Code.No: RR311102
RR SET-1
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD III B.TECH – I SEM SUPPLEMENTARY EXAMINATIONS, JUNE - 2010
DIGITAL SIGNAL PROCESSING (Common to BME, ECC)
Time: 3hours Max.Marks:80
Answer any FIVE questions
All questions carry equal marks
- - -
1.a) Define a signal. Give some examples of signals. What is signal processing?
Discuss the basic elements of the digital signal processing systems. List their advantages. b) Show that the even and odd parts of a real sequence are, respectively, even and odd sequences. [10+6]
2.a) A discrete system is given by following difference equation y(n)-5y(n-1) = x(n) + 4x(n-1) where x(n) is the input and y(n) is the output. Determine its magnitude and phase response as a function of frequency.
b) State and prove convolution theorem. [8+8]
3.a) What is "padding with Zeros"? Explain with an example. Explain the effect of padding a sequence of length N with L Zeros on frequency resolution.
b) Compute the DFT of the three point sequence x(n) = [2,1,2]. Using the same sequence, compute the 6 point DFT and compare the two DFTs. [8+8]
4.a) Explain the inverse FFT algorithm to compute inverse DFT of a sequence of size N=8.
Draw the flow graph for the same.
b) Compute the FFT for the sequence [1, 0, 0, 0, 0, 0, 0, 0 ] [8+8]
5.a) An LTI system is described by the equation y(n) = x(n)+0.81x(n-1)-0.81x(n- 2)-0.45y(n-2).
Determine the transfer function of the system. Sketch the poles and zeroes on the
Z-plane.
b) Define stable and unstable system & test the condition for stability of the first- order IIR
filter governed by the equation y(n)=x(n)+bx(n-1). [8+8]
6.a) Derive a relationship between complex variable S used in Laplace Transform (for analog filters) and complex variable Z used in Z-transform (for digital filters)
b) Discuss the various properties of Bilinear transformation and derive an expression for bilinear transformation. [6+10]
7.a) What is the principle of designing FIR filters using windows.
b) Using a rectangular window technique design a low pass filter with pass band gain of unity, cut-off frequency of 1kHz and working at a sampling frequency of 5 kHz. The length of the impulse response should be 7. [6+10]
8.a) How is a speech signal generated?
b) Give the model of human speech production system and explain. [6+10]
--ooOoo--
Code.No: RR311102
RR SET-2
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD III B.TECH – I SEM SUPPLEMENTARY EXAMINATIONS, JUNE - 2010
DIGITAL SIGNAL PROCESSING (Common to BME, ECC)
Time: 3hours Max.Marks:80
Answer any FIVE questions
All questions carry equal marks
- - -
1.a) What is "padding with Zeros"? Explain with an example. Explain the effect of padding a sequence of length N with L Zeros on frequency resolution.
b) Compute the DFT of the three point sequence x(n) = [2,1,2]. Using the same sequence, compute the 6 point DFT and compare the two DFTs. [8+8]
2.a) Explain the inverse FFT algorithm to compute inverse DFT of a sequence of size N=8.
Draw the flow graph for the same.
b) Compute the FFT for the sequence [1, 0, 0, 0, 0, 0, 0, 0 ] [8+8]
3.a) An LTI system is described by the equation y(n) = x(n)+0.81x(n-1)-0.81x(n- 2)-0.45y(n-2).
Determine the transfer function of the system. Sketch the poles and zeroes on the
Z-plane.
b) Define stable and unstable system & test the condition for stability of the first- order IIR
filter governed by the equation y(n)=x(n)+bx(n-1). [8+8]
4.a) Derive a relationship between complex variable S used in Laplace Transform (for analog filters) and complex variable Z used in Z-transform (for digital filters)
b) Discuss the various properties of Bilinear transformation and derive an expression for bilinear transformation. [6+10]
5.a) What is the principle of designing FIR filters using windows.
b) Using a rectangular window technique design a low pass filter with pass band gain of unity, cut-off frequency of 1kHz and working at a sampling frequency of 5 kHz. The length of the impulse response should be 7. [6+10]
6.a) How is a speech signal generated?
b) Give the model of human speech production system and explain. [6+10]
7.a) Define a signal. Give some examples of signals. What is signal processing?
Discuss the basic elements of the digital signal processing systems. List their advantages. b) Show that the even and odd parts of a real sequence are, respectively, even and odd sequences. [10+6]
8.a) A discrete system is given by following difference equation y(n)-5y(n-1) = x(n) + 4x(n-1) where x(n) is the input and y(n) is the output. Determine its magnitude and phase response as a function of frequency.
b) State and prove convolution theorem. [8+8]
--ooOoo--
Code.No: RR311102
RR SET-3
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD III B.TECH – I SEM SUPPLEMENTARY EXAMINATIONS, JUNE - 2010
DIGITAL SIGNAL PROCESSING (Common to BME, ECC)
Time: 3hours Max.Marks:80
Answer any FIVE questions
All questions carry equal marks
- - -
1.a) An LTI system is described by the equation y(n) = x(n)+0.81x(n-1)-0.81x(n- 2)-0.45y(n-2).
Determine the transfer function of the system. Sketch the poles and zeroes on the
Z-plane.
b) Define stable and unstable system & test the condition for stability of the first- order IIR
filter governed by the equation y(n)=x(n)+bx(n-1). [8+8]
2.a) Derive a relationship between complex variable S used in Laplace Transform (for analog filters) and complex variable Z used in Z-transform (for digital filters)
b) Discuss the various properties of Bilinear transformation and derive an expression for bilinear transformation. [6+10]
3.a) What is the principle of designing FIR filters using windows.
b) Using a rectangular window technique design a low pass filter with pass band gain of unity, cut-off frequency of 1kHz and working at a sampling frequency of 5 kHz. The length of the impulse response should be 7. [6+10]
4.a) How is a speech signal generated?
b) Give the model of human speech production system and explain. [6+10]
5.a) Define a signal. Give some examples of signals. What is signal processing?
Discuss the basic elements of the digital signal processing systems. List their advantages. b) Show that the even and odd parts of a real sequence are, respectively, even and odd sequences. [10+6]
6.a) A discrete system is given by following difference equation y(n)-5y(n-1) = x(n) + 4x(n-1) where x(n) is the input and y(n) is the output. Determine its magnitude and phase response as a function of frequency.
b) State and prove convolution theorem. [8+8]
7.a) What is "padding with Zeros"? Explain with an example. Explain the effect of padding a sequence of length N with L Zeros on frequency resolution.
b) Compute the DFT of the three point sequence x(n) = [2,1,2]. Using the same sequence, compute the 6 point DFT and compare the two DFTs. [8+8]
8.a) Explain the inverse FFT algorithm to compute inverse DFT of a sequence of size N=8.
Draw the flow graph for the same.
b) Compute the FFT for the sequence [1, 0, 0, 0, 0, 0, 0, 0 ] [8+8]
--ooOoo--
Code.No: RR311102
RR SET-4
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD III B.TECH – I SEM SUPPLEMENTARY EXAMINATIONS, JUNE - 2010
DIGITAL SIGNAL PROCESSING (Common to BME, ECC)
Time: 3hours Max.Marks:80
Answer any FIVE questions
All questions carry equal marks
- - -
1.a) What is the principle of designing FIR filters using windows.
b) Using a rectangular window technique design a low pass filter with pass band gain of unity, cut-off frequency of 1kHz and working at a sampling frequency of 5 kHz. The length of the impulse response should be 7. [6+10]
2.a) How is a speech signal generated?
b) Give the model of human speech production system and explain. [6+10]
3.a) Define a signal. Give some examples of signals. What is signal processing?
Discuss the basic elements of the digital signal processing systems. List their advantages. b) Show that the even and odd parts of a real sequence are, respectively, even and odd sequences. [10+6]
4.a) A discrete system is given by following difference equation y(n)-5y(n-1) = x(n) + 4x(n-1) where x(n) is the input and y(n) is the output. Determine its magnitude and phase response as a function of frequency.
b) State and prove convolution theorem. [8+8]
5.a) What is "padding with Zeros"? Explain with an example. Explain the effect of padding a sequence of length N with L Zeros on frequency resolution.
b) Compute the DFT of the three point sequence x(n) = [2,1,2]. Using the same sequence, compute the 6 point DFT and compare the two DFTs. [8+8]
6.a) Explain the inverse FFT algorithm to compute inverse DFT of a sequence of size N=8.
Draw the flow graph for the same.
b) Compute the FFT for the sequence [1, 0, 0, 0, 0, 0, 0, 0 ] [8+8]
7.a) An LTI system is described by the equation y(n) = x(n)+0.81x(n-1)-0.81x(n- 2)-0.45y(n-2).
Determine the transfer function of the system. Sketch the poles and zeroes on the
Z-plane.
b) Define stable and unstable system & test the condition for stability of the first- order IIR
filter governed by the equation y(n)=x(n)+bx(n-1). [8+8]
8.a) Derive a relationship between complex variable S used in Laplace Transform (for analog filters) and complex variable Z used in Z-transform (for digital filters)
b) Discuss the various properties of Bilinear transformation and derive an expression for bilinear transformation. [6+10]
--ooOoo--
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