GATE 2026 ECE Syllabus - Electronics & Communication Syllabus PDF

Chapters

Topics

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 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.

Chapters

Topics

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

Continuous-time Signals

Fourier series and Fourier transform, sampling theorem and applications.

Discrete-time Signals

DTFT, DFT, z-transform, discrete-time processing of continuous-time signals. LTI systems: definition and properties, causality, stability, impulse response, convolution, poles and zeroes, frequency response, group delay, phase delay.

Chapters

Topics

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

Chapters

Topics

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 triggers and oscillators.

Chapters

Topics

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 Converters

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.

Chapters

Topics

Random Processes

Auto correlation 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, mutual information and channel capacity theorem

Digital Communications

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

Chapters

Topics

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

Particulars

Details

Number of Papers in GATE 2026

30

Section

General Aptitude (GA)

Candidate Selected Subject

Type of Questions

65

Types of Questions

The questions are designed to test the listed abilities Application Analysis Comprehension Recall Synthesis

Number of Questions

65 Questions (including 10 questions from General Aptitude)

Total Marks

100 Marks

GATE Negative Marking

⅓ negative marking for 1 marks questions ⅔ negative marking for 2 marks questions