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 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
& 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 op-amp 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).Combinatonal
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.
SYLLABUS
FOR GENERAL APTITUDE (GA)
(Common
to all papers)
Verbal
Ability:
English
grammar, sentence completion, verbal analogies, word groups, instructions,
critical reasoning and verbal deduction.
Numerical
Ability:
Numerical
computation, numerical estimation, numerical reasoning and data interpretation.
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