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[4265] 685

M.E. (E&Tc) (Signal Processing) Examination, 2012(2008 Course)

STATISTICAL SIGNAL PROCESSING

Time : 3 Hours Max. Marks : 100

Instructions : 1) Answer any 3 questions from each Section.2) Answers to the two Sections should be written in separate

books.3) Neat diagrams must be drawn wherever necessary.4) Black figures to the right indicate full marks.5) Assume suitable data, if necessary.

SECTION I

1. a) Differentiate between Pades Method and Pronys Method with the help ofexamples. 6

b) A third order all-pole Pades approximation to a signal x(n) has been found to

be 321 z3zz211)z(H +++

= . What information about x(n) can be obtained

from this model ? 6

c) What is MYWE for ARMA (p, q) model ? How is it modified for AR(p)s MA(q)processes ? 6

2. a) Given the signal x(n) consisting of a single pulse of length N, i.e.

=

=else0

1N...,1,0n;1)n(x

Use Pronys method to find x(n) as unit sample response of a linearshift-invariant filter having one pole and one zero. 8

b) Explain Levinson Durbin recursion. How is it modified to step-down recursion ? 8

3. a) Given that rx(0) = 1, and the first three reflection coefficients are 1 = 0.5,2 = 0.5 and 3 = 0.25. Find the corresponding sequence rx(1), rx(2) and rx(3). 8

b) State the important properties of the reflection coefficient sequence that isgenerated by Levinson Durbin recursion. Explain the autocorrelation propertyin detail. 8

SeatNo.

P.T.O.

[4265] 685 -2-

4. a) With the help of lattice filter structure explain Schur Recursion. Give its application. 8

b) Given that autocorrelation sequence rx(0) = 1, rx(1) = 0.8, rx(2) = 0.5 andrx(3) = 0.1. Using Levinson Durbin Algorithm find the reflection coefficients

j , the model parameters aj(k) and the modeling error Ej, for j = 1, 2, 3. 8

SECTION II

5. a) Enlist the different applications of Wiener Filter. Explain FIR Wiener Filteringapplication in detail. 10

b) Let d(n) be an AR(1) process with an autocorrelation sequence rd(k) = |k| .

d(n) is observed in the presence of uncorrelated white noise v(n), that has avariance of .2v Design a first order FIR filter (Wiener) to reduce the noise inx(n), when 8.0= and .1

2v = 8

6. a) With the help of a suitable block diagram explain Wiener filter application fornoise cancellation. 8

b) What are limitations of causal Wiener Filter ? How are they overcome usingKalman Filter ? 8

7. a) What are the different methods for spectrum classification ? ExplainPeriodogram in detail. 8

b) Discuss Periodogram properties in detail. 8

8. a) Differentiate between Bartletts method and Welchs method. 8

b) Bartletts method is used to estimate the power spectrum of a process from asequence of N = 2000 samples.

i) What is the minimum Length L that may be used for each sequence if aresolution f = 0.005 is needed ?

ii) Determine the minimum number of data samples N that are necessary toachieve a resolution of f = 0.005 and a quality factor that is five timeslarger than that of the periodogram. 8

B/II/12/

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P.T.O.

[4265] 69

M.E. (Mechanical) (Design Engineering) Examination, 2012PROCESS EQUIPMENT DESIGN

(2002 Course) (Elective I)



books.3) Neat diagrams must be drawn wherever necessary.4) Black figures to the right indicate full marks.5) Assume suitable data, if necessary.

SECTION I

1. a) Explain various types of roofs used for storage vessels. 6

b) Discuss the main design considerations of process equipment. 6

c) Explain design of pressure vessel subjected to external pressure. 4

2. a) What type of stresses are induced in the column shell ? How will you accountfor them in the design of shell ? 6

b) Calculate the thickness of torisperical head for a vessel having a internaldiameter of 2500 mm. Design pressure is 4.5 kg/cm2. Knuckle radius andCrown radius are 20 mm and 275 mm. Permissible stress is 1195 kg/mm2,welded joint efficiency is 80%. 6

c) Explain design of thick walled high pressure vessel. 4

3. a) Explain the functions of evaporators, crystallisers and dryers. Giveclassification of each in brief. 6

b) Explain in detailed design procedure for design of cylindrical storage vesselwith cone roof. 6

c) What are the design consideration in skirt support design ? 4

SeatNo.

[4265] 69

4. a) Describe the working of a cyclone separator. State its function and field ofapplication. 6

b) Name various standards used in Process Equipment Design. 4

c) Explain what are the various methods for mixing solids. 6

5. Write short note on the following (any 3) : 18

a) Floating roof type storage tank

b) Protective coatings and applications

c) Reinforcement of nozzles

d) Centrifuges

e) Materials for high and low pressure vessels.

SECTION II

6. a) Explain in detail main design consideration in design of any one type of heatexchanger. 10

b) Explain in brief different types of baffles used in heat exchanger. 6

7. a) What are the thermal consideration in the design of fired vessels ? 8

b) Explain the sources of hazards in process industries. Also suggest suitablemeasures. 8

8. a) What is power curve ? Explain use of power curves in design of agitator. 8

b) What are distillation columns ? Explain following terms related to it :i) Bottom productii) Reboileriii) Stripping. 8

9. a) Explain in detail any one metering pump. 8

b) Explain in brief integral, fabricated and formed nozzles. 8

10. Write short note on the following (any three) : 18

i) Design of saddle support.

ii) Testing and inspection of pressure vessels.

iii) Process flow diagrams.

iv) Optimisation techniques.

B/II/12/

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P.T.O.

[4265] 73

M.E. (Mechanical-Design Engineering) Examination, 2012 (2002 Course)TRIBOLOGY(Elective II)



books.3) Neat diagrams must be drawn wherever necessary.4) Black figures to the right indicate full marks.5) Your answers will be valued as a whole.6) Assume suitable data, if necessary.

SECTION I

1. a) Give modified adhesion theory of friction. 12

b) List factors affecting erosive wear. 4

2. a) Explain any four tribological properties of lubricants. 8

b) Explain ploughing in case of wear in detail. 8

3. a) Derive Petroffs equation for power loss in lightly loaded infinitely long bearings.Also give assumptions made. 10

b) With the help of Stribeck Curve explain different lubrication regin in detail. 6

4. a) Obtain an equation of pressure distribution in an infinitely short journal bearing. 8

b) Derive the Reynolds equation in 2D for journal bearings. State assumptionsmade. 10

5. a) Obtain an equation for pressure distribution and load carrying capacity in ahydrostatic step bearing. 12

b) What are porous bearings ? Give their applications. 4

SeatNo.

[4265] 73

SECTION II

6. a) A hydrostatic thrust bearing has following data :i) Supply pressure = 5 MPa

ii) Shaft speed = 1000 r.p.m.iii) Shaft dia = 500 mmiv) Recess dia = 300 mmv) Viscosity of lubricant = 35 CPvi) Specific gravity of lubricant = 0.86

vii) Specific heat of lub. = 2 kJ/Kg C

Find :i) Load carrying capacityii) Optimum oil-film thicknessiii) Flow rate of lubricant

iv) Total power lossv) Temp. rise 10

b) Explain the lubrication in the piston pin. 8

7. a) Obtain the equation for max. pressure and average pressure when arectangular plate approaches a plane. 10

b) Explain two applications of squeeze film lubrication in industrial environment. 6

8. a) Obtain Ertel-Grubin equation for elastohydrodynamic lubrication. 12

b) Explain pressure viscosity terms in Reynolds equation. 4

9. a) What are compressibility numbers in gas bearings ? Give one of such numbers. 8

b) Explain construction and working of gas lubricated hydrostatic journal brgwith one of its applications. 8

10. Write short notes on any two below : 16

a) Tilting pad bearings (Gas)

b) Tribological aspects of wheel on rail contact.

c) Tribological aspects in metal working processes.

B/II/12/

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