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## Every Detail about syllabus of GATE ECE 2017

GATE syllabus have been notified. This article highlights the syllabus of GATE 2017 for Electronics and Communication stream.

### Electronics and Communication Syllabus for GATE 2017

Section 1: Engineering Mathematics

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 Stoke's theorems.

Complex Analysis: Analytic functions, Cauchy's integral theorem, Cauchy's integral formula; Taylor's and Laurent's series, residue theorem.

Numerical Methods: Solution of nonlinear equations, single and multi-step methods for differential equations, convergence criteria.

Probability and Statistics: Mean, median, mode and standard deviation; combinatorial probability, probability distribution functions - binomial, Poisson, exponential and normal; Joint and conditional probability; Correlation and regression analysis.

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Section 2: Networks, Signals and Systems

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 and transfer functions; State equations for networks.

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 3: Electronic Devices

Energy bands in intrinsic and extrinsic silicon

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

Integrated circuit fabrication process: Oxidation, diffusion, ion implantation, photolithography and twin-tub CMOS process.

Section 4: Analog Circuits

Small signal equivalent circuits of diodes, BJTs and MOSFETs

Simple diode circuits: Clipping, clamping and rectifiers; Single-stage BJT and MOSFET amplifiers: biasing, bias stability, mid-frequency small signal analysis and 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 and opamp configurations; Function generators, wave-shaping circuits and 555 timers; Voltage reference circuits

Power supplies: Ripple removal and regulation.

Section 5: 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 and 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.

FREE Daily Quiz on Electronics for
GATE-2017 Preparation

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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, circuits for analog communications

Information theory: Entropy, mutual information and 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 8: 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.

Best Wishes !!