Vellore Institute of Technology conducts VITMEE for admissions to its M.Tech and MCA programmes. Syllabus of VITMEE (ECE) exam for admission to M.Tech in Electronics and Communication covers key topics studied in the B.Tech course.

Main Topics

The main topics included in this exam are:

• Engineering Mathematics
• Network
• Analog circuits
• Digital Circuits
• Control Systems
• Communication Systems
• Electromagnetics

Detailed Syllabus

Topics under Engineering Mathematics

Linear Algebra:

• Matrix Algebra
• Systems of linear equations
• Eigen values and Eigen vectors

Calculus:

• Mean value theorems
• Theorems of integral calculus
• Evaluation of definite and improper integrals
• Partial Derivatives
• Maxima and minima
• Multiple integrals
• Fourier series
• Vector identities
• Directional derivatives
• Line
• Surface and Volume integrals
• Stokes
• Gauss and Green’s theorems

Differential equations:

• First order equation (linear and nonlinear)
• Higher order linear differential equations with constant coefficients
• Method of variation of parameters
• Cauchy’s and Euler’s equations
• Initial and boundary value problems
• Partial Differential Equations and variable separable method

Complex variables:

• Analytic functions
• Cauchy’s integral theorem and integral formula
• Taylor’s and Laurent’ series
• Residue theorem
• Solution integrals

Numerical Methods:

• Solutions of non-linear algebraic equations
• Single and multi-step methods for differential equations

Transform Theory:

• Fourier transform
• Laplace transform
• Z-transform

Topics under Network:

Network graphs

• Matrices associated with graph
• Incidence
• Fundamental cut set and fundamental circuit matrices
• Solution methods
• Nodal and mesh analysis

Network theorems

• Superposition
• Thevenin and Nortan’s maximum power transfer
• Wye-delta transformation
• Steady state sinusoidal analysis using phasors
• Fourier series
• Linear constant coefficient differential and difference equations
• Time domain analysis of simple RLC circuits
• Laplace and Z transforms
• Frequency domain analysis of RLC circuits
• 2-port network parameters
• Driving point and transfer functions
• State equation for networks

Topics under Analog circuits:

BJT, JFETs and MOSFET simple diode circuits

• Clipping
• Clamping
• Rectifier
• Biasing and bias stability of transistor and FET amplifiers

Amplifiers

• Single and multi-stage
• Differential
• Operational
• Feedback and power
• Analysis of amplifiers
• Frequency response of amplifiers
• Simple op-amp circuits
• Filters

Sinusoidal oscillators

• Criterion for oscillation
• Single-transistor and op-amp configurations
• Function generators and waveshaping circuits
• Power supplies

Topics under Digital Circuits:

Boolean algebra

• Minimization of Boolean functions
• Logic gates
• Digital IC families (DTL, TTL, ECL, MOS,CMOS)

Combinational circuits

• Arithmetic circuits
• Code converters
• Multiplexers and decoders

Sequential circuits

• Latches and flip-flops
• Counters and shift-registers

Microprocessor (8085)

• Architecture
• Programming
• Memory
• I/O interfacing

Topics under Control Systems:

Control Systems

• Basic control system components
• Block diagrammatic description
• Reduction of block diagrams
• Open loop and closed loop (feedback) systems

Properties of systems

• Linearity
• Time-invariance
• Stability
• Causality

Special properties of linear time-invariance (LTI)

• Systems-transfer function
• Impulse response
• Poles
• Zeros
• Significance and stability analysis of these systems

Signal flow graphs and their use in determining transfer functions of systems. Transient and steady state analysis of LTI system and frequency response

Tools and techniques for LTI control system analysis

• Root
• Loci
• Routh Hurwitz criterion
• Bode and Nyquist plots

Control system compensators

• Elements of lead and lag compensations
• Elements of proportional-integral-Derivative (PID) control

Topics under Communication Systems:

Fourier analysis of signals

• Amplitude
• Phase and power spectrum
• Auto-correlation and cross-correlation and their Fourier transforms
• Signal transmission through linear time-invariant (LTI) systems
• Impulse response and frequency response
• Group delay phase delay
• Analog modulation systems-amplitude and angle modulation and demodulation systems
• Spectral analysis of these operations
• Super heterodyne receivers
• Elements of hardware realizations of analog communication systems
• Basic sampling theorems

Modulation

• Pulse code modulation (PCM)
• Differential pulse code modulation (DPCM)
• Delta modulation (DM)

Digital modulation schemes

• Amplitude
• Phase and frequency shift keying schemes (ASK, PSK, FSK)
• Multiplexing – time division and frequency division
• Additive Gaussian noise characterization using correlation
• Probability density function (PDF)
• Power spectral density (PSD)
• Signal to- noise ratio (SNR) calculations for amplitude modulation (AM)
• Frequency modulation (FM) for low noise conditions

Topics under Electromagnetism:

Elements of vector calculus

• Gradient
• Divergence and curl
• Gauss and strokes theorems
• Maxwells equation
• Poynting vector

Plane waves

• Propagation through various media
• Reflection and refraction
• Phase and group velocity

Transmission lines

• Characteristic impedance
• Impedance transformation
• Smith chart
• Impedance matching pulse excitation

Wave guides

• Modes in rectangular waveguides
• Boundary conditions
• Cut-off frequencies
• Dispersion relations

Antennas

• Dipole antennas
• Antenna arrays
• Radiation pattern
• Reciprocity theorem
• Antenna gain

Exam preparation can be made with the help of prescribed textbooks and other materials available online.