GATE ECE Syllabus

Unfold the Complete Details about GATE ECE Syllabus

GATE – An Exciting Career Opportunity!

GATE – A high-level examination that can be fruitful for candidates in many ways. This exam allows the candidates to pursue their master program at reputed institutes like IIT and many other popular institutes. One of the most interesting perks linked with this exam is that this exam includes many disciplines so students from different departments can appear in the examination. 

There are a total of 29 subjects, and Electronics and Communications Engineering is one of them. If you belong to this stream, then this article is for you. In this article, we will learn more about the GATE syllabus for ECE, the subject and topics included in this stream and more. 

GATE ECE Syllabus – Kick Start your GATE Journey From Here

GATE aspirant, which is that one ingredient that can make your GATE journey smooth? Well, it is none other than the syllabus. Syllabus is one component that will help you kick start your journey. Learning the syllabus will help you to understand the subjects in a better way. ECE is the famous stream that will give you a great insight about the hardware world. 

If you are planning to appear in the upcoming GATE exam through the ECE branch, then you need to learn every aspect of your discipline. For your convenience, we have come up with a tabular structure in which you can easily understand the ECE syllabus for the GATE exam. 

Check The Complete GATE Syllabus for ECE

Section 1: Engineering Mathematics
  • Linear Algebra: Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues and eigenvectors, 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.
Section 2: Networks, 
Section 3: Electronic Devices
Section 4: Analog Circuits

Signals and Systems

  • 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.
  • 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, LED, photo diode and solar cell.
  • Diode circuits: clipping, clamping and rectifiers.
  • BJT and MOSFET amplifiers: biassing, 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.
Section 5: Digital Circuits
  • 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 organisation: Machine instructions and addressing modes, ALU, data-path and control unit, instruction pipelining.
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.
  • 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.
Section 8: Electromagnetics
  • Maxwell’s equations: differential and integral forms and their interpretation, boundary conditions,wave equation, Poynting vector.
  • Plane waves and properties: reflection and refraction, polarisation, 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 fibres,dipole and monopole antennas, linear antenna arrays.
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We hope the above table is helpful for you. Students who belong to any other stream like computer science, mechanical or any other can check the detailed GATE syllabus for mechanical engineering and computer science. This is the first step that helps you reach your destination. You can follow the above-mentioned table and kick start your preparation for the upcoming GATE examination. 

Best of Luck GATE Aspirants! 

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