2 Network TheoryNetwork graphs: matrices associatedwithgraphs; incidence, fundamental cut setand fundamental circuitmatrices.

EEE ECE 12-15

1

Mathematics

L inear Algebra:Matrix Algebra, Systems of linearequations, Eigen values andEigenvectors.Calculus: Meanvalue theorems,Theorems of integral calculus, Evaluationof definite and improper integrals, PartialDerivatives, Maximaandminima,Multiple integrals, Fourier series. V ectoridentities, Directional derivatives, L ine,Surface andVolume integrals, Stokes,Gauss andGreen's theorems.Differential equations:First order equation (linear andnonlinear), Higher order linear differentialequations with constant coefficients,Methodof variationof parameters,Cauchy's and Euler's equations, Initial andboundary valueproblems, PartialDifferential Equations and variableseparablemethod.Complex variables:Analytic functions, Cauchy's integraltheoremand integral formula, Taylor'sand Laurent' series, Residue theorem,solution integrals.Probability and Statistics:Sampling theorems, Conditionalprobability, Mean, median, modeandstandarddeviation, Randomvariables,Discrete and continuous distributions,Poisson, Normal andBinomialdistribution, Correlation and regressionanalysis.Numerical Methods:Solutions of non-linear algebraicequations, single andmulti-stepmethodsfor differential equations.T ransform Theory:Fourier transform, Laplace transform, Z-transform.

Mathematics

ECE

&

EEE

8-10

S. NoNameof theSubject

Syllabus Department Common toWeightage

in %

Solutionmethods: nodal andmeshanalysis. Network theorems:superposition, Thevenin’ s andNorton'smaximumpower transfer, Wye-Deltatransformation. Steady state sinusoidalanalysis using phasors. L inear constantcoefficient differential equations; timedomain analysis of simpleRLC circuits,Solutionof network equations usingLaplace transform: frequency domainanalysis of RLC circuits. 2-port networkparameters: driving point and transferfunctions. State equations for networks

&

EEE

4. Analog Circuits

Small Signal Equivalent circuits ofdiodes, BJTs, MOSFETs andanalogCMOS. Simplediode circuits, clipping,clamping, rectifier. Biasing andbiasstability of transistor and FET amplifiers.Amplifiers: single-andmulti-stage,differential andoperational, feedback, andpower. Frequency responseof amplifiers.Simpleop-ampcircuits. Filters.Sinusoidal oscillators; criterion foroscillation; single-transistor andop-ampconfigurations. Function generators andwave-shaping circuits, 555 Timers. Powersupplies.

ECE

ECE

&

EEE

8-15

3.E lectronicDevices andCircuits

Energy bands in silicon, intrinsic andextrinsic silicon. Carrier transport insilicon: diffusion current, drift current,mobility, and resistivity. Generation andrecombinationof carriers. p-n junctiondiode, Zener diode, tunnel diode, BJT,JFET, MOS capacitor, MOSFET, LED, p-I-n andavalanchephoto diode, Basics ofLASERs. Device technology: integratedcircuits fabricationprocess, oxidation,diffusion, ion implantation,photolithography, n-tub, p-tub and twin-tubCMOS process.

ECE

ECE

&

EEE

5-8

8. Communications

Randomsignals andnoise: probability,randomvariables, probability densityfunction, autocorrelation, power spectraldensity. Analog communication systems:amplitudeandanglemodulation and

ECE ECE 8-12

7.Control Systems

Basic control systemcomponents; blockdiagrammatic description, reductionofblock diagrams. Open loopand closedloop (feedback) systems and stabilityanalysis of these systems. Signal flowgraphs and their use indeterminingtransfer functions of systems; transientand steady state analysis of LTI controlsystems and frequency response. Toolsand techniques for LTI control systemanalysis: root loci, Routh-Hurwitzcriterion, BodeandNyquist plots. Controlsystemcompensators: elements of leadand lag compensation, elements ofProportional-Integral-Derivative (PID)control. State variable representation andsolutionof state equationof LTI controlsystems

EEE

ECE

&

EEE

7-11

6.Signals andSystems

Definitions andproperties of Laplacetransform, continuous-timeanddiscrete-timeFourier series, continuous-timeanddiscrete-timeFourier Transform, DFT andFFT, z-transform. Sampling theorem.L inear Time-Invariant (LTI) Systems:definitions andproperties; causality,stability, impulse response, convolution,poles and zeros, parallel and cascadestructure, frequency response, groupdelay, phasedelay. Signal transmissionthrough LTI systems

ECE

ECE

&

EEE

8-12

5. Digital circuits

Booleanalgebra, minimizationofBoolean functions; logic gates; digital ICfamilies (DTL , TTL , ECL , MOS,CMOS). Combinatorial circuits:arithmetic circuits, code converters,multiplexers, decoders, PROMs andPLAs. Sequential circuits: latches andflip-flops, counters and shift-registers.Sample andhold circuits, ADCs, DACs.Semiconductormemories.Microprocessor(8085): architecture,programming, memory and I/Ointerfacing

ECE

ECE

&

EEE

5-15

demodulation systems, spectral analysisof theseoperations, superheterodynereceivers; elements of hardware,realizations of analog communicationsystems; signal-to-noise ratio (SNR)calculations for amplitudemodulation(AM) and frequency modulation (FM) forlow noise conditions. Fundamentals ofinformation theory and channel capacitytheorem. Digital communication systems:pulse codemodulation (PCM),differential pulse codemodulation(DPCM), digital modulation schemes:amplitude, phase and frequency shiftkeying schemes (ASK , PSK , FSK ),matched filter receivers, bandwidthconsideration andprobability of errorcalculations for these schemes. Basics ofTDMA, FDMA andCDMA andGSM.

10.GeneralAptitude

Mathematics

ECE

&

EEE

15

9. E lectromagneticsand Antennas

Elements of vector calculus: divergence andcurl; Gauss' and Stokes' theorems, Maxwell'sequations: differential and integral forms.Waveequation, Poynting vector. Planewaves:propagation through variousmedia; reflectionand refraction; phase and group velocity; skindepth. Transmission lines: characteristicimpedance; impedance transformation; Smithchart; impedancematching; S parameters,pulse excitation. Waveguides: modes inrectangular waveguides; boundary conditions;cut-off frequencies; dispersion relations.Basics of propagation indielectric waveguideandoptical fibers. Basics of Antennas: Dipoleantennas; radiationpattern; antenna gain

ECE ECE 5-10

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