 # GATE Selection Program for Electronics and Communication Engineering

A Rigorous Study Plan of Videos & Questions to help you crack GATE Electronics and Communication Engineering Exam

### WHAT YOU WILL GET

• 300+ Hours of Video lectures covering entire Syllabus
• 30+ Practice Tests
• 5 All-India Mock Tests
• Unlimited Doubts Resolution on WhatsApp & Live Classes
• Personalized Study Planning
• No Limit on Number of Views
• Interview Assistance
• Online Access

### CUSTOMIZABLE FEATURES

#### TOTAL: 13,000 ### What is covered

• Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.

• Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.

• Linear Algebra: Matrix algebra; Systems of linear equations; Eigen values and Eigen vectors.

• Calculus: Functions of single variable; Limit, continuity and differentiability; Mean value theorems, local maxima and minima, Taylor and Maclaurin series; Evaluation of definite and indefinite integrals, application of definite integral to obtain area and volume; Partial derivatives; Total derivative; Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.

• Differential Equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy’s equation, Euler’s equation, Initial and boundary value problems, Partial Differential Equations, Method of separation of variables.

• 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: Solutions of nonlinear algebraic equations, Single and Multi‐step methods for differential equations.

• Probability and Statistics: Sampling theorems, Conditional probability, Mean, Median, Mode, Standard Deviation, Random variables, Discrete and Continuous distributions, Poisson distribution, Normal distribution, Binomial distribution, Correlation analysis, Regression analysis.

• 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.

• 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.

• Small signal equivalent circuits: 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.

• 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.

• 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.

• 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.

• 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.

• Electrostatics

### Faculty

This program has been created in collaboration with renowned faculty from IIT’s and top academicians in Mechanical Engineering

### FAQs

• Offline courses rely on the locally available teachers, which are not always best quality.

• They also carry with themselves a constraint of time and location.

• If you are a working professional you can't join one.

• Similarly, if you are in a small town you can't join any good institute.

• GATESchool brings you the best of academics and training to your doorstep.

• It's very simple.

• Choose the package you want to get.

• Make the payment and you are done!

• Within next 30 minutes you will get the login and password for the online access and within a week you will get the pendrive.

• There are a number of ways to do that.

• Firstly, you will be getting a mentor who will be a subject matter expert and will be calling you regularly.