GATE?
You all Know about that, you all have dream to qualified GATE and do MTECH from IIT(Indian Institute of Technology) or NIT (National Institute of Technology) or jobs in BHELor any other MNC Company.
This post is for Electronics and communication students who want to do this,
further help give your feedback............
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 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
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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