Includes analog and digital electronics, communication systems, signal processing, and VLSI design, for careers in telecommunications and electronics.

GATE Electronics and Communication Engineering

Official 2025 syllabus extracted from https://gate2025.iitr.ac.in/doc/2025/GATE%20_EC_2025_Syllabus.pdf

Engineering Mathematics

Vector space, basis

Linear dependence and independence

Matrix algebra

Eigen values and eigen vectors

Rank

Solution of linear equations: existence and uniqueness

Linear Algebra

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

Calculus

First order equations (linear and nonlinear)

Higher order linear differential equations

Cauchy's and Euler's equations

Variation of parameters

Complementary function and particular integral

Partial differential equations

Variable separable method

Initial and boundary value problems

Differential Equations

Vectors in plane and space

Vector operations

Gradient, divergence and curl

Gauss's theorem

Green's theorem

Stokes' theorem

Vector Analysis

Analytic functions

Cauchy's integral theorem and formula

Sequences, series

Convergence tests

Taylor and Laurent series

Residue theorem

Complex Analysis

Mean, median, mode, standard deviation

Combinatorial probability

Probability distributions

Binomial distribution

Poisson distribution

Exponential distribution

Normal distribution

Joint and conditional probability

Probability and Statistics

Networks, Signals and Systems

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 RL, RC, RLC circuits

Solution of network equations using Laplace transform

Linear 2-port network parameters

Wye-delta transformation

Circuit Analysis

Fourier series

Fourier transform

Sampling theorem and applications

Continuous-time Signals

DTFT

Z-transform

Discrete-time processing of continuous-time signals

Discrete-time Signals

Definition and properties

Causality

Stability

Impulse response

Convolution

Poles and zeroes

Frequency response

Group delay and phase delay

LTI Systems

Electronic Devices

Energy bands in intrinsic and extrinsic semiconductors

Equilibrium carrier concentration

Direct and indirect band-gap semiconductors

Carrier transport: diffusion and drift current

Mobility and resistivity

Generation and recombination of carriers

Poisson and continuity equations

P-N junction

Zener diode

MOS capacitor

MOSFET

Photo diode

Solar cell

Analog Circuits

Diode circuits: clipping, clamping, rectifiers

BJT and MOSFET amplifiers: biasing, AC coupling

Small signal analysis

Current mirrors

Differential amplifiers

Op-amp amplifiers, summers, differentiators, integrators

Op-amp active filters

Schmitt triggers

Op-amp oscillators

Digital Circuits

Binary, integer and floating-point numbers

Number Representations

Boolean algebra

Minimization using Boolean identities

Karnaugh map

Logic gates and static CMOS implementations

Arithmetic circuits

Code converters

Multiplexers

Decoders

Combinational Circuits

Latches and flip-flops

Counters

Shift-registers

Finite state machines

Propagation delay

Setup and hold time

Critical path delay

Sequential Circuits

Sample and hold circuits

ADCs

DACs

Data Converters

SRAM

DRAM

Semiconductor Memories

Machine instructions and addressing modes

ALU, data-path and control unit

Instruction pipelining

Computer Organization

Control Systems

Basic control system components

Feedback principle

Transfer function

Block diagram representation

Signal flow graph

Transient and steady-state analysis of LTI systems

Routh-Hurwitz stability criterion

Nyquist stability criterion

Bode plots

Root-locus plots

Lag, lead and lag-lead compensation

State variable model

Solution of state equation of LTI systems

Communications

Auto correlation

Power spectral density

White noise properties

Filtering of random signals through LTI systems

Random Processes

Amplitude modulation and demodulation

Angle modulation and demodulation

Spectra of AM and FM

Super heterodyne receivers

Analog Communications

Entropy

Mutual information

Channel capacity theorem

Information Theory

DPCM

Digital modulation: ASK, PSK, FSK, QAM

Bandwidth

Inter-symbol interference

MAP and ML detection

Matched filter receiver

SNR and BER

Error correction fundamentals

Hamming codes

Digital Communications

Electromagnetics

Differential and integral forms

Boundary conditions

Wave equation

Poynting vector

Maxwell's Equations

Reflection and refraction

Polarization

Phase and group velocity

Propagation through various media

Skin depth

Plane Waves

Transmission line equations

Characteristic impedance

Impedance matching and transformation

S-parameters

Smith chart

Rectangular and circular waveguides

Light propagation in optical fibers

Dipole and monopole antennas

Linear antenna arrays

Transmission Lines and Waveguides

GATE Electronics and Communication Engineering Syllabus 2025, 2026 and more: Subjects, Topics, and What to Study