage fractional sampling
rate converter.
[8M]
7 a) Discuss in detail the Basic Architectural features of programmable DSP devices, [8M]
b) Discuss in detail the Pipeline Operation of TMS320C54XX Processors. [8M]
*****
R13
SET – 1
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING
(Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) Define discrete time signal and give examples. [3M]
b) What are the advantages FFT over DFT. [4M]
c) What are the different methods of evaluating inverse z transform? [3M]
d) Draw the indirect form realizations of FIR systems? [4M]
e) Derive transfer function of an Interpolator. [4M]
f) Discuss about the various sources of errors in the computation using DSP processor
implementations.
[4M]
PART -B
2 a) Discuss the frequency domain representation of linear time-invariant systems. [8M]
b) Determine the frequency response for the system given by
y(n)-3/4y(n-1)+1/8 y(n-2) = x(n)- x(n-1)[8M]
3 a) Find the DFT of the sequence x[n]={1,2,1,2,1,2,1,2} using decimation in time
algorithm.
[8M]
b) State and prove any four Properties of discrete Fourier series.
[8M]
4 a) With respect to Z transforms define the properties of ROC. [8M]
b) Obtain the parallel form realization for the IIR system described by the transfer
function
2 1
2 1
2 . 0 1 . 0 1
6 . 0 6 . 3 3
) (
? ?
? ?
? ?
? ?
?
z z
z z
z H .
[8M]
5 a) Convert the following analog transfer function in to digital using bilinear transform
and IIT methods with T=1sec
) 9 ( ) 3 (
) (
? ?
?
s s
s
s H
[8M]
b) Design a HPF of length 7 with cut off frequency of 2 rad/sec using Hamming
window..
[8M]
6 a) With necessary derivations explain the operation of sampling rate conversion by a
factor of I/D in both frequency and time domains.
[8M]
b) What are the applications of multirate digital signal processing?
[8M]
7 a) Explain the various pipeline programming models that are adapted in DSP
processors.
[8M]
b) Explain the Bus Architecture of DSP Processor. [8M]
*****
R13
SET – 2
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING
(Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) Determine whether the following system given by y(n) = log10[{x(n)}] is Casual or
not.
[3M]
b) What are the properties of convolution sum? [4M]
c) List the applications of Z ? transforms. [3M]
d) Compare Chebyshev Filter and Butterworth Filter. [4M]
e) Derive transfer function of Decimator. [4M]
f) What are the functional units present in the TMS320C54XX processor? [4M]
PART -B
2 a)Consider a signal ] [ ) ( ] [ n u a n x
n ?
? ? determine the spectrum X(w).
[8M]
b) Determine the response of Second order Discrete Time system governed by the
difference equation y(n)-2y(n-1)-3y(n-2)= x(n)+4x(n-1), n=0,when the input signal
is x(n)= 2
n
u(n), with initial conditions y(-2)=0,y(-1)=5.
[8M]
3 a) Explain the significance of FFT algorithms. Draw the basic butterfly diagram for
radix – 2 DIT-FFT.
[8M]
b) Find the DFT of x[n]={0.5,0.5,0.5,0.5,-1,-1,-1,-1} using decimation in time
algorithm.
[8M]
4 a)Find the Z-Transform
]. [ ]
4
[ )
3
1( ] [ n u n Sin n x
n
?
?
[8M
b)Realize
2 1
1 2
4 5 3
2 . 0 6 . 0 1
) (
? ?
? ?
? ?
? ?
?
z
z z
z H using Direct form I and Direct form II structures
[8M
5 a) Distinguish between ?maximally flat magnitude response? and ?equiripple magnitude
response? filters.
[8M
b) Explain the impulse invariance method of IIR filter design. [8M
6 a) Explain the concept of multi rate signal processing along with two applications of it [8M
b) Explain how sampling rate conversion of band pass signals can be achieved. [8M
7 a) Explain in detail the circular addressing mode and bit-reversed addressing mode. [8M
b) Explain Memory Access schemes in DSPs. [8M
*****

R13
SET – 3
Code No: RT32042
III B. Tech II Semester Regular/Supplementary Examinations, April -2018
DIGITAL SIGNAL PROCESSING
(Electronics and Communication Engineering)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B)2. Answering the question in Part-Ais compulsory
3. Answer any THREE Questions from Part-B
*****
PART ?A
1 a) Determine whether the system defined by y(n) = x(-n
2
-2) is time invariant or not. [3M]
b) What is FFT? How many multiplications and additions are required to compute N point
DFT using redix-2 FFT?
[4M]
c) State and prove Parsvel?s theorem. [4M]
d) Why FIR filters are always stable? [4M]
e) What is Down sampling? [3M]
f) Explain the role of on-chip peripherals for programmable digital signal processors. [4M]
PART -B
2 a) For each case determine the system is stable or causal
i) h(n)= sin (p n / 2) ii) h(n) = d(n) + sin p n iii) h(n) = 2 n u(-n)[10M]
b) Show that an LTI system can be described by its unit sample response. [6M]
3 a) State and prove convolution Properties of DFT. [8M]
b) Compute the DFT for the sequence (0.5,0.5,0.5,0.5,1,1,1,1) using DIF-FFT
[8M]
4 a)Find the Inverse Z-Transform of
2 | | ,
) 2 1 )( 1 (
3
1
1
) (
1 1
1
?
? ?
?
?
? ?
?
z
z z
z
z X
using partial fractions
method.
[8M
b) Obtain the cascade form realization for the recursive IIR system described by the
transfer function
2 1
2 1
2 . 0 1 . 0 1
6 . 0 6 . 3 3
) (
? ?
? ?
? ?
? ?
?
z z
z z
z H .
[8M
5 a) Explain the design procedure for IIR filters using Butterworth approximations. [8M
b) A low pass filter is to be designed with the following desired frequency response.
H
d(e
jw
) = e
-j2w
, -p/4 ? ? ? p/4
0, p/4 ? |?| ? p
Determine the filter coefficients h
d(n) if the window function is defined as
?(n) = 1, 0 ? n ? 4
0, otherwise
Also determine the frequency response H(e
jw
) of the designed filter.

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[8M
R13
SET – 4

Code No: RT32042

6 a) With the help of an example define Decimation and Interpolation operations in DSP.
[8M]
b) A signal, x(n), at a sampling frequency of 2.048 kHz is to be decimated by a factor of
32 to yield a signal at a sampling frequency of 64 Hz. The signal band of interest
extends from 0 to 30 Hz. The anti-aliasing digital filter should satisfy the following
specifications:
Pass band deviation 0.01 dB
Stop band deviation 80dB
Pass band 0-30Hz
Stop band 32-64 Hz
The signal components in the range from 30 to 32 Hz should be protected from
aliasing. Design a suitable two stage decimator.
[8M]
7 a) What is the difference between internal and external modes of clocking of
TMS320C54XX Processor?
[8M]
b) Explain different pipeline programming models that are adapted in DSP processors? [8M]
*****

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R13
SET – 4