Categories: Fourth Year First Semester (4-1)

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) 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.

1 of 2

[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]

*****

2 of 2

R13

SET – 4

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