Answer any one question from Q1 and Q2
1 (a)
Define two standard signals u(n) and δ(n). Show that \[u (n)= \sum^\infty_{k=0} \delta (n-k) \] by means of convolution operation.
5 M
1 (b)
State Periodicity and Symmetry property of DFT. How can we compute N point Circular Convolution using DFT and IDFT?
5 M
2 (a)
Perform following circular shifting operations on a given DT signal x(n)={1,2,3,4} with N=5 and N=6
i) x((n-3))N
ii) x((n+2))N
i) x((n-3))N
ii) x((n+2))N
5 M
2 (b)
Discuss the form of an Nth order difference equation used to describe a DT system. How can it be expressed as an FIR and IIR system?
5 M
Answer any one question from Q3 and Q4
3 (a)
Derive the first stage of DIT FFT algorithm. How the computational efficiency is improved in FFT algorithm?
5 M
3 (b)
Obtain the Z Transform of sequence x(n) = anu(-n-1) and sketch the ROC.
5 M
4 (a)
How can we compute Linear Convolution using N point Circular Convolution?
5 M
4 (b)
Define system function H(z). Obtain it from the Nth order difference equation and express it for All Pole and All Zero System.
5 M
Answer any one question from Q5 and Q6
5 (a)
What are filter structures? Explain how the Direct and Cascade form of FIR filters are obtained and realized from the system function H(Z).
9 M
5 (b)
A DT System described by means of system function H(z) is given by- \[ H(Z)= 3+\dfrac {4Z}{Z-1} - \dfrac {2}{Z-1/4} \] obtain and Draw Direct Form-I and Direct Form-II IIR filter structure.
9 M
6 (a)
Obtain and realize Linear Phase FIR filter structure for a DT system. \[ H(Z) = \left ( 1 + \dfrac {1}{2} Z^{-1}+ Z^{-2} \right )\left ( 1+ \dfrac {1}{4}Z^{-1}+Z^{-2} \right ) \] What are the advantages of this filter structure?
9 M
6 (b)
Derive the Direct Form-II IIR filter structure from system function H(Z) and represent it using multipliers, adders and delay elements.
9 M
Answer any one question from Q7 and Q8
7 (a)
Draw the block diagram of basic DSP processor. What are the common features of DSP processor?
8 M
7 (b)
Explain how SHARC DSP processor supports the multiprocessing capabilities. Give details about different types of ports used for multiprocessing.
8 M
8 (a)
What is OMAP? Explain the Hardware architecture of OMAP in brief.
8 M
8 (b)
Compare between Harvard and Super Harvard Architecture of DSP Processor. List the number of DAGs and supporting memory pointer registers of SHARC DSP Processor.
8 M
Answer any one question from Q9 and Q10
9 (a)
Explain the following terms associated with audio processing:
i) Timbre
ii) Loudness
iii) Pitch
i) Timbre
ii) Loudness
iii) Pitch
8 M
9 (b)
What is image enhancement in digital image processing? Explain any two gray level transforms used for image enhancement.
8 M
10 (a)
What do you mean by Speech Synthesis and Recognition? Draw and explain Human Speech Model in brief.
8 M
10 (b)
Explain the operation of CCD (Charge Coupled Device) used in electronic cameras.
8 M
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