Re: Previous VITMEE ECE Branch Question Papers
Here I am giving you question paper pattern for VITMEE ECE branch entrance examination organized by Vellore Institute of Technology conducts VITMEE
VITMEE Paper Pattern:
The exam is a computer based test
Total number of Questions: 110
Maximum Marks: 100
No Negative marks for wrong answers
Main Topics
The main topics included in this exam are:
Engineering Mathematics
Network
Analog circuits
Digital Circuits
Control Systems
Communication Systems
Electromagnetics Detailed Syllabus
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 nonlinear algebraic equations, single and multistep methods for differential
equations.
Transform Theory: Fourier transform, Laplace transform, Ztransform.
NETWORK
Network graphs: Matrices associated with graphs; incidence, fundamental cut set and fundamental circuit
matrices. Solution methods; nodal and mesh analysis. Network theorems; superposition, Thevenin and Nortan's,
maximum power transfer, wyedelta 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, convolution, 2port network parameters,
driving point and transfer functions, state equation for networks.
ANALOG CIRCUITS: Characteristics and equivalent circuits (large and small signal) of diodes, BJT, JFETs and
MOSFET simple diode circuits: clipping, clamping, rectifier, biasing and bias stability of transistor and FET
amplifiers. Amplifiers: single and multistage, differential, operational, feedback and power. Analysis of amplifiers;
frequency response of amplifiers. Simple opamp circuits. Filters. Sinusoidal oscillators: criterion for oscillation;
singletransistor and opamp configurations. Function generators and waveshaping circuits, Power supplies.
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 flipflops, counters and shiftregisters. Comparators, timers, multivibrators. Sample and hold
circuits, ADCs and DACs. Semiconductor memories. Microprocessor (8085): architecture, programming,
memory and I/O interfacing
CONTROL SYSTEMS
Basic control system components; block diagrammatic description, reduction of block diagrams, properties of
systems: linearity, timeinvariance, stability, causality. Open loop and closed loop (feedback) systems. Special
properties of linear timeinvariance (LTI) systemstransfer function, impulse response, poles, zeros, their
significance and stability analysis of these systems. Signal flow graphs and their use in determining transfer
SYLLABUS for M.Tech. ENTRANCE EXAMINATION
EC – ELECTRONICS AND COMMUNICATION ENGINEERING
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 proportionalintegralDerivative (PID)
control. State variable representation and solution of state equation for LTI systems.
COMMUNICATION SYSTEMS
Fourier analysis of signals  amplitude, phase and power spectrum, autocorrelation and crosscorrelation and their
Fourier transforms. Signal transmission through linear timeinvariant (LTI) systems, impulse response and
frequency response, group delay phase delay. Analog modulation systemsamplitude and angle modulation and
demodulation systems, spectral analysis of these operations, superheterodyne receivers, elements of hardwares
realizations of analog communication systems. Basic sampling theorems. 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). Signalto noise ratio (SNR) calculations for amplitude modulation (AM) and frequency
modulation (FM) for low noise conditions.
ELECTROMAGNETICS
Elements of vector calculus: gradient, divergence and curl; Gauss and strokes theorems, maxwells equation:
differential and integral forms. Wave equation. Poynting vector. Plane waves: propagation through various media;
reflection and refraction; phase and group velocity; skin depth Transmission lines: Characteristic impedence;
impedence transformation; smith chart; impedence matching pulse excitation. Wave guides: modes in rectangular
waveguides; boundary conditions; cutoff frequencies; dispersion relations. Antennas; Dipole antennas; antenna
arrays; radiation pattern; reciprocity theorem, antenna gain.
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