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Graduate Aptitude Test in Engineering, GATE is conducted every year for admission into post-graduate programmes in various institutes across India. The exam is conducted every year by one of the IITs or IISc. **IIT Roorkee** is the organizing institute for **GATE**** Exam** this year. Various **Public Sector Undertakings** also use the **GATE Score** for the purpose of shortlisting candidates for various job openings.

GATE APPLICATION FORM | GATE EXAM PATTERN | GATE SYLLABUS | GATE PREPARATION | GATE RESULT | GATE CUTOFF |

This year the **GATE 2017 Application will commence from September 1, 2017.** GATE is undertaken in different subjects, below is the syllabus for **GATE Exam pattern** for Electronics and communication engineering.

GATE 2017 paper Pattern for ECE | |

Engineering Mathematics | Engineering Mathematics will have 13% of total marks weigh |

General Aptitude | General Aptitude will have 15% of total marks weigh |

Subject questions | Subject questions will have rest 72% of total marks weigh |

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Main Topics | Sub Topics |

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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Main Topics | Sub-Topics |

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 |

Main Topics | Sub-Topics |

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 |

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Main Topics | Sub-Topics |

Circuits | Small signal equivalent circuits of diodes, BJTs and MOSFETs |

Simple diode circuits | Clipping, clamping and rectifiers |

BJT and MOSFET amplifiers | Single-stage BJT and MOSFET amplifiers biasing, bias stability, mid-frequency small signal analysis and frequency response; 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 |

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Main Topics | Sub-Topics |

Introduction | 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 |

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Main Topics | Sub-Topics |

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 |

Main Topics | Sub-Topics |

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 band, 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 |

Main Topics | Sub-Topics |

Introduction | 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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