GATE ECE Syllabus 2027: Electronics & Communication Revised PDF, Subject-Wise Weightage

The topics have been rephrased to Linear differential equations, Euler-Cauchy equation, Nonhomogeneous equations" instead of the previous "First order equations (linear and nonlinear), higher order linear differential equations, Cauchy's and Euler's equations.

Correlation and regression analysis" has been newly added to the end of the topic list.

Continuous-time Signals: "Sampling theorem and applications" has been updated to specifically mention "Nyquist sampling theorem, sampling and reconstruction".

Discrete-time Signals: "FIR and IIR filter design" has been added. The topic "discrete-time processing of continuous-time signals" has been removed.

Formation of energy bands in solids have been included and Scaling in MOSFETs" has been added to the list of electronic devices.

Dominant-pole (Miller) compensation, phase margin" has been added to the syllabus. Additionally, "Schmitt triggers" has been updated to the singular "Schmitt trigger".

Information Theory: "Source coding" has been added to the syllabus

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

Linear differential equations, Euler-Cauchy equation, Nonhomogeneous 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 Stokes’ theorems.

Complex Analysis

Analytic functions, Cauchy’s integral theorem, Cauchy’s integral formula, sequences, series,
convergence tests, Taylor and Laurent series, residue theorem.

Probability and Statistics

Mean, median, mode, standard deviation, combinatorial probability, probability
distributions, binomial distribution, Poisson distribution, exponential distribution, normal distribution, joint and conditional probability, correlation and regression analysis.

Circuit Analysis

Node and mesh analysis, superposition, Thevenin's theorem, Norton’s theorem, reciprocity. Sinusoidal steady state analysis: phasors, complex power, maximum power transfer.

Time and Frequency Domain Analysis of Linear Circuits

RL, RC and RLC circuits, solution of network equations using Laplace transform. Linear 2-port network parameters, wye-delta transformation

LTI Systems

definition and properties, causality, stability, impulse response, convolution, poles and zeroes, frequency response, group delay, phase delay.

Continuous Time Signals

Fourier series and Fourier transform, Nyquist sampling theorem, sampling and
reconstruction.

Discrete Time Signals

DTFT, DFT, z-transform, FIR and IIR filter design.

Electronic devices

Formation of energy bands in solids, energy bands in intrinsic and extrinsic semiconductors, equilibrium carrier concentration, direct and indirect band-gap semiconductors.

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, scaling in MOSFETs, LED, photo diode and solar cell.

Diode Circuits

Clipping, clamping and rectifiers

BJT and MOSFET Amplifiers

Biasing, AC coupling, small signal analysis, frequency response. Current mirrors
and differential amplifiers.

Op-Amp Circuits

Amplifiers, summers, differentiators, integrators, active filters, Schmitt trigger and oscillators,
dominant-pole (Miller) compensation, phase margin.

Number Representations

Binary, integer and floating-point- numbers. 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.

Sequential Circuits

 Latches and flip-flops, counters, shift-registers, finite state machines, propagation delay,
setup and hold time, critical path delay

Data Convertors

 Sample and hold circuits, ADCs and DACs

Semiconductor Memories

ROM, SRAM, DRAM

Computer Organization

Machine instructions and addressing modes, ALU, data-path and control unit, instruction
pipelining.

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; compensators, PID controller; State variable model and solution ofstate equation of LTI systems

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, super heterodyne receivers

Information Theory

Entropy, source coding, mutual information and channel capacity theorem.

Digital Communications

PCM, DPCM, digital modulation schemes (ASK, PSK, FSK, QAM), bandwidth, intersymbol interference, MAP, ML detection, matched filter receiver, SNR and BER. Fundamentals of error
correction, Hamming codes, CRC.

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,
Sparameters, Smith chart. Rectangular and circular waveguides, light propagation in optical fibers, dipole and monopole antennas, linear antenna arrays.

Advanced Engineering Mathematics

Dr H.K Dass

Higher Engineering Mathematics

Dr BS Grewal

Quantitative Aptitude and Logical Reasoning

R.S Agarwal

Network Theory

Alexander Sadiku

Engineering Circuit Analysis

Hayt and Kammerly

Integrated Electronics

Jacob Millman and Christos C.Halkias

Semiconductor Devices

David Neaman

Linear ICs

Gaekwad

Pulse and Digital Electronics

Milliman and Taub

Fundamentals of Digital Electronics

Anand Kumar

Digital Logic and Computer Design

M. Morris Mano

Modern Control System

Katsuhiko Ogato

Modern Digital and Analog Communications Systems

BP Lathi

Antenna Theory

Balanis

GATE ECE 

R.K Kanodia