# GATE ECE Syllabus (2018 PDF Download) Syllabus Scope

GATE ECE (Electronics and Communications Engineering) Syllabus (GATE ECE Notes PDF and also Books, ECE Question Papers) : Download GATE ECE Syllabus in PDF for the upcoming year updated as per recent official notifications from the Indian Institute of Science. Electronic communications engineering (ECE) is the utilization of science and math applied to practical problems in the field of communications. Electronic communications engineers engage in research, design, development and testing of the electronic equipment used in various communications systems. The overall GATE ECE Syllabus for next exam has been officially released recently and we have provided below the updated details on that. With Proper preparation, GATE ECE Syllabus can be easily taken over to the perfection.

## GATE ECE Syllabus Details

 Syllabus Scope 8 Section GATE ECE Syllabus Download Total Subtopics Twenty Preparation Time 730 Hours

## Prelude to GATE ECE Syllabus

ECE is probably one among the few streams of engineering that has not got the same level of popularity as other flashy departments. Probably ECE doesn’t need publicity to increase the scope, as India is the land of billion people.

Even through the ECE Syllabus portion in GATE looks very huge and hard to study, once you start reading through few chapters, you will come to an absolute conclusion that GATE ECE Syllabus is one of the most interesting and easiest of all the papers in entire GATE Syllabus.

## GATE ECE Question Papers

Below we have provided the exclusive downloads of GATE ECE Question Papers. These ECE Question Papers have been compressed so that the download will be much faster and it will consume less internet data.

Note that these GATE ECE Question Papers has been optimized for viewing on Mobile Devices and Tablets.

## Section A: GATE ECE Syllabus

### Engineering Mathematics

Linear Algebra

1. Vector space, basis, linear dependence and independence,
2. matrix algebra, eigen values and eigen vectors,
3. rank, solution of linear equations – existence and uniqueness.

Calculus

1. Mean value theorems, theorems of integral calculus,
2. evaluation of definite and improper integrals, partial derivatives,
3. maxima and minima, multiple integrals,
4. line, surface and volume integrals, Taylor series.

Differential Equations

1. First order equations (linear and nonlinear),
2. higher order linear differential equations,
3. Cauchy’s and Euler’s equations,
4. methods of solution using variation of parameters,
5. complementary function and particular integral,
6. partial differential equations, variable separable method,
7. initial and boundary value problems.

Vector Analysis

1. Vectors in plane and space, vector operations, gradient,
2. divergence and curl, Gauss’s,
3. Green’s and Stoke’s theorems.

Complex Analysis

1. Analytic functions, Cauchy’s integral theorem,
2. Cauchy’s integral formula;
3. Taylor’s and Laurent’s series, residue theorem.

Numerical Methods

1. Solution of nonlinear equations,
2. single and multi-step methods for differential equations,
3. convergence criteria. Probability and Statistics

1. Mean, median, mode and standard deviation;
2. combinatorial probability,
3. probability distribution functions – binomial, Poisson,
4. exponential and normal;
5. Joint and conditional probability;
6. Correlation and regression analysis.

## Section B: GATE ECE Syllabus

### Networks, Signals and Systems

Network solution methods

1. Nodal and mesh analysis;
2. Network theorems: superposition, Thevenin and Norton’s, maximum power transfer;
3. Wye‐Delta transformation;
4. Steady state sinusoidal analysis using phasors;
5. Time domain analysis of simple linear circuits;
6. Solution of network equations using Laplace transform;
7. Frequency domain analysis of RLC circuits;
8. Linear 2‐port network parameters: driving point and transfer functions;
9. State equations for networks.

Continuous-time signals

1. Fourier series and Fourier transform representations, sampling theorem and applications;
2. Discrete-time signals: discrete-time Fourier transform (DTFT), DFT, FFT, Z-transform, interpolation of discrete-time signals;
3. LTI systems: definition and properties, causality, stability,
4. impulse response, convolution, poles and zeros,
5. parallel and cascade structure, frequency response, group delay,
6. phase delay, digital filter design techniques.

## Section C: GATE ECE Syllabus

### Electronic Devices

1. Energy bands in intrinsic and extrinsic silicon;
2. Carrier transport: diffusion current, drift current, mobility and resistivity;
3. Generation and recombination of carriers;
4. Poisson and continuity equations;
5. P-N junction, Zener diode, BJT, MOS capacitor,
6. MOSFET, LED, photo diode and solar cell;
7. Integrated circuit fabrication process: oxidation, diffusion, ion implantation,
8. photolithography and twin-tub CMOS process.

## Section D: GATE ECE Syllabus

### Analog Circuits

1. Small signal equivalent circuits of diodes, BJTs and MOSFETs;
2. Simple diode circuits: clipping, clamping and rectifiers;
3. Single-stage BJT and MOSFET amplifiers: biasing, bias stability, mid-frequency small signal analysis and frequency response;
4. BJT and MOSFET amplifiers: multi-stage, differential, feedback, power and operational;
5. Simple op-amp circuits;
6. Active filters;
7. Sinusoidal oscillators: criterion for oscillation, single-transistor and opamp configurations;
8. Function generators, wave-shaping circuits and 555 timers;
9. Voltage reference circuits;
10. Power supplies: ripple removal and regulation.

## Section E: GATE ECE Syllabus

### Digital Circuits

1. Number systems;
2. 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;
3. Sequential circuits: latches and flip‐flops, counters, shift‐registers and finite state machines;
4. Data converters: sample and hold circuits, ADCs and DACs; Semiconductor memories: ROM, SRAM, DRAM;
5. 8-bit microprocessor (8085): architecture, programming, memory and I/O interfacing.

## Section F: Gate ECE Syllabus

### Control Systems

1. Basic control system components; Feedback principle;
2. Transfer function; Block diagram representation;
3. Signal flow graph;
4. Transient and steady-state analysis of LTI systems;
5. Frequency response; Routh-Hurwitz and Nyquist stability criteria;
6. Bode and root-locus plots;
8. State variable model and solution of state equation of LTI systems.

## Section G: Gate ECE Syllabus

### Communications

1. Random processes: autocorrelation and power spectral density, properties of white noise, filtering of random signals through LTI systems;
2. Analog communications: amplitude modulation and demodulation, angle modulation and demodulation, spectra of AM and FM, superheterodyne receivers, circuits for analog communications;
3. Information theory: entropy, mutual information and channel capacity theorem;
4. 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;
5. Fundamentals of error correction, Hamming codes;
6. Timing and frequency synchronization, inter-symbol interference and its mitigation;
7. Basics of TDMA, FDMA and CDMA.

## Section H: GATE ECE Syllabus

### Electromagnetics

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

## Conclusion on GATE ECE Syllabus

It is always said that the wise men words are often neglected. However, we would like to again stress the fact that the ECE Syllabus in GATE is one of the most important and crucial things that has to be properly taken care of.

Not just for examination point of view, ECE Syllabus in GATE helps you in the overal development to become a good responsible officer who will play a crucial role in the development of the country in the decades to come.

ECE can be a good optional if you are extremely brilliant at it but i do have a few problems. ECE is going to help in any possible way.

If readers have any further questions on GATE ECE Syllabus, you can drop us a mail or even post your question below on our comments section.