GATE ECE Syllabus (Electronics & Communication Engineering)
GATE ECE Syllabus (Electronics & Communication Engineering)
GATE ECE Syllabus (Electronics & Communication Engineering)
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 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, intersymbol interference and its mitigation; Basics of TDMA, FDMA and CDMA.
Section 8: Electromagnetics
Electrostatics; Maxwells equations: differential and integral forms and their
interpretation, boundary conditions, wave equation, Poynting vector; Plane
waves and properties: reflection and refraction, polarization, phase and
Prev
Next