GATE Syllabus for Electronics and Communication Engineering

GATE Syllabus for Electronics and Communication Engineering-(EC) | GATE Syllabus for EC

The GATE Syllabus for Electronics and Communication Engineering-(EC) consists of:

1 Engineering Mathematics
2 Electronics and Communication Engineering

GATE Syllabus for Electronics and Communication Engineering-(EC)

1-ENGINEERING MATHEMATICS SYLLABUS:

The Engineering Mathematics Syllabus consists of:

a Linear Algebra
b Calculus
c Differential Equations
d Vector Analysis
e Complex Analysis
f Numerical Methods
g Probability and Statistics

(a)-LINEAR ALGEBRA:

1 Vector space, basis
2 Linear dependence and independence
3 Matrix algebra
4 Eigen values and eigen vectors
5 Rank
6 Solution of linear equations
7 Existence and uniqueness

(b)-CALCULUS:

1 Mean value theorems
2 Evaluation of definite and improper integrals
3 Theorems of integral calculus
4 Partial derivatives
5 Maxima and minima
6 Multiple integrals
7 Line
8 Surface and volume integrals
9 Taylor series

(c)-DIFFERENTIAL EQUATIONS:

1 First order equations (linear and nonlinear)
2 Higher order linear differential equations
3 Cauchy’s and Euler’s equations
4 Methods of solution using variation of parameters
5 Complementary function and particular integral
6 Partial differential equations
7 Variable separable method
8 Initial and boundary value problems

(d)-VECTOR ANALYSIS:

1 Vectors in plane and space
2 Vector operations
3 Gradient
4 Divergence and curl
5 Gauss’s
6 Green’s and Stoke’s theorems

(e)-COMPLEX ANALYSIS:

1 Analytic functions
2 Cauchy’s integral theorem
3 Cauchy’s integral formula
4 Taylor’s and Laurent’s series
5 Residue theorem

(f)-NUMERICAL METHODS:

1 Solution of nonlinear equations
2 Single and multi-step methods for differential equations
3 Convergence criteria

(g)-PROBABILITY AND STATISTICS:

1 Mean, median, mode and standard deviation
2 Combinatorial probability
3 Probability distribution functions
4 Binomial, Poisson, exponential and normal
5  Joint and conditional probability
6 Correlation and regression analysis

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2-ELECTRONICS AND COMMUNICATION ENGINEERING SYLLABUS:

The Electronics and Communication engineering syllabus consists of:

a Networks, Signal, and Systems
b Electronic Devices
c Analog Circuits
d DIGITAL Circuits
e Control Systems
f Communications
g Electromagnetics

(a)-NETWORKS, SIGNALS, AND SYSTEMS:

1 Network solution methods
2 Nodal and mesh analysis
3 Network theorems
4 Superposition, Thevenin and Norton’s
5 Maximum power transfer
6 Wye‐Delta transformation
7 Steady state sinusoidal analysis using phasors
8 Time domain analysis of simple linear circuits
9 Solution of network equations using Laplace transform
10  Frequency domain analysis of RLC circuits; Linear 2‐port network parameters
11 Driving point and transfer functions
12 State equations for networks
13 Continuous-time signals
14 Fourier series and Fourier transform representations
15 Sampling theorem and applications
16 Discrete-time signals
17 Discrete-time Fourier transform (DTFT), DFT, FFT, Z-transform
18 Interpolation of discrete-time signals
19 LTI systems
20 Definition and properties, causality, stability
21 Impulse response, convolution
22 Poles and zeros
23 Parallel and cascade structure
24 Frequency response, group delay
25 Phase delay
26 Digital filter design techniques

 (b)-ELECTRONIC DEVICES:

1 Energy bands in intrinsic and extrinsic silicon
2 Carrier transport
3 Diffusion current, drift
4 Current, mobility and resistivity
5 Generation and recombination of carriers
6 P-N junction
7 Zener diode
8 BJT, MOS capacitor
9 MOSFET, LED
10  Poisson and continuity equations
11 Integrated circuit fabrication process
12 Oxidation, diffusion
13 Ion implantation
14 Photolithography
15 Twin-tub CMOS process
16  Photodiode and solar cell

(c)-ANALOG CIRCUITS:

1 Small signal equivalent circuits of diodes
2 BJTs and MOSFETs
3 Simple diode circuits
4 Clipping, clamping, and rectifiers
5 Single-stage BJT and MOSFET amplifiers
6 Biasing, bias stability
7  Mid-frequency small signal analysis and frequency response
8 BJT and MOSFET amplifiers
9 Multi-stage, differential, feedback
10 Power and operational
11  Simple op-amp circuits
12 Active filters
13 Sinusoidal oscillators
14 Criterion for oscillation
15 Single-transistor and opamp configurations
16 Function generators
17  Wave-shaping circuits and 555 timers
18 Voltage reference circuits
19 Power supplies
20 Ripple removal and regulation

(d)-DIGITAL CIRCUITS:

1 Number systems
2 Combinatorial circuits
3 Boolean algebra
4 Minimization of functions using Boolean identities and Karnaugh map
5 Logic gates and their static CMOS implementations
6 Arithmetic circuits
7 Code converters
8 Multiplexers
9 Decoders and PLAs
10 Sequential circuits
11 Latches and flip‐flops, counters
12 Shift‐registers and finite state machines
13 Data converters
14 Sample and hold circuits
15 ADCs and DACs
16 Semiconductor memories
17 ROM, SRAM, DRAM
18 8-bit microprocessor (8085)
19 Architecture, programming
20 Memory and I/O interfacing

(e)-CONTROL SYSTEMS:

1 Basic control system components
2 Feedback principle
3 Block diagram representation
4 Signal flow graph
5 Transient and steady-state analysis of LTI systems
6 Frequency response
7 Routh-Hurwitz and Nyquist stability criteria
8 Bode and root-locus plots
9 Lag, lead and lag-lead compensation
10  Transfer function
11 State variable model and solution of state equation of LTI systems

(f)-COMMUNICATIONS:

1 Random processes
2 Autocorrelation and power spectral density
3 Properties of white noise
4 Filtering of random signals through LTI systems
5 Analog communications
6 Amplitude modulation and demodulation
7 Angle modulation and demodulation
8 Spectra of AM and FM
9 Superheterodyne receivers
10 Circuits for analog communications
11  Information theory
12 Entropy, mutual information
13 Channel capacity theorem
14 Digital communications
15 PCM, DPCM, digital modulation schemes
16 Amplitude, phase and frequency shift keying
17 (ASK, PSK, FSK), QAM, MAP and ML decoding
18 Matched filter receiver
19  Calculation of bandwidth
20 SNR and BER for digital modulation
21 Fundamentals of error correction
22 Hamming codes
23 Timing and frequency synchronization
24 Inter-symbol interference and its mitigation
25 Basics of TDMA, FDMA and CDMA

(g)-ELECTROMAGNETICS:

1 Electrostatics; Maxwell’s equations
2 Differential and integral forms and their interpretation
3 Boundary conditions
4 Wave equation
5 Poynting vector
6 Reflection and refraction
7 Polarization, phase and group velocity
8 Propagation through various media, skin depth
9 Transmission lines
10  Plane waves and properties
11 Radiation pattern
12 Antennas: antenna types
13 Dispersion relations
14 Cut-off frequencies
15 Modes, boundary conditions
16 Waveguides
17 S-parameters, Smith chart
18 Impedance transformation
19 Impedance matchin
20  Equations, characteristic impedance
21 Gain and directivity
22 Return loss
23 Antenna arrays
24 Basics of radar
25 Light propagation in optical fibers

 

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GATE Syllabus for Electronics and Communication Engineering 2017-2018

 

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