### GATE 2019 Syllabus for Electronics and Communications

About GATE 2019 – To offer admission into M.Tech/M.Sc in engineering/ technology/ architecture and P.hD. GATE 2019, In relevant branches of science, Graduate Aptitude Test in Engineering (GATE) is a national level examination, and it is conducted Mock Tests have been released. It has to be mentioned that, GATE 2019 is managed by the IIT.

Of the GATE 2019 subjects, two categories have been divided into each. Overall, in regards to the core subjects, the corresponding sections (of the syllabus given below) of the question paper will contain 90% of their questions and the remaining 10% on Special Topics.

Like transmitter, receiver, integrated circuits (IC), Electronics & Communication Engineering deals with the electronic devices, circuits, communication equipment. It also deals with basic electronics, analogue and digital transmission & reception of data, voice and video (Example AM, FM, DTH), microprocessors, satellite communication, microwave engineering, antennae and wave progression. On the basic concepts and theories that will equip them in their professional work involving analysis, systems implementation, operation, production, and maintenance of the various applications in the field of Electronics and Communications Engineering, It aims to deepen the knowledge and skills of the students.

Syllabus for GATE 2019

Engineering Mathematics

Calculus: surface and volume integrals, Taylor series; Mean value theorems, theorems of integral calculus, evaluation of definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, line,

Linear Algebra: Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues and eigenvectors, rank, the solution of linear equations – existence and uniqueness.

Differential Equations: First order equations (linear and nonlinear), higher order linear differential equations, Cauchy’s and Euler’s equations, methods of solution using the variation of parameters, complementary function and particular integral, partial differential equations, variable separable method, initial and boundary value problems.

Vector Analysis: Vector operations, gradient, divergence and curl, Vectors in plane and space, Gauss’s, Green’s and Stoke’s theorems.

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

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, Correlation and regression analysis; probability distribution functions – binomial, Poisson, exponential and normal; Joint and conditional probability.

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: 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; 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.

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, photodiode and solar cell; Integrated circuit fabrication process: oxidation, diffusion, ion implantation, photolithography and twin-tub CMOS process.

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 op-amp configurations; Function generators, wave-shaping circuits and 555 timers; Voltage reference circuits; Power supplies: ripple removal and regulation.

Digital Circuits

Number systems; ROM, SRAM, DRAM; 8-bit microprocessor (8085): architecture, programming, memory and I/O interfacing; Sequential circuits: latches and flip‐flops, counters, shift‐registers and finite state machines; Data converters: sample and hold circuits, ADCs and DACs; Semiconductor memories; 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.

Control Systems

Essential control system components; 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; Feedback principle; Transfer function; Block diagram representation; Signal flow graph; Transient and steady-state analysis of LTI systems.

Communications

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; Random processes: autocorrelation and power spectral density, properties of white noise,filtering of random signals through LTI systems; entropy, mutual information and channel capacity theorem; Fundamentals of error correction, Hamming codes; Timing and frequency synchronization, inter-symbol interference and its mitigation; Basics of TDMA, FDMA and CDMA; Analog communications: amplitude modulation and demodulation, angle modulation and demodulation, spectra of AM and FM, superheterodyne receivers, circuits for analog communications; Information theory.

Electromagnetics

Reflection and refraction, polarization, phase and group velocity, propagation through various media, skin depth; modes, boundary conditions, cut-off frequencies, dispersion relations; Antennas: antenna types, radiation pattern, gain and directivity, return loss, antenna arrays; Electrostatics; Maxwell’s equations: differential and integral forms and their interpretation, boundary conditions, wave equation, Poynting vector; Plane waves and properties: Basics of radar; Light propagation in optical fibers; Transmission lines: equations, characteristic impedance, impedance matching, impedance transformation, S-parameters, Smith chart; Waveguides.

Exam Pattern for GATE 2019

 Exam Pattern for GATE 2019 Section Question No No of Questions Marks per Question Total Marks General Aptitude 1 to 5 5 1 5 6 to 10 5 2 10 Technical &  Engineering 1 to 25 25 1 25 Mathematics 26 to 55 30 2 60

Total Questions: 65

Total Marks: 100

Total Duration : 3 hours

Technical Section: 70 marks

General Aptitude: 15 marks

Engineering Mathematics: 15 marks

25 marks to 40 marks will be allotted to Numerical Answer Type Questions

Some Reference books for ECE – GATE 2019

• Electronic Devices and Circuits by Jacob Millman & Halkias
• Electronic Devices and Circuit Theory by Robert L Boylestad & Nashelsky
• Modern Digital Electronics by R. P. Jain
• Analog and Digital Communication System by Simon Haykin
Microprocessor Architecture, Programming & Application by Ramesh S. Gaonkar

Other GATE 2019 Syllabus and Information