GATE 2014 Syllabus For ECE Electronic & Communication Engineering
General Aptitude
1. Verbal Ability: English grammar, sentence completion, verbal analogies, word
groups, instructions, critical reasoning and verbal deduction.
2. Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
General Aptitude
1. Verbal Ability: English grammar, sentence completion, verbal analogies, word
groups, instructions, critical reasoning and verbal deduction.
2. Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
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
and improper 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 with constant coefficients, Method of variation of parameters,
Cauchy’s and Euler’s equations, Initial and boundary value problems, Partial Differential
Equations and variable 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 standard deviation, Random variables, Discrete and continuous distributions,
Poisson,Normal and 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.
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.
Network theorems: superposition, Thevenin and Norton’s maximum power transfer,
Wye-Delta transformation. Steady state sinusoidal analysis using phasors. Linear
constant coefficient differential equations; time domain analysis of simple RLC circuits,
Solution of network equations using Laplace transform: frequency domain analysis of
RLC circuits. 2-port network parameters: driving point and transfer functions. State
equations for 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. Device
technology: 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. Simple diode circuits, clipping, clamping, rectifier. Biasing and bias stability of
transistor and FET 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 opamp configurations. 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/O interfacing.
Signals and Systems: Definitions and properties of Laplace transform, continuous-time
and discrete-time Fourier series, continuous-time and discrete-time Fourier Transform,
DFT and FFT, z-transform. Sampling theorem. Linear Time-Invariant (LTI) Systems:
definitions and properties; causality, stability, impulse response, convolution, poles and
zeros, parallel and cascade structure, frequency response, group delay, phase delay.
Signal transmission through LTI systems.
Control Systems: Basic control system components; block diagrammatic description,
reduction of block diagrams. Open loop and closed loop (feedback) systems and stability
analysis of these systems. 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 lag compensation, elements of Proportional-Integral-Derivative
(PID) control. State variable representation 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 and angle modulation and demodulation systems, spectral analysis
of these operations, superheterodyne receivers; elements of hardware, realizations of
analog communication systems; signal-to-noise ratio (SNR) calculations for amplitude
modulation (AM) and frequency modulation (FM) for low noise conditions.
Fundamentals of information theory and channel capacity theorem.
Digital communication systems: pulse code modulation (PCM), differential pulse code
modulation (DPCM), digital modulation schemes: amplitude, phase and frequency shift
keying schemes (ASK, PSK, FSK), matched filter receivers, bandwidth consideration and
probability of error calculations for these schemes. Basics of TDMA, FDMA and CDMA
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 and group velocity; skin depth. Transmission lines: characteristic impedance;
impedance transformation; 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 and
optical fibers. Basics of Antennas: Dipole antennas; radiation pattern; antenna gain.
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