SPPU Computer Engineering (Semester 6)
Digital Signal Processing Applications
May 2017
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


Solve any one question from Q.1(a,b) &Q.2(a,b)
1(a) State the sampling theorem and explain in brief the coding process of ADC.
5 M
1(b) Obtain the Z Transform (ZT) of a (DT) signal x(n) = dn u(-n-1) Sketch the ROC.
5 M

2(a) A CT signal having frequency 50 Hz is sampled at a rate of 1200 samples /sec. Obtain
i) Number of samples per cycle.
ii) Digital / Discrete frequency f and ω
iii) Minimum sampling rate to avoid aliasing effect.
iv) Period of a DT signal.
5 M
2(b) State and prove the time shifting property of Fourier Transform (FT). Define it for DFT.
5 M

Solve any one question from Q.3(a,b) &Q.4(a,b)
3(a) Compare Linear Convolution with Circular Convolution.
5 M
3(b) Define N point DFT by means of twiddle factor and obtain the twiddle factors for 4 point DFT.
5 M

4(a) Obtain the computational complexity of Radix-2 DIF FFT Algorithm.
5 M
4(b) Define the system, function and obtain it for the given system described as- \[y(n)-\frac{5}{6}y(n-1)+\frac{1}{6}y\left ( n-2 \right )=x(n)-\frac{1}{2}x(n-1)\]
5 M

Solve any one question from Q.5(a,b) &Q.6(a,b)
5(a) Derive the Direct Form-II IIR filter structure from the system function H(Z) and realize it using multipliers, adders and delay elements.
9 M
5(b) Obtain and realize linear phase FIR filter structure having impulse reponse \[h(n)=\delta (n)+\frac{1}{2}\delta (n-1)-\frac{1}{4}\delta \left ( n-2 \right )+\frac{1}{2}\delta \left ( n-3 \right )+\delta (n-4)\]
9 M

6(a) Obtain and draw the cascade form realization for IIR filter having transfer function\[H(Z)=\frac{5Z(Z+0.4)}{(Z-0.2)(Z-0.6)}\]
9 M
6(b) Represent the mathematical from of Nth order FIR filte by means of system function H(Z). Draw the Direct Form filter structure and determine the number of mutipliers, adders and delay elements required to realize the filter.
9 M

Solve any one question from Q.7(a,b) &Q.8(a,b)
7(a) Compare conventional Microprocessor with DSP Processor architecture. Draw and explain basic building blocks of DSP processor.
8 M
7(b) Draw and explain the SIMD (Single Instruction Multiple Data) architecture of SHARC DSP processor.
8 M

8(a) Explain the features of SHARC DSP processor. List the number of DAGs with its capabilities and memory pointer registers supported by DAG.
8 M
8(b) What is OMAP? Explain the features and applications of OMAP in brief.
8 M

Solve any one question from Q.9(a,b) &Q.10(a,b)
9(a) What is Companding? What is its significance in audio processing? What is the impact of data rate on sound quality?
8 M
9(b) With mathamatical form, explain any two gray level transforms used for image enhancement.
8 M

10(a) Draw and explain Human Speech Model in speech synthesis and recognition.
8 M
10(b) How digital image is represented by means of digital computer? How gray scale image is different than colour image? What is Histogram of an image?
8 M



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