If you are looking for **GATE** help for **Electronics & Communication Engineering 2017**. Then you are the right place. Here you can download full syllabus of Electronics & Communication Engineering in PDF.

For ECE students it’s very good to preparation for GATE 2017. Because of some major advantages for **GATE Qualified** Students.You can apply for Masters in well reputed Indian Government and self-finance colleges. You can also get the fellowship for Masters. Electronics & Communication Engineers also apply for the job in public sector companies through valid **GATE Score**.

__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

__Network solution methods: __

- nodal and mesh analysis

__Network theorems: __

- superposition, Thevenin and Norton’s, maximum power transfer
- WyeDelta 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 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, photodiode and solar cell

__Integrated circuit fabrication process:__- oxidation, diffusion, ion implantation, photolithography and twin-tub CMOS process

- 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:__- the 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

- 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

**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

__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

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