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 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 usingLaplace 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). Combinatorial circuits: arithmetic circuits, code
converters, multiplexers, decoders, PROMs and PLAs. Sequential circuits:
latches and flip-flops, counters and shiftregisters. Sample and hold circuits,
ADCs, DACs. Semiconductor memories. Microprocessor(8085): architecture,
programming, memory and I/O interfacing.
Signals and Systems: Definitions
and properties ofLaplace 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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