- GATE SYLLABUS
- GATE Syllabus - Home
- GATE - General Aptitude
- GATE - Aerospace Engineering
- GATE - Agricultural Engineering
- GATE - Architecture and Planning
- GATE - Biotechnology
- GATE - Biomedical
- GATE - Chemical Engineering
- GATE - Chemistry
- GATE - Civil Engineering
- GATE - Computer Science & IT
- GATE - Ecology and Evolution
- GATE - Electrical Engineering
- Electronics & Communications
- GATE - Geology and Geophysics
- GATE - Instrumental Engineering
- GATE - Mathematics
- GATE - Mechanical Engineering
- GATE - Metallurgical Engineering
- GATE - Mining Engineering
- GATE - Petroleum Engineering
- GATE - Physics
- Production & Industrial Engineering
- Textile Engineering & Fibre Science
- PART I – ENGINEERING SCIENCE (XE)
- GATE - Engineering Mathematics
- GATE - Fluid Mechanics
- GATE - Materials Science
- GATE - Solid Mechanics
- GATE - Thermodynamics
- Polymer Science and Engineering
- GATE - Food Technology
- Atmospheric & Ocean Science
- PART II – LIFE SCIENCE (XL)
- GATE - Chemistry
- GATE - Biochemistry
- GATE - Botany
- GATE - Microbiology
- GATE - Zoology
- GATE - Food Technology
GATE Electronics and Communications Syllabus
Subject Code: EC
Course Structure
Sections/Units | Topics |
---|---|
Section A | Engineering Mathematics |
Unit 1 | Linear Algebra |
Unit 2 | Calculus |
Unit 3 | Differential Equations |
Unit 4 | Vector Analysis |
Unit 5 | Complex Analysis |
Unit 6 | Numerical Methods |
Unit 7 | Probability and Statistics |
Section B | Networks, Signals and Systems |
Unit 1 | Network Solution Methods |
Unit 2 | Continuous-time Signals |
Section C | Electronic Devices |
Section D | Analog Circuits |
Section E | Digital Circuits |
Section F | Control Systems |
Section G | Communications |
Section H | Electromagnetics |
Course Syllabus
Section A: Engineering Mathematics
Unit 1: Linear Algebra
- Vector space, basis, linear dependence and independence
- Matrix algebra
- Eigen values and Eigen vectors
- Rank, solution of linear equations −
- Existence and uniqueness
Unit 2: 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
Unit 3: 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
Unit 4: Vector Analysis
- Vectors in plane and space
- Vector operations
- Gradient, Divergence and Curl
- Gauss's, Green's and Stoke's theorems
Unit 5: Complex Analysis
- Analytic functions
- Cauchy's integral theorem
- Cauchy's integral formula
- Taylor's and Laurent's series
- Residue theorem
Unit 6: Numerical Methods
- Solution of nonlinear equations
- Single and multi-step methods for differential equations
- convergence criteria
Unit 7: Probability and Statistics
- Mean, median, mode and standard deviation
- Combinatorial probability
- probability distribution functions −
- Binomial
- Poisson
- Exponential
- Normal
- Joint and conditional probability
- Correlation and regression analysis
Section B: Networks, Signals and Systems
Unit 1: Network Solution Methods
- Nodal and mesh analysis
- Network theorems −
- Superposition
- Thevenin and Norton’s
- maximum power transfer
- Wye-Delta transformation
- Steady state sinusoidal analysis using phasors
- Time domain analysis of simple linear circuits
- Solution of network equations using Laplace transform
- Frequency domain analysis of RLC circuits
- Linear 2-port network parameters −
- Driving point
- Transfer functions
- State equations for networks
Unit 2: Continuous-time signals
Fourier series and Fourier transform representations, sampling theorem and applications
Discrete-time signals −
Discrete-time Fourier transform (DTFT)
DFT
FFT
Z-transform
Interpolation of discrete-time signals
LTI systems −
Definition and properties
Causality
Stability
Impulse response
Convolution
Poles and zeros
Parallel and cascade structure
Frequency response
Group delay
Phase delay
Digital filter design techniques
Section C: Electronic Devices
Energy bands in intrinsic and extrinsic silicon
Carrier transport −
Diffusion current
Drift current
Mobility
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
Integrated circuit fabrication process −
Oxidation
Diffusion
Ion implantation
Photolithography
Twin-tub CMOS process
Section D: Analog Circuits
- Small signal equivalent circuits of diodes, BJTs and MOSFETs
- Simple diode circuits −
- Clipping
- Clamping
- Rectifiers
- Single-stage BJT and MOSFET amplifiers −
- Biasing
- Bias stability
- Mid-frequency small signal analysis
- Frequency response
- BJT and MOSFET amplifiers −
- Multi-stage
- Differential
- Feedback
- Power and operational
- Simple op-amp circuits
- Active filters
- Sinusoidal oscillators −
- Criterion for oscillation
- Single-transistor
- Opamp configurations
- Function generators, wave-shaping circuits and 555 timers
- Voltage reference circuits
- Power supplies: ripple removal and regulation
Section E: Digital Circuits
Number systems
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 and PLAS
Sequential circuits −
Latches and flip-flops
Counters
Shift-registers
Finite state machines
Data converters −
Sample and hold circuits
ADCs and DACs
Semiconductor memories −
ROM
SRAM
DRAM
8-bit microprocessor (8085) −
Architecture
Programming
Memory and I/O interfacing
Section F: 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 G: 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
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, inter-symbol interference and its mitigation
Basics of TDMA, FDMA and CDMA
Section H: Electromagnetics
- Electrostatics
- 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
- Waveguides −
- Modes
- Boundary conditions
- Cut-off frequencies
- Dispersion relations
- Antennas −
- Antenna types
- Radiation pattern
- Gain and directivity
- Return loss
- Antenna arrays
- Basics of radar Light propagation in optical fibers
To download pdf Click here.