# GATE Syllabus for Electronics and Communication Engineering

## GATE Syllabus for Electronics and Communication Engineering-(EC) | GATE Syllabus for EC

**The GATE Syllabus for Electronics and Communication Engineering-(EC) consists of:**

1 |
Engineering Mathematics |

2 |
Electronics and Communication Engineering |

### GATE Syllabus for Electronics and Communication Engineering-(EC)

#### 1-ENGINEERING MATHEMATICS SYLLABUS:

**The Engineering Mathematics Syllabus consists of:**

a |
Linear Algebra |

b |
Calculus |

c |
Differential Equations |

d |
Vector Analysis |

e |
Complex Analysis |

f |
Numerical Methods |

g |
Probability and Statistics |

**(a)-LINEAR ALGEBRA:**

1 | Vector space, basis |

2 | Linear dependence and independence |

3 | Matrix algebra |

4 | Eigen values and eigen vectors |

5 | Rank |

6 | Solution of linear equations |

7 | Existence and uniqueness |

#### (b)-CALCULUS:

1 | Mean value theorems |

2 | Evaluation of definite and improper integrals |

3 | Theorems of integral calculus |

4 | Partial derivatives |

5 | Maxima and minima |

6 | Multiple integrals |

7 | Line |

8 | Surface and volume integrals |

9 | Taylor series |

#### (c)-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 |

7 | Variable separable method |

8 | Initial and boundary value problems |

#### (d)-VECTOR ANALYSIS:

1 | Vectors in plane and space |

2 | Vector operations |

3 | Gradient |

4 | Divergence and curl |

5 | Gauss’s |

6 | Green’s and Stoke’s theorems |

#### (e)-COMPLEX ANALYSIS:

1 | Analytic functions |

2 | Cauchy’s integral theorem |

3 | Cauchy’s integral formula |

4 | Taylor’s and Laurent’s series |

5 | Residue theorem |

#### (f)-NUMERICAL METHODS:

1 | Solution of nonlinear equations |

2 | Single and multi-step methods for differential equations |

3 | Convergence criteria |

#### (g)-PROBABILITY AND STATISTICS:

1 | Mean, median, mode and standard deviation |

2 | Combinatorial probability |

3 | Probability distribution functions |

4 | Binomial, Poisson, exponential and normal |

5 | Joint and conditional probability |

6 | Correlation and regression analysis |

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#### 2-ELECTRONICS AND COMMUNICATION ENGINEERING SYLLABUS:

**The Electronics and Communication engineering syllabus consists of:**

a |
Networks, Signal, and Systems |

b |
Electronic Devices |

c |
Analog Circuits |

d |
DIGITAL Circuits |

e |
Control Systems |

f |
Communications |

g |
Electromagnetics |

#### (a)-NETWORKS, SIGNALS, AND SYSTEMS:

1 | Network solution methods |

2 | Nodal and mesh analysis |

3 | Network theorems |

4 | Superposition, Thevenin and Norton’s |

5 | Maximum power transfer |

6 | Wye‐Delta transformation |

7 | Steady state sinusoidal analysis using phasors |

8 | Time domain analysis of simple linear circuits |

9 | Solution of network equations using Laplace transform |

10 | Frequency domain analysis of RLC circuits; Linear 2‐port network parameters |

11 | Driving point and transfer functions |

12 | State equations for networks |

13 | Continuous-time signals |

14 | Fourier series and Fourier transform representations |

15 | Sampling theorem and applications |

16 | Discrete-time signals |

17 | Discrete-time Fourier transform (DTFT), DFT, FFT, Z-transform |

18 | Interpolation of discrete-time signals |

19 | LTI systems |

20 | Definition and properties, causality, stability |

21 | Impulse response, convolution |

22 | Poles and zeros |

23 | Parallel and cascade structure |

24 | Frequency response, group delay |

25 | Phase delay |

26 | Digital filter design techniques |

#### **(b)-ELECTRONIC DEVICES:**

1 | Energy bands in intrinsic and extrinsic silicon |

2 | Carrier transport |

3 | Diffusion current, drift |

4 | Current, mobility and resistivity |

5 | Generation and recombination of carriers |

6 | P-N junction |

7 | Zener diode |

8 | BJT, MOS capacitor |

9 | MOSFET, LED |

10 | Poisson and continuity equations |

11 | Integrated circuit fabrication process |

12 | Oxidation, diffusion |

13 | Ion implantation |

14 | Photolithography |

15 | Twin-tub CMOS process |

16 | Photodiode and solar cell |

#### (c)-ANALOG CIRCUITS:

1 | Small signal equivalent circuits of diodes |

2 | BJTs and MOSFETs |

3 | Simple diode circuits |

4 | Clipping, clamping, and rectifiers |

5 | Single-stage BJT and MOSFET amplifiers |

6 | Biasing, bias stability |

7 | Mid-frequency small signal analysis and frequency response |

8 | BJT and MOSFET amplifiers |

9 | Multi-stage, differential, feedback |

10 | Power and operational |

11 | Simple op-amp circuits |

12 | Active filters |

13 | Sinusoidal oscillators |

14 | Criterion for oscillation |

15 | Single-transistor and opamp configurations |

16 | Function generators |

17 | Wave-shaping circuits and 555 timers |

18 | Voltage reference circuits |

19 | Power supplies |

20 | Ripple removal and regulation |

#### (d)-DIGITAL CIRCUITS:

1 | Number systems |

2 | Combinatorial circuits |

3 | Boolean algebra |

4 | Minimization of functions using Boolean identities and Karnaugh map |

5 | Logic gates and their static CMOS implementations |

6 | Arithmetic circuits |

7 | Code converters |

8 | Multiplexers |

9 | Decoders and PLAs |

10 | Sequential circuits |

11 | Latches and flip‐flops, counters |

12 | Shift‐registers and finite state machines |

13 | Data converters |

14 | Sample and hold circuits |

15 | ADCs and DACs |

16 | Semiconductor memories |

17 | ROM, SRAM, DRAM |

18 | 8-bit microprocessor (8085) |

19 | Architecture, programming |

20 | Memory and I/O interfacing |

#### (e)-CONTROL SYSTEMS:

1 | Basic control system components |

2 | Feedback principle |

3 | Block diagram representation |

4 | Signal flow graph |

5 | Transient and steady-state analysis of LTI systems |

6 | Frequency response |

7 | Routh-Hurwitz and Nyquist stability criteria |

8 | Bode and root-locus plots |

9 | Lag, lead and lag-lead compensation |

10 | Transfer function |

11 | State variable model and solution of state equation of LTI systems |

#### (f)-COMMUNICATIONS:

1 | Random processes |

2 | Autocorrelation and power spectral density |

3 | Properties of white noise |

4 | Filtering of random signals through LTI systems |

5 | Analog communications |

6 | Amplitude modulation and demodulation |

7 | Angle modulation and demodulation |

8 | Spectra of AM and FM |

9 | Superheterodyne receivers |

10 | Circuits for analog communications |

11 | Information theory |

12 | Entropy, mutual information |

13 | Channel capacity theorem |

14 | Digital communications |

15 | PCM, DPCM, digital modulation schemes |

16 | Amplitude, phase and frequency shift keying |

17 | (ASK, PSK, FSK), QAM, MAP and ML decoding |

18 | Matched filter receiver |

19 | Calculation of bandwidth |

20 | SNR and BER for digital modulation |

21 | Fundamentals of error correction |

22 | Hamming codes |

23 | Timing and frequency synchronization |

24 | Inter-symbol interference and its mitigation |

25 | Basics of TDMA, FDMA and CDMA |

#### (g)-ELECTROMAGNETICS:

1 | Electrostatics; Maxwell’s equations |

2 | Differential and integral forms and their interpretation |

3 | Boundary conditions |

4 | Wave equation |

5 | Poynting vector |

6 | Reflection and refraction |

7 | Polarization, phase and group velocity |

8 | Propagation through various media, skin depth |

9 | Transmission lines |

10 | Plane waves and properties |

11 | Radiation pattern |

12 | Antennas: antenna types |

13 | Dispersion relations |

14 | Cut-off frequencies |

15 | Modes, boundary conditions |

16 | Waveguides |

17 | S-parameters, Smith chart |

18 | Impedance transformation |

19 | Impedance matchin |

20 | Equations, characteristic impedance |

21 | Gain and directivity |

22 | Return loss |

23 | Antenna arrays |

24 | Basics of radar |

25 | Light propagation in optical fibers |

##### GATE Syllabus for Electronics and Communication Engineering