Get complete information on GATE Syllabus for ECE 2022. Check the chapter-wise weightage and download the pdf of ECE Syllabus for GATE 2022.

The Graduate Aptitude Test in Engineering (GATE) is an entrance examination conducted by IIT Kharagpur for candidates who want to pursue their post-graduation in an engineering course or get recruited by Public Sector Undertakings (PSUs). By taking this examination, the candidate’s understanding of undergraduate subjects in engineering and science is tested. The Indian Institute of Science (IISc) and the 7 original Indian Institutes of Technology (IIT) are responsible for conducting the GATE exams across India. Clearing this exam is a tough task and with lakhs of candidates writing the GATE exam every year, the candidate should work harder and remain focused on achieving the goal of scoring well in the exam.

One of the most common subjects chosen by candidates is Electronics & Communication Engineering (ECE) and to ace the examination, the candidate has to focus on the syllabus as well as the topics that have weightage. The syllabus and the weightage are as follows:

## GATE Syllabus for ECE 2022

### Section 1: Engineering Mathematics

**Calculus**:

- Evaluation of definite and improper integrals
- Line, surface, and volume integrals
- Taylor series.
- Maxima and minima
- Multiple integrals
- Mean value theorems
- Partial derivatives
- Theorems of integral calculus

**Complex Analysis:**

- Analytic functions
- Cauchy's integral formula
- Cauchy's integral theorem
- Residue theorem.
- Taylor's and Laurent's series

**Differential Equations**:

- Cauchy's and Euler's equations
- Complementary function and particular integral, partial differential equations
- First-order equations (linear and nonlinear)
- Higher-order linear differential equations
- Initial and boundary value problems.
- Methods of solution using a variety of parameters
- Variable separable method

**Linear Algebra:**

- Basis, linear dependence, and independence
- Matrix algebra
- Eigenvalues and Eigen vectors
- Vector space
- Rank, solution of linear equations – existence and uniqueness.

**Numerical Methods:**

- Convergence criteria.
- Single and multi-step methods for differential equations
- Solution of nonlinear equations

**Probability and Statistics:**

- Combinatorial probability
- Correlation and regression analysis.
- Joint and conditional probability
- Mean, median, mode, and standard deviation
- Poisson, exponential and normal
- Probability distribution functions - binomial

**Vector Analysis: **

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

### Section 2: Networks, Signals, and Systems

**Continuous-time signals: **

- Discrete-time signals: discrete-time
- Fourier series and Fourier transform representations
- Interpolation of discrete-time signals
- Fourier transform (DTFT), DFT, FFT, Z-transform
- 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.
- Sampling theorem and applications

**Network solution methods:**

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

### Section 3: Electronic Devices

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

### Section 4: Analog Circuits

- Active filters
- BJTs and MOSFETs
- 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
- Function generators, wave-shaping circuits, and 555 timers
- Power supplies: ripple removal and regulation.
- Simple op-amp circuits
- Sinusoidal oscillators: criterion for oscillation, single-transistor and op-amp configurations
- Small signal equivalent circuits of diodes
- Simple diode circuits: clipping, clamping, and rectifiers
- Voltage reference circuits

### Section 5: Digital Circuits

- Data converters: sample and hold circuits, ADCs and DACs
- 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
- Semiconductor memories: 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

### Section 6: Control Systems

- Basic control system components
- Bode and root-locus plots
- Frequency response
- Block diagram representation
- Lag, lead and lag-lead compensation
- Signal flow graph
- Feedback principle
- State variable model and solution of state equation of LTI systems.
- Transfer function
- Routh-Hurwitz and Nyquist stability criteria
- Transient and steady-state analysis of LTI systems

### Section 7: Communications

**Digital communications: **

- Hamming codes
- Amplitude, phase, and frequency-shift keying (ASK, PSK, FSK),
- Basics of TDMA, FDMA, and CDMA.
- Fundamentals of error correction
- Matched filter receiver
- PCM, DPCM
- SNR and BER for digital modulation
- Digital modulation schemes
- QAM, MAP, and ML decoding
- Calculation of bandwidth
- Timing and frequency synchronization, inter-symbol interference and its mitigation

**Random processes:**

- Analog communications: amplitude modulation and demodulation
- Angle modulation and demodulation
- Autocorrelation and power spectral density
- Circuits for analog communications
- Filtering of random signals through LTI systems
- Properties of white noise
- Spectra of AM and FM
- Information theory: entropy, mutual information, and channel capacity theorem.
- Superheterodyne receivers

### Section 8: Electromagnetics

**Electrostatics **

- Boundary conditions
- Maxwell’s equations: differential and integral forms and their interpretation
- Plane waves and properties: reflection and refraction, polarization, phase and group velocity, propagation through various media, skin depth;
- Poynting vector
- Wave equation

**Transmission lines:**

- Characteristic impedance
- Equations
- Impedance matching
- Impedance transformation
- Smith chart
- S-parameters

**Waveguides: **

- Antennas and its’ types
- Basics of radar
- Boundary conditions
- Cut-off frequencies
- Dispersion relations
- Gain and directivity
- Light propagation in optical fibers.
- Modes
- Radiation pattern
- Return loss, antenna arrays

## GATE Syllabus for ECE Books

- Electronics and Communication Engineering
- Higher Engineering Mathematics by Dr B.S. Grewal
- Network Theory by Alexander Sadiku
- Integrated Electronics:- Jacob Millman & Christos C. Halkias
- Signals & Systems By Alan V. Oppenheim
- Automatic Control Systems by Benjamin C. Kuo
- Analog and Digital Communication System by Simon Haykin
- Elements of Electromagnetics by Matthew N.O. Sadiku
- Semiconductor devices by David Neamen

## GATE Syllabus for ECE Weightage

Subject | The weightage (Marks) 2020 | The weightage (Marks) 2019 | The weightage (Marks) 2018 |
---|---|---|---|

Analog Circuits | 10 | 12 | 10 |

Communications | 11 | 12 | 10 |

Control Systems | 12 | 11 | 10 |

Digital Circuits | 9 | 8 | 12 |

Electromagnetic | 9 | 14 | 13 |

Electronic Devices | 12 | 14 | 14 |

Engineering Mathematics | 15 | 15 | 15 |

Networks, Signals & Systems | 6+6 | 6+8 | 9+7 |

## FAQs

- Where do I find the study materials for the GATE exam?
A: There are several coaching centers that provide study materials at a cost. You can refer to the books mentioned in the article too

- Which subject should I begin with to prepare for my GATE exam?
A: You can start with the easiest subject like general aptitude as it helps you build confidence, and then you can slowly move on to the tougher subjects like mathematics and ECE.

- What is the approximate time taken to finish the syllabus if I self-study?
A: It depends on the candidate's capabilities like basic knowledge of subjects, aptitude, concentration level, and most importantly, the hard work they put into ace the examination.

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