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SYLLABUS FOR GATE: ELECTRONICS |
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 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 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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GATE
CEED
NATA
AIEEE
MHCET
WBJEE
UPTU
Manipal
RPET
SOFT
Shrishti
NIFT
PEARL
APEEJAY
CEPT
NID Ahemdabad.
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