gate2011_ec

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IMPORTANT DATES

Website display of final list of registered candidates,choices of test paper and examination city

FridayDecember 10,2010

Date for reporting any discrepancy in the choice of examination cities or in the choice of GATE paper

Friday December 31,2010

Date for reporting the non-receipt of admit cards for ONLINE examination papers

ThursdayJanuary 20,2011

Last date for reporting the non-receipt of admitcards for OFFLINE examination papers

MondayJanuary 31,2011

GATE 2011 Online ExaminationPapers: GG and TF

Sunday

January 30,2011(09:00 Hrs to12:00 Hrs)

GATE 2011 Online ExaminationPapers: AE and MN

Sunday

January 30,2011(14:00 Hrs to17:00 Hrs)

GATE 2011 Offline ExaminationPapers: AR, BT, CE, CH, CS, ME, PH and PI

Sunday

February 13,2011(09:00 Hrs to12:00 Hrs)

GATE 2011 Offline Examination

Papers: AG, CY, EC, EE, IN, MA, MT, XE and XLSunday

February 13,2011

(14:00 Hrs to17:00 Hrs)

Announcement of results TuesdayMarch 15, 2011(10:00 Hrs)

QUALIFYING DISCIPLINE CODES

Electronics & Comm./Electronics Engg./Comm.Engg./Telecommunication Engg.

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CONTACT:

Chairman, GATEIndian Institute of TechnologyMadras, Chennai 600 036

044-2257 8200 044-2257 8204 [email protected]

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SYLLABUS FOR ELECTRONICS AND COMMUNICATION ENGINEERING (EC)

Engineering Mathematics

Linear Algebra:

Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.

Calculus:

Mean value theorems, Theorems of integral calculus, Evaluation of definite andimproper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals,Stokes, Gauss and Green's theorems.

Differential equations:

First order equation (linear and nonlinear), Higher order linear differential equations withconstant coefficients, Method of variation of parameters, Cauchy's and Euler'sequations, Initial and boundary value problems, Partial Differential Equations andvariable separable method.

Complex variables:

Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent'series, Residue theorem, solution integrals.

Probability and Statistics:

Sampling theorems, Conditional probability, Mean, median, mode and standarddeviation, Random variables, Discrete and continuous distributions, Poisson, Normaland Binomial distribution, Correlation and regression analysis.

Numerical Methods:

Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.

Transform Theory:

Fourier transform, Laplace transform, Z-transform.

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Electronics And Communication Engineering

Networks:

Network graphs: matrices associated with graphs; incidence, fundamental cut set and

fundamental circuit matrices. Solution methods: nodal and mesh analysis. Networktheorems: superposition, Thevenin and Norton's maximum power transfer, Wye-Deltatransformation. Steady state sinusoidal analysis using phasors. Linear constantcoefficient differential equations; time domain analysis of simple RLC circuits, Solutionof network equations using Laplace transform: frequency domain analysis of RLCcircuits. 2-port network parameters: driving point and transfer functions. State equationsfor networks.

Electronic Devices:

Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon:

diffusion current, drift current, mobility, and resistivity. Generation and recombination of carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor,MOSFET, LED, p-I-n and avalanche photo diode, Basics of LASERs. Devicetechnology: integrated circuits fabrication process, oxidation, diffusion, ion implantation,photolithography, n-tub, p-tub and twin-tub CMOS process.

Analog Circuits:

Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS. Simplediode circuits, clipping, clamping, rectifier. Biasing and bias stability of transistor andFET amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback,

and power. Frequency response of amplifiers. Simple op-amp circuits. Filters.Sinusoidal oscillators; criterion for oscillation; single-transistor and op-ampconfigurations. Function generators and wave-shaping circuits, 555 Timers. Power supplies.

Digital circuits:

Boolean algebra, minimization of Boolean functions; logic gates; digital IC families (DTL,TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, code converters,multiplexers, decoders, PROMs and PLAs. Sequential circuits: latches and flip-flops,counters and shift-registers. Sample and hold circuits, ADCs, DACs. Semiconductor

memories. Microprocessor(8085): architecture, programming, memory and I/Ointerfacing.

Signals and Systems:

Definitions and properties of Laplace transform, continuous-time and discrete-timeFourier series, continuous-time and discrete-time Fourier Transform, DFT and FFT, z-transform. Sampling theorem. Linear Time-Invariant (LTI) Systems: definitions and

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properties; causality, stability, impulse response, convolution, poles and zeros, paralleland cascade structure, frequency response, group delay, phase delay. Signaltransmission through LTI systems.

Control Systems:

Basic control system components; block diagrammatic description, reduction of blockdiagrams. Open loop and closed loop (feedback) systems and stability analysis of thesesystems. Signal flow graphs and their use in determining transfer functions of systems;transient and steady state analysis of LTI control systems and frequency response.Tools and techniques for LTI control system analysis: root loci, Routh-Hurwitz criterion,Bode and Nyquist plots. Control system compensators: elements of lead and lagcompensation, elements of Proportional-Integral-Derivative (PID) control. State variablerepresentation and solution of state equation of LTI control systems.

Communications:

Random signals and noise: probability, random variables, probability density function,autocorrelation, power spectral density. Analog communication systems: amplitude andangle modulation and demodulation systems, spectral analysis of these operations,superheterodyne receivers; elements of hardware, realizations of analogcommunication systems; signal-to-noise ratio (SNR) calculations for amplitudemodulation (AM) and frequency modulation (FM) for low noise conditions.Fundamentals of information theory and channel capacity theorem. Digitalcommunication systems: pulse code modulation (PCM), differential pulse codemodulation (DPCM), digital modulation schemes: amplitude, phase and frequency shiftkeying schemes (ASK, PSK, FSK), matched filter receivers, bandwidth consideration

and probability of error calculations for these schemes. Basics of TDMA, FDMA andCDMA and GSM.

Electromagnetics:

Elements of vector calculus: divergence and curl; Gauss' and Stokes' theorems,Maxwell's equations: differential and integral forms. Wave equation, Poynting vector.Plane waves: propagation through various media; reflection and refraction; phase andgroup velocity; skin depth. Transmission lines: characteristic impedance; impedancetransformation; Smith chart; impedance matching; S parameters, pulse excitation.Waveguides: modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations. Basics of propagation in dielectric waveguide andoptical fibers. Basics of Antennas: Dipole antennas; radiation pattern; antenna gain.

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GATE 2011 QUESTION TYPES

Multiple Choice Questions

Multiple choice questions in all papers and sections will contain four answers, of which

only one is correct. The types of questions in a paper may be based on following logic:

(i) Recall: These are based on facts, principles, formulae or laws of the discipline.The candidate is expected to be able to obtain the answer either from his/her memory of the subject or at most from a one-line computation.

ExampleQ. During machining maximum heat is produced

(A) in flank face (B) in rake face(C) in shear zone (D) due to friction between chip and tool.

(ii) Comprehension: These questions will test the candidate's understanding of the basics of his/her field, by requiring him/her to draw simple conclusions fromfundamental ideas.

ExampleQ. A DC motor requires a starter in order

(A) to develop a starting torque(B) to compensate for auxiliary field ampere turns(C) to limit armature current at starting

(D) to provide regenerative braking

(iii) Application: In these questions, the candidate is expected to apply his/her knowledge either through computation or by logical reasoning.

Example: Q. The sequent depth ratio of a hydraulic jump in a rectangular channel is16.48. The Froude number at the beginning of the jump is:

(A) 10.0 (B) 5.0

(C) 12.0 (D) 8.0

(iv) Analysis and Synthesis:

These can be linked questions, where the answer to the first question of the pair isrequired in order to answer its successor. Or these can be common data questions, inwhich two questions share the same data but can be solved independently of oneanother.

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Common Data Questions

Multiple questions may be linked to a common data problem, passage and the like. Twoor three questions can be formed from the given common data problem. Each questionis independent and its solution obtainable from the above problem data/passage

directly. (Answer of the previous question is not required to solve the next question).Each question under this group will carry two marks.

ExampleCommon Data, for instance, Questions 48 and 49 in main paper:Let X and Y be jointly distributed random variables such that the conditional distributionof Y, given X=x, is uniform on the interval (x-1,x+1). Suppose E(X)=1 and Var(X)= 5/3

First question using common data:

Q.48 The mean of the random variable Y is

(A) 1/2 (B) 1 (C) 3/2 (D) 2

Second question using common data:

Q.49 The variance of the random variable Y is

(A) 1/2 (B) 2/3 (C) 1 (D) 2

Linked Answer Questions:

These questions are of problem solving type. A problem statement is followed by twoquestions based on the problem statement. The two questions are designed such thatthe solution to the second question depends upon the answer to the first one. In other words, the first answer is an intermediate step in working out the second answer. Eachquestion in such linked answer questions will carry two marks.

Example:

Statement for Linked Answer Questions, for instance, for Questions 52 and 53 in MainPaper:

The open loop transfer function of a unity feedback control system is given by

First question of the pair:Q.52 The value of K which will cause sustained oscillations in the closed loop system is

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Second question of the pair:Q.53 The frequency of sustained oscillations is

The questions based on the above four logics may be a mix of single stand alonestatement / phrase / data type questions, combination of option codes type questions or match items types questions.

PATTERN: There will be a total of 65 questions carrying 100 marks.

Q.1 to Q.25 (25 questions) carry one mark each (sub-total 25 marks). Q.26 to Q.55 (30questions) carry two marks each (sub-total 60 marks). Questions Q.56 - Q.65 belong toGeneral Aptitude (GA). Questions Q.56 - Q.60 (5 questions) carry 1 mark each (sub-total 5 marks) and questions Q.61 - Q.65 (5 questions) carry 2-marks each (sub-total 10marks).

Questions Q.48 - Q.51 (2 pairs) are common data questions. and Qquestion pairs(Q.52, Q.53) and (Q.54, Q.55) are linked answer questions. The answer to the secondquestion of the linked answer questions depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly answered or is unattempted,then the answer to the second question in the pair will not be evaluated.

NEGATIVE MARKING:For Q.1 - Q.25 and Q.56 - Q.60, mark will be deducted for each wrong answer. For Q.26 - Q.51 and Q.61 - Q.65, mark will be deducted for eachwrong answer. The question pairs (Q.52, Q.53), and (Q.54, Q.55) are questions withlinked answers. There will be negative marks only for wrong answer to the first question

of the linked answer question pair i.e. for Q.52 and Q.54, mark will be deducted for each wrong answer. There is no negative marking for Q.53 and Q.55.

Questions on Engineering Mathematics will carry about 15% of the total marks(excluding General Aptitude section) in all the papers bearing the codes AG, BT, CE,CH, CS, EC, EE, IN, ME, MN, MT and PI.

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