GATE SYLLABUS FOR 2016-2017
GATE SYLLABUS FOR 2016-2017
GATE ECE Syllabus (Electronics & Communication Engineering)
Section 1: Engineering Mathematics
Linear Algebra:
Vector space, basis, linear dependence and independence, matrix
algebra, eigen values and eigen vectors, rank, solution of linear
equations – existence and uniqueness.
Calculus:
Mean value theorems, theorems of integral calculus, evaluation of
definite and improper integrals, partial derivatives, maxima and minima,
multiple integrals, line, surface and volume integrals, Taylor series.
Differential Equations:
First order equations (linear and nonlinear), higher order linear
differential equations, Cauchy's and Euler's equations, methods of
solution using variation of parameters, complementary function and
particular integral, partial differential equations, variable separable
method, initial and boundary value problems.
Vector Analysis: Vectors in plane and space, vector operations, gradient, divergence and curl, Gauss's, Green's and Stoke's theorems.
Complex Analysis: Analytic functions, Cauchy's integral theorem, Cauchy's integral formula; Taylor's and Laurent's series, residue theorem.
Numerical Methods: Solution of nonlinear equations, single and multi-step methods for differential equations, convergence criteria.
Probability and Statistics:
Mean, median, mode and standard deviation; combinatorial probability,
probability distribution functions - binomial, Poisson, exponential and
normal; Joint and conditional probability; Correlation and regression
analysis.
Section 2: Networks, Signals and Systems
Network 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; Time domain analysis of
simple linear circuits; Solution of network equations using Laplace
transform; Frequency domain analysis of RLC circuits; Linear 2‐port
network parameters: driving point and transfer functions; State
equations for networks.
Continuous-time
signals: Fourier series and Fourier transform representations, sampling
theorem and applications; Discrete-time signals: discrete-time Fourier
transform (DTFT), DFT, FFT, Z-transform, interpolation of discrete-time
signals; LTI systems: definition and properties, causality, stability,
impulse response, convolution, poles and zeros, parallel and cascade
structure, frequency response, group delay, phase delay, digital filter
design techniques.
Section 3: Electronic Devices
Energy bands in
intrinsic and extrinsic silicon; Carrier transport: diffusion current,
drift current, mobility and resistivity; Generation and recombination of
carriers; Poisson and continuity equations; P-N junction, Zener diode,
BJT, MOS capacitor, MOSFET, LED, photo diode and solar cell; Integrated
circuit fabrication process: oxidation, diffusion, ion implantation,
photolithography and twin-tub CMOS process.
Section 4: Analog Circuits
Small signal
equivalent circuits of diodes, BJTs and MOSFETs; Simple diode circuits:
clipping, clamping and rectifiers; Single-stage BJT and MOSFET
amplifiers: biasing, bias stability, mid-frequency small signal analysis
and frequency response; BJT and MOSFET amplifiers: multi-stage,
differential, feedback, power and operational; Simple op-amp circuits;
Active filters; Sinusoidal oscillators: criterion for oscillation,
single-transistor and opamp configurations; Function generators,
wave-shaping circuits and 555 timers; Voltage reference circuits; Power
supplies: ripple removal and regulation.
Section 5: Digital Circuits
Number systems;
Combinatorial circuits: Boolean algebra, minimization of functions using
Boolean identities and Karnaugh map, logic gates and their static CMOS
implementations, arithmetic circuits, code converters, multiplexers,
decoders and PLAs; Sequential circuits: latches and flip‐flops,
counters, shift‐registers and finite state machines; Data converters:
sample and hold circuits, ADCs and DACs; Semiconductor memories: ROM,
SRAM, DRAM; 8-bit microprocessor (8085): architecture, programming,
memory and I/O interfacing.
Section 6: Control Systems
Basic control system
components; Feedback principle; Transfer function; Block diagram
representation; Signal flow graph; Transient and steady-state analysis
of LTI systems; Frequency response; Routh-Hurwitz and Nyquist stability
criteria; Bode and root-locus plots; Lag, lead and lag-lead
compensation; State variable model and solution of state equation of LTI
systems.
Section 7: Communications
Random processes:
autocorrelation and power spectral density, properties of white noise,
filtering of random signals through LTI systems; Analog communications:
amplitude modulation and demodulation, angle modulation and
demodulation, spectra of AM and FM, superheterodyne receivers, circuits
for analog communications; Information theory: entropy, mutual
information and channel capacity theorem; Digital communications: PCM,
DPCM, digital modulation schemes, amplitude, phase and frequency shift
keying (ASK, PSK, FSK), QAM, MAP and ML decoding, matched filter
receiver, calculation of bandwidth, SNR and BER for digital modulation;
Fundamentals of error correction, Hamming codes; Timing and frequency
synchronization, inter-symbol interference and its mitigation; Basics of
TDMA, FDMA and CDMA.
Section 8: Electromagnetics
Electrostatics;
Maxwell’s equations: differential and integral forms and their
interpretation, boundary conditions, wave equation, Poynting vector;
Plane waves and properties: reflection and refraction, polarization,
phase and group velocity, propagation through various media, skin depth;
Transmission lines: equations, characteristic impedance, impedance
matching, impedance transformation, S-parameters, Smith chart;
Waveguides: modes, boundary conditions, cut-off frequencies, dispersion
relations; Antennas: antenna types, radiation pattern, gain and
directivity, return loss, antenna arrays; Basics of radar; Light
propagation in optical fibers.
See More Updates
GATE SYLLABUS FOR 2016-2017
Reviewed by Jaya May
on
22:13
Rating:
No comments: