Gate 2013 Syllabus for Electronics And
Communication
NETWORK: Network graphs:
matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. Solution methodsl; nodal and mesh analysis. Network theorems; superposition, Thevenin and Nortan's, maximum power transfer, wye-delta transformation, steady state sinusoidal analysis using phasors, fourier series, linear constant coefficient differential and difference equations; time domain analysis of simple RLC circuits. laplace and Z transforms: frequency domain analysis of RLC circuits, convolution,2-port network parameters, driving point and transfer functions, state equation for networks.
ANALOG CIRCUITS:
characteristics and equivalent
circuits(large and small singnal) of diodes,BJT,JFETs and MOSFET simple
diode circuits: clipping, clamping, rectifier, biasing and bias
stability of transistior and FET
amplifiers. Amplifiers: single and multi-stage, differential,
operational, feedback and power. Analysis of amplifers; 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, Power supplies.
DIGITAL
CIRCUITS:
Boolean algebra; minimization of
boolean functions; logic gates; digital IC families( DTL,TTL,ECL,MOS,CMOS). Combinational circuits: airthmetic circuits,
code converters, multiplexers and decoders. Sequential circuits:
latches and flip-flops, counters and shift-registers. Comparators,
timers, multivibrators. Sample and hold circuits, ADCs and DACs.
Semiconductor memories. Microprocessor (8085): architecture,
programming, memory and I/O interfacing.
CONTROL
SYSTEMS:
Basic control system components;
block diagrammatic descripption,reduction of block
diagrams,properties of systems:
linearity,time-invariance,stability,causality.Open loop and closed
loop (feedback) systems.Special properties of linear time-
invariance(LTI) systems-transfer
function, impulse responce,poles,zeros,their significance, and
stability analysis of these systems. Signal flow graphs and their
use in determining transfer functions of systems; transient and
steaty state analysis of LTI system and
frequency responce. 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 compensations, elements
ofPropotional-integral.
-Derivative(PID)
control. State variable representation and solution of state
equation for LTI
systems.
COMMUNICATION
SYSTEMS:
Fourier analysis of signals -
amplitude, phase and power spectrum, auto-correlation and
cross-correlation and their Fourier transforms. Signal transmission
through linear time-invariant(LTI)
systems,impulse responce and frequency responce,group delay phase
delay. Analog modulation systems-amplitude and angle modulation and
demodulation systems, spectral analysis of these operations,
superheterodyne receivers, elements of hardwares realizations of
analog communications systems. Basic sampling theorems. Pulse code
modulation(PCM), differential pulse code
modulation(DPCM), delta modulation(DM).
Digital modulation schemes: amplitude, phase and frequency shift
keying schemes(ASK,PSK,FSK). Multiplexing -
time division and frequency division. Additive Gaussian noise;
characterization using correlation, probability density
function(PDF),power spectral
density(PSD). Signal- to-noise
rasio(SNR) calculations for amplitude
modulation(AM) and frequency modulation(FM) for low noise
conditions.
ELECTROMAGNETICS:
Elements of vector calculus:
gradient, dicergence and curl; Gauss and strokes theorems, maxwells
equation: differential and integral forms. Wave equation. Poynting
vector. Plane wavwes: propagation through various media; reflection
and refraction; phase and group velocity; skin depth Transmission
lines: Characteristic impedence; impedence transformation; smith
chart; impedence matching pulse excitation. Wave guides: modes in
rectangular waveguides; boundary conditions; cutt-off frequencies;
dipersion relations. Antennas; Dipole antennas; antenna arrays;
radiation pattern; reciprocity theorem; antenna
gain.
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