O6EC7T

USN

Seventh Semester B.E. Degree Examination, Dec.2013 lJan.20l4

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Time: 3 hrs.

Max. Mark"$100
Note: Answer ...
06EC71

7 a.
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Explain different forwarding techniques used in network layer.
Explain the distance vector routing for th...
IOECITET2

USN

Seventh Semester B.E. Degree Examination, Dec.2013 tJan.2ll4
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Optical Fiber Gommunication

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06EC73

USN

Seventh Semester B.E. Degree Examination, Dec.20L3 tJan.2ol,A

Power Electronics
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Time: 3 hrs.
No...
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4 b'

Explain the working of dual converter with a neat circuit diagram. Also obtain
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r0EC74

USN

Seventh Semester B.E. Degree Examination, Dec.2013 lJan.201,4

Embedded System Design
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Time:3 hrs.
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loE C74

6a,
b.

c.

Explain any 6 functions of an operating system in brief.
(06 Marks)
Describe virtual model and highL ...
068,C7 4

USN

Seventh Semester B.E. Degree Examination, Dec. 20l3lJan.2Ol4

DSP Algorithms and

Architecture

Time: 3 hrs...
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068C762

USN

Seventh Semester B.E. Degree Examination, Dec.2013

Real

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06F,,C7s6

USN

Seventh Semester B.E. Degree Examination, Dec.2013/Jan.2ol4

lmage Processing
Max. Marks:100

Time: 3 hrs....
068C756

5 b.
c.

Using the second derivative, develop a Laplacian mask for image sharpening. (06 Marks)
Exptrain in brief...
06ML753

USN

Seventh Semester B.E. Degree Examination, Dec.2013 lJan.2ol4

Linear Algebra
Time: 3 hrs.

Max. Marks:100
No...
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7th Semester Electronic and Communication Engineering (2013-December) Question Papers

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7th Semester Electronic and Communication Engineering (2013-December) Question Papers

  1. 1. O6EC7T USN Seventh Semester B.E. Degree Examination, Dec.2013 lJan.20l4 ,,: Time: 3 hrs. Max. Mark"$100 Note: Answer FIVEfull questions, selecting at least TWO questions from each part. ai o o a PART _ A I a. b. c. 2a. o o With la:yer diagram, explain th. ,.rpo.rribFyof each layer in oSI model, (10 Marks) How daiatransfer is achieved using CM and CMIS in CATV channel? (06 Marks) Calculate fur minimum time required to download one million bits of information using each of the fuUOwing techniques: i) V.32 modem ii) V.32 bis modem iii) V.90 modem rl ,, . (04 Marks) What are the different types of framing? Explain bit stuffing with an example. (06 Marks) With design and sliding windo* diagrams, explain Go back - N ARQ protocol. (10 Marks) In a stop and wait ARQ system, the bandwidth-delay product is 20000 bits and 1 bit takes 20 ms to make a round trip. What is the B.W. of the line? If the protocol that can send 10 frames are 1200 bits in length then what is the percentage of utilizationof the link?10+ Marks) 3q 69 5 ool eca .-I .= c b?p otr -c o> o b. a-) c. 1,1 ;;I oc) 3a. 5Ai b. c. d. ,6 .r? 6) One hundred stations on a slotted ALOHA network share 1 Mbps channel. If frames are 1000 bits long, find the throughput if each station is sending 5 frames/second; (05 Marks) With flow diagram, explain.the procedure for CSMA/CD protocol. (06 Marks) Explain polling method of controlled access of the channel. (04 Marks) Describe the encoding and decoding scheme in CDMA techniques lor channel sharing. :'::::"""""' OE :9 o'' o_i ,i a= 4 a. b. c. .9. 6,i C'!o =-6 o.r >'t tr> =o a- t< * ...l I ,, "' ", b. 6a. b. 0) o o c. (05 Marks) Explain the frame formats of IEEE 802.3. What are the minimurn and maximum frame lengths? What are the characteristics of fast Ethernet? Desoribe the address mechanism of IEEE 802.11. - ,,-',,' 5 t-,+l Wlrt is transparent bridge? bo" cbo (J= =6 90 , "',, " "' PART (10 Marks) (04 Marks) (06 Marks) -B Explain the process of learning in transparent bridge. (10 Marks) What is VLAN? Explain in detail. What are the advantages of (10 Marks) VLAN? What is classful addressing in IPV4? What is its mask? Explain. Find the class of each address: i) ii) ii, 14.23.120.8 252.5.1s.1 1 1 11000001 10000011 00011011 11111111 iv) 00000001 00001011 00001011 11101111 What is network address translation (NAT)? Give the NAT imp I of2 (06 Marks)
  2. 2. 06EC71 7 a. b. Explain different forwarding techniques used in network layer. Explain the distance vector routing for the graph shown in Fig.eZ(U). (10 Marks) r =% f'.::.::':::j..,. E-; u) fu_ .4,N. Fig.Q7(b) Topology ofNetwork of Network "Lffi= 'f.,r.=-* * .9" .:;':a. - ,; f ** .* E (10 Marks) % Lfp, g &-- t .*".1* 8 a. What ar6@Oitterent TCP services and features? Explain them" r*,,,q=* b. Describe l-lb.F'.-tser datagram format. # =;'i c. What are the afrytions of multicast routing? F*= 'lee (10 Marks) (06 Marks) ::: 6U t*i1*=_ ''.=,: {'{<{<*- " iol ") rvlarrrsy ,t {":=.1 * " ;;; th*' ::: al Ma: *E 1L 'i." .,i.4 -'s1S -w. $ -:' * ! . ffi'} ;:::E ;4i*. s= ,.,,*i*3 Lh ; "!j d%, ''-t =,.''";t*-i ,,r h S- ,- r's ;i:--M w i::::.:: $ -M d i::::: = 4-dd ,q 2 of2
  3. 3. IOECITET2 USN Seventh Semester B.E. Degree Examination, Dec.2013 tJan.2ll4 ,.., Optical Fiber Gommunication . i{=.'fr[me: 3 "'.,. ni hrs. ,t,,* ="'".,,t'",, g Max. Marks:ioo selecting Note: Answer FIVEfull questions, at least TWO questionsfrom eoch ..= .H :: ,..'',,,,,, part. , PART _ A .'.. , ,,"..,,,,' ,.'",... I E 1 a. _., .. block diagram of an optical fiber transmission link Desq'ribe and explain:the function of each E S E g .$i 6-: gi element in link. (08 Marks) b. Explain*fut'is meant by graded index optical fiber using simpte.rfi*nlory concept indicate c. the major advantages of this type of fiber with regard to multimodopropagation. loo naarrs; A Graded index fiber with parabolic refractivelndex f,urnr: t.+g urjn, :1.46 if core radius is 20 pm. Fhd,the number of modes at 1300nm and lf 50 (06 Marks) nm. Cgu -h ..' -o -' Describe Rayleigh ou4lllrldr.rB [r ulJtruar fiber. (06 Marks) (ub .H+ 2 a. uwou ruv roJ rvrEu Scatti"6ing in optical lluEr . i ,:, ? b. Briefly explain intramodal and intermodaldispersion. (06 Marks) $ E / d-'rl .) F Pp -,,t'tt'z'', ^1a2. ':::t::' ES c. Glass fiber exhibits materiar dispersion gir.; by, r'[ ;H of 0.025. Determine material .E- if4: ':"',,,1:1f tr'tr o> dispersion parameter at a wavelength of 0,85 pm and estimate rms pulse broadening / km for good LED source with an rms spee+@id{h of 20 nm at this (08 Marks) A ;€ 9 waveiength. I 3 a. ;€ Sketch and explain Fabry p.rq, ,.ronutor cavity of Discuss rhe operation of ,itb.n RApD *itn laser. (07 Marks) b. n.ltad;;;. eTMarks) c. Consider a photodiod,e;wi,ttri quantum efficiency 75Ya, when photon of energy 1.6x10-roJ, photodiode with i5%r-, 1.6x 10-te J. $? :E ; ! are incident on the surface then calculate operating wavelength and it 2.6 pA photo current through detector.coSr€sponding, determine incideni optical p-ower when deiector is operated "''^-*'-l-r *^' svrvvrvr ^ ----- o' ^* sarie wavebl$h.'--r at -^*^ ,..^-.^r^--.L lr;;;; t aS i 5 * E ag. S Eo 8" 4 a. Describg with aid of suitable diagram, three common techniqu" ,3tid6r,-"chanical splicing of optical fibers. (06 Marks) lrrr.rt, , b. WitEaiar of^ simple sketches, outline major categories of fiber couplers. Wrltt d CI6 Marks) "oupt..r. c. A. GaAs optical source that has a refractive index of 3.6 is closelycoupled to qtrp index fiber .lil t aAs optlcal retracttve rndex closely coupled ' I 6E < O g U* E -E i b =ai ir* . 'ich has a core refractive index of 1.465, if the source size is smaller than'fibercore, and uqDs vvrw rvuovlrvv lllLte. Jr r.'ruJ, rr ttlg suututr slzg rs slllallcr tnan nDcFcorg, ano .,"".::. "".Wn -^'o ^: *tWhatisthepowerlossindecibe1sfromsourceintofiber?@X,q#,"t'1 =v EE ; > : nrr! rI PARr-B //-+-f Ll /{9"{ _orJh' -.l c.i 5 a. Briefly d,iscuss the possible sources of noise in optical fiber receiffi..*,q[d )g,f;nnu.rrl b. Discuss how the eye diagram is powerful measurement tool fod&stil[gttft da/#dandling .g capability in digital transmission system. 2. oL*- /r,6ilrvra*j o{ Da E n: E E c. 'E 6 a. b. c. e n write a note on analog receivers. ^ Wt06 Explain the multi AM techniques employed in broadband analog application. Explain : (i) Microwave photonics (ii) RF over fiber. Explain in brief : (i) Short wavelength band (ii) Chirping. I of2 Marks) (0E Nrarks) (06 Marks) (06 Marks)
  4. 4. 2 of2
  5. 5. 06EC73 USN Seventh Semester B.E. Degree Examination, Dec.20L3 tJan.2ol,A Power Electronics =, =.'1.,. Time: 3 hrs. Note: Answer FIVEfull questions, selecting at least TWO questionsfrom each part. a .:a: ,i:. 1::_rj;i.r:: .. l.r.::: _i Max. Marks:10O!'-,,, _il ,h 't:' 11 ,t;,r,.,,,,i;.*,,t1 . r.dr .g PARr_A % fi I a. Eyl"]ain control characteristic features of the following power devices: ( ifSqB.. ii) MCT iii) IGBT (r2 Marks) 3 u lpfueperipheral effects of converters. ! .,.._''*, 1o+ lvtarhsy I *"" c. Th; #t#; j;;"ii9, temperature of a transistor is T.1 :..-11f0'c and the ambient i temperatur6,isla:25oC. If the thermal impedance are &c :O,$,?.bW, &A: 0.1oC/W and g l(sa : O.S"Ci*;tplculate: Es '.r ! B'= ;i the maximum p,ower dissipation o'= ii) i5 E Jh tempefurre. The case ur) Also draw the l,' th6r aT u ! equivalent circuit of a '-,,1 transistor. (04 Marks) Lal a. Explain (06 Marks) iB' 2 b. Explain switching charactetistics of BJT with models. E working with basic-$bflrtur. of OexitdtiOn type n and p channel MOSFETs with Jr---,.f"r"rr..totran-sfercharacteristie." *""' (0gMarks) tg c. The base drive circuit in Fig.e2f.)=fruiqt. : 100 V, %, :2.ty, %,: 0.9V, VBE : 0.7y, EI o / o VB: 1<r and B: 1z n^l^--t^r^- 15V ^.^l - 16. Calculate: ;= € i) The collector current withMeldmping -= H+ do vr vrurlrvr v[q*!y}}r6 vvrlqSw g € utsi;. t iil The collector-emitter c$nnu,e voltage Vi". iii) The collector current wglh clamping. E y E€ # #r F^ == &"8 ;5 bE 3 A f; iE iE g ry *t =() H f . ut 5 5; 4 i"E 2 Fig.Q2(c) Fig.Q2(c) (06 Marks) a. Elpltin turn-on mechanism of a thyristor using two transistor ana{5gy= and derive an rcx@ssion for the anode current in terms of transistor parameters. .. (0s Marks) the help of neat circuit diagram and waveforms, explain the UJT-triggeri5rg circuit. 9,-.'With ': Also mention its advantages over RC triggering. rio Marks) c. If the latching current for SCR iruerted in between a dc voltage source of 100 V and an inductance load L:0.1 H is 4 mA. Calculate the minimum width vr gate pulse'cfubnt - - '" rrr vYrsrrr of bqlw yqrr ,,1-^-l required +^ turn-on to :------- ^,- SCR. -^--^ (02 Marmi== a. If a converter shown in Fig.Q4(a) has a purely resistive load of R and the delay angle is .:_r .- a: xl2. Determine: i) 11, ii) Form factor, iii) Ripple factor, iv) TUF, v) PIV ofthyristor. {, E11 o.td -E ,4,, A *r3 Lcon r;too$+:-a# Fig.Qa(a) I of2
  6. 6. k 4 b' Explain the working of dual converter with a neat circuit diagram. Also obtain waveform for voltage generating circulating current. (10 Marks) PART-B '':':j *oi;rr,,.. " -- .:- 1 r 5 ?. MenJion drawbacks of self commutation (any three). (03 Maffir, ... b. Explain the operation of complementary commutation with neat circuit and wavefor*r.rffi' ':i'" ,. -' (rlMarks) , Find theequation of c for design consideration. *dy.. value of C for '";;'+c' the commutation circuit shown in Fig.e5(c). Given Ir.*. :t0 A, ton ""','"'"', : "- .::::'.,|'' ru D4s )U v. )u7o f'of SCRI : 30 psec, E4. : 50 V. Assume 50oZ tolerance on turn-off time. :.t,ir-^, "'...,,ri ,''., ., tL/ ' t': = . ':rN I * LVt lrnll I i I I Iil. I t,r'I u,.;.,.*'1.-U:--l-.,:;',r,,,:.:i lr. ttA-l .""';.--r,-,,,,.€)t 6 a' b. f o.,,u' I tt Fig.Q5(c) " +, .j"'r' (05 Marks) Explain the working of sirigfu phase bidirectional AC voltage controller for RL load considering discontinuous current flow tlrough load with a nJat circuit and waveforms. Derive equation for vor,or. (r0 Marks) ,ii:::::::: :: An ac voltage controller has a resistive igad of 10 e and %*": I20y,60 Hz. The thyristors switch is on for n 25 cycles apd off for m 75 cycles. Determirre: i) Vo.*,, ii) load power, iii) input po-ei factor, iv) Ir"_, (10 Marks) .v) R: ; : Ir*, 7 a' Explain the principle cf operation of step-down with a neat circuit and waveform. Derive the equationl&t %"" , %-,, input power "n"fi$;ti effective resistance. r"nT (10 Marks) b. Find the efficiency if the load resistance R i0 Q,lnput supply dc voltage is 220, duty cycle is 50% and chopper voltage drop V.6 :2y. (Converter is ,t.p_ao*r, choiper). f-rl'. -. (06Marks) Draw-1.]i..:'oircuit diagram and waveforms for step-up chopper. (04 Marks) ''ttt''" current source inverter circuit with .::..,.!j. (10 Marks) .E"xqpin b' .,4"{10 full bridge inverter has resistive load R:2.4 e the dc input -r ---voltpge - * *"YI:l : -i'-i,,: c. 8 ? waveform. e Determine: ' .," il ii) iii) RMS output voltage at fundamental frequency. The output power. The average and peak current of each transistor. n;":';; n't":.. '::i : 'irll :: ::.' '':':::: (10 Mrir[q),,. ! .: :::.... {<**!kx 2 of2 .,ji::,: -|F
  7. 7. r0EC74 USN Seventh Semester B.E. Degree Examination, Dec.2013 lJan.201,4 Embedded System Design I Time:3 hrs. :l qi o o a , , PART-A '::i'.,,'""' 1 a. Max' Marks:100 Note: Answer FrvEfull questions, selecting at least TWO questionsfrom each part. Explain: i) Embedded system, ii) Hard RTS, iii) Watch Dog Timer, with an example for (06 Marks) eachl.".,, b. o () c. ! E9 6e -o oo ll trop .=N 6+ b9p og: -co o> Es Wit[ a:ibbck diagram, explain briefly the various components in 1 miCroprocessor based (06 Marks) ... 'l Differentiatb',$etween the two design approaches for an embedded system development. Explain the vang, gllstages with a flow diagram. (08 Marks) interface. Also explain fetch, exep,utg aiid next control operations with RTL instructions. (08 Marks) c) 3 a. b0c CB6 b. c. -o a6 'od 3o Explain the internal diagram,;of SRAM and writb the timing diagram for read operation. (06 Marks) i..i i Explain associative mappi1rg cache implementation. (06 Marks) Write the inside and outSide diagrams for DRAM along with read and write operations. Also (08 Marks) explain refresh operation. 613 o.A o'' oj () o Z o a c'i ,,iir'r.,. 5 Diterentiare steps. , ' .., (06 Marks) .:'. .t|.t,,,,, ,the characteruing and identifuing the requirements of a system with respect to a b. Explain (06 Marks) digital counter. c. Write the hardware architecture and data and control flow diagram of a counter system and (08 Marks) -;,,explain briefly the flow diagram. ,; !ol -i ." "' Write the flbw'diagrams for waterfall and V life cycle models artd briefly explain Waterfall <o otE U< .1,,,,,,.,. 4 a. o= >,q oot iou o= o. ;i tr> =o 5L .ii embedded*.ystem. . ',, 2 a. Compare: i) Big Endian and Littie Endian formats. ii) RISC and CISC registers. iii) Truncation and rounding ertors. (06 Marks) b. Explain direct and register indirept'addrepsihg"inodes with diagrams. Also write the timing diagram for a serial write operation with an 8 bit register. (06 ivlarks) c. Write the block diagram of RTN model for a microprocessor data path and memory BS ci i ''" a. betrveen' i[::H#looi,l,'.',I;, ll, ilt rightweight and heavy weight threads - b. Describe: i) code, ,K"9tr0: i,{fl",.1l*$l ((il LTBRF*' l: I ._-.-,{.7 g*Z (06 Marks) Reentrant ii) Foreground/background system, (06 Marks) iii) Multithreading system. Describe the task state transition with a diagram and TCB structures. Explain the function of (08 Marks) the scheduler and also dispatcher. I of2
  8. 8. loE C74 6a, b. c. Explain any 6 functions of an operating system in brief. (06 Marks) Describe virtual model and highL level irodel for oS architectures. (06 Marks) write the algorithm for a simple oS Kernel, using c rurgrug" notation for 3 asynchronous tasks using TCBs only. The 3 tasks use a common daia buffer for read, increment and rvr rvqs' display ta. "^-'i;il;.; operations. write the Amdahl's law limitation for performance improvement/optimization. consider a system with the following characteristics. The task to be improved takes 200 time units and the gral is to reduce the execution time "Determine to 160 time units. The algorithm under considerati"r;;;;d; i) ii) il;;"r" ' *"""' the ylpown-narameter vahJ in the equation and write th.l;f.;;;;,* Ifth{goal is to reduce the execution time to r00 tir"" r;;;;;d; uulr". in case(i), then deterini4e-the value unknown parameter value in the c. 8a. b. equatioiffi#ffi# write a 'c' funciion to determine the sum of the elements.in an ar-ray line for its time complexity Explain the Big-o nttuti* used for comparing the algorithms, and, inference. analyzJif cornmon bounds write ,Hi? ,j:: TX'f? complexity. and analyze a rinear search algorithm for its time (06 Marks) The operationto beperformed is (i;:c,o u+ b, (iD c: a u= = belse d_e. Write the c language construct and. assembly lungurg. statements for the above 2 cases separately and *.lf c: calculate the total time required-' PUSH/pop takes g00 nsec, arithmetic operation/load/store/cmp takes 400 nsec and the .onJitionut/unconditional branch takes 700 nsec. (06 Marks) Describe memory roading with equation, figure and an exampre. (08 if c' Marks) *{<X.** 2 of2
  9. 9. 068,C7 4 USN Seventh Semester B.E. Degree Examination, Dec. 20l3lJan.2Ol4 DSP Algorithms and Architecture Time: 3 hrs. Max. Marks:100 Note: Answer FIVEfull questions, selecting atleast TWO questions from each purt. o () i. o a o a. 0) ! Eg bo- b. c. dU -.o bol ica .= oi With a.neht',,,block diagram, explain the scheme of a DSP systemrwith typical signals in DSP scheme,,,,,. ,:'.,,, ::::.,,"' .,, :.,, ,:'' :,. a (10 Marks) .,..,,.:.. Briefly explain the-,decimation process. (04 Marks) An analog signal is"sampled at arate of 8 KHz. If 512 samples of the signal are used to compute DSP, X(K)l ilelermine the analog and digital frequency spacing between adjacent X(K) elements. Also, determine analog and digital-ftequencies corresponding to K:64. : :,,,:::, (06 Marks) t1 goOO oEl -o =fl o> a. aq) a= o() 50c CB6 b. c. Investigate to basic features that",should be provided in to DSP architecture to be used to provided in to DSP architecture to b,ufu$ed to implement to following Nth -order FIR filter. (06 Marks) With a neat diagram, explain trr" ;r;i.;" level parallelism and pipelining with pipelined implementation of an 8 - tap FIR filter using eight MACs and parallel implementation of an ,rr' .,';' 8 - tap FIR filter, using two'MAC units. (08 Marks) Explain the indirect addressing mode. (06 Marks) '.'rt: .G . ,,:::':' -4() 'Ca OE o- 5. Eo. oj a. b. c. processor. Explain the maiu'arUhitectural features of TMS 320 C 54 XX (06 Marks) Explain the bit'ionfiguration of PMST (08 Marks) With an ex,ample each, explain immediate addressing mode, absolute addressing mode, register. o= }U atE ,, LO >'= ootrOO o= o.B tr> v! ^o or '''i'"" : MPY*ARZ_,*AR4+O,B SUBxARI+, 14,A :61 0) Z ,,. a- ,. Describe the operation of the following MAC instructions i,"., MAC x AR 3 +, # 2463 h, A ;. 'i"": MAC * AR 3 * AR 5 +, B, A. -, b. Explain the operations of the following instructions : J< o , c. m () ::: '(O{'Marks) -c . . .. ..,,::,.. suB # 2345h,9, A, B. (06 Marks) Write a program to find the sum of sum of series of signed numbers as specified below: 4lFh A - Ir(i) i=4lOh d. Assume ARl as pointer to x(i) and AR2 as counter for the numbers. Briefly explain the clock generator of TMS320C54XX. I of2 (06 Marks) (04 Marks)
  10. 10. 2 of2
  11. 11. l 068C762 USN Seventh Semester B.E. Degree Examination, Dec.2013 Real - Time Systems ':::,:',,., tlt... ,, o .9 o (S ', Time Note: 6 (6 t.. o (g .9 Max. Marks:10-0 3 hrs. = E I Jan.2Ol4 ..::...:..:.:1 l. Answer ony FIYEfull questions, selecting stleast TWO questionfrom each part. 2. Standars Notations are used. .::: . :. o L 3e a. v> by Real PART - A Time systems? Explain the Jh bo' -il b. troo .=N (!+ l<bo go) otr -o e'o> 2a. (06 Marks) b. c. (06 Marks) (04 Marks) d. 8z (04 Marks) 6= Y5 OO - c -! dO oE .oo I -=-3..-- a. b. -o >P ,6 !-J E6 d8tro. o F:' ^E 69 4a. 9E tolE i, E.r !o =E >gr -;o 6= o.B tr> co0 .-C Technique c. lra) 'io oe 6- b. 5 VL o- -^ U< -i 6i What is code sharing? Explain the serially reusable and reentrant code. () o z € .' ..-i6' L oi 7 a. b. c. 8a. Explain software design for RTS using software module. What is the principal difference between pool and channel? Explain with relevant diagrams, the Ward and Meller method. b. Explain Yourdon methodolo gy. c. Write a short note on software modeling. J&JJJ (08 Marks) (06 Marks) (06 Marks) "
  12. 12. 06F,,C7s6 USN Seventh Semester B.E. Degree Examination, Dec.2013/Jan.2ol4 lmage Processing Max. Marks:100 Time: 3 hrs. Note: Answer FIVEfull questions, selecting at least TWO questionsfrom each part. la. With a neat block diagram, describe various components used in general purpose processing b. c. o () ox 2a. image (08 Marks) (08 Marks) system. Briefly.explain the principle of image formation in Human eye. Let p dnd q be the pixels at coordinates (5, 5) and (10, 15) respectively. Find out which (04 Marks) distance',,rneasure gives the minimum distance between the pixels.. . " ,,, Explain the pfbeess of image sampling and quantization in arq;lallmage formationlro rvru.t r; b. Jh 6 'oo c. I troo .= 6l (d<f, Explain: i) False contouring. iil Checkerboard pattern. Consider the image se€m€nt shown in Fig.Q2(c). Let V : {2, 3,4}, compute the length of shortest 4-, 8- and m- path between p and q. If any particular path does not exist between (05 Marks) these two points, explain (05 Marks) eil otr -c 0 cdO OE ootr 3 a. E(o 'Ea o!3 o. 6. tra. b. oj 6E !o 5.e >'q co0 o= 90 4a. b. c. 5a. =o oVL Consider a2 x a 0 ::1 (q) 2 J a -) 0 4 ''r""' . 2 U J 4' 4 ::, f tl rrl U=t ;] Lr Ll I 2) Calculate the transformed image V and the basis images. Check the image U using basis (10 Marks) images and transformed image V. Define Haar,transform. Find Haar matrix for N : 8 and explain how it is constructed. State (10 Marks) its propertids. Explaiuthe importance of discrete cosine transform with its equations and properties. Write a short note on KL transform. Prove that Hadamard transform is a fast transform. 1r,,, : (08 Marks) (06 Marks) (06 Marks) . .PART-B ii Consider 8-level grey scale image of size 8 x 8 shown in Fig.Q5(a). Show histogram of t]le image. Compute equalized hist and display graphically. t"*u*"'"' )4 c'i 0 0 I 1 0 0 I 2 J J 1 a -) 0 4 0 o 4,, 2 2transform matrix A and the image U. given below: ^ i[f a6 z 2 1 oo) o t',, t) 2 (p) o: 0 4 I ., 92 ()= J . PART _ A i: o o o ,.. ,,,,,,,, 5 a ., a 1 I 0 2 I 0 5 4 0 2 7 7 2 0 6 2 1 0 0 1 2 6 0 4 5 J J 5 4 0 0 1 2 J J 2 1 0 0 1 1 0 0 1 a 1 a 0 I of2 Fig.Qs(a)
  13. 13. 068C756 5 b. c. Using the second derivative, develop a Laplacian mask for image sharpening. (06 Marks) Exptrain in brief any point processing technique implemented in image processing. (04 Marks) 6 a. Discuss the characteristics of high boost filter for both frequency and spatial domain. .:= (l0lv[a*s) Explain how high boost filtering increases the enhancement of the image. ':r:: ,hf Wilh the help of block diagram, explain homomorphic filters for image enhancemerl-. -j::' = ' _ flO1Yla flOlVlarks) tain different image degradation models. tll ull.l9r9lrt llilaBE us$r4Lr4Lrull lllrrvrr. in in brief, the inverse filtering c. approach and using Wiener lirfri*l&ns can be overcome WhdSffifu order statistics filter? Explain any one such "", *d3 its limitations. .E#ft6in how the filtering. filter. . fu (10 Marks) (04 Marks) . 8 a. Explain thffi}{pwing color models: co6*:$del i) RG_BgOIOf nio@= ff, tlDf ii) HSI color mOge:: b. c. dT. " .:: Marhsl flh* (06 *qf " "" "%.ffi# *w ,..t ^^#s . - ..' Write steps involve=?Ifuonverting colors from HSI ;.Explain pseudo color @ge processing in to,,$GB. brief. '' ='*,* *#J**{ffiuw' ptw sE & $ 2 of2 = (10 Marks) (rr, lvrarrs, (05 Marks) (05 Marks)
  14. 14. 06ML753 USN Seventh Semester B.E. Degree Examination, Dec.2013 lJan.2ol4 Linear Algebra Time: 3 hrs. Max. Marks:100 Note: 1. Answer FIVEfull questions, selecting at least TWO questionsfrom each part. 2. Missing data be suitably assumed. ! ::: !.,.1S ,,:,.: d o o , .:$"'' a. 1 ,1"" Given: a C) 6 (.) Ls ll ioo .=N dr+ b9p ) a. Eb >P ,6 GEd b. a) or= 9= o- 6- tro. o= to atE !o 5.e >'h lr< o o Z o a a'.1 21 r (08 Marks) ,,,,,, 1t2 131 113 1l 4 | "'. . ) using ihe element ary row operations. Ll/3 U4 Us)" of Find an LU factorization 3 .,,.,.,. if ", b. ,. lz -4 -2 3l I u -e -s 8 a:[ a -7 -3 el. I o -2 -2 -rl T -L-6 3 3 4) ,.. c. ofV. Are the vectors Vr : (1, |***7 '/6/'*'o t9(/ N.,.>-{qfii --==::f Marks) {tgctr' - .' ':;'', rusq':;:: ,,: ,,::' ,, (10 Marks) .iit: '1.= Given Vr and Vz are vectors in a vector space V, subspace ff("'*11: ,-r,, I Fl' =o o- 8_l -- Find the inverse of the matrix I tt A:lll2 o0tr 6d tr> ,1"'' I .=o bn" cb0 o= so ':::, '.,' '1rl,u l" -r ol. l-: L; ;'._:l L,',L',l Ez o ::: lz o ol I-r t og -c!) -? ,,, ,r.r1,, " l'i' Find the following: [) The row reduced echelon lorm of A; i i) The row rank and nullity of A; iii) Find the general iolution of the system AX: 0. (12 Marks) Prove that the following twg matrices are NO'I ro#'equi valent and mention under what conditions two matrices are said to be row equivaJent: GV 6 o(.) 6O [. n lo B -4 -8 rl tt l0 -12 -24 L E9 a= - A It 2 lt 4 -2 -4 tl -3 -6 'l 12 A=13 6 -3 -6 1l L oo PART 2,5),Y2: (2,5, let H: V:: span {V1, V2}. Show,that H is a Shoi iot'm.r..l (1, 5,2)hnearly independe inR3?s... endent 1os mar[Si Find a basis for col A and a basis for nul A for the given matrix 1) and Ir 4 8 -3 -71 l-, A=l 2 7 3 4ll. l-r 2 9 s s I' [, 6s -s -r) (10 Marks) 4 a. Determine which of the following functions T from R'+ Bf are linear transformations: i) T(x1, xz) : (xr * xz, xr)i ii) T(x1, x2) : (x1x2, I of2 x1). (06 Marks)

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