EC â€“ ELECTRONICS AND COMMUNICATION ENGINEERING

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

Greenâ€™s theorems.

Differential equations: First order equation (linear and nonlinear), Higher order linear differential

equations with constant coefficients, Method of variation of parameters, Cauchyâ€™s and Eulerâ€™s

equations, Initial and boundary value problems, Partial Differential Equations and variable

separable method.

Complex variables: Analytic functions, Cauchyâ€™s integral theorem and integral formula, Taylorâ€™s

and Laurentâ€™ series, Residue theorem, solution integrals.

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Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode

and standard deviation, Random variables, Discrete and continuous distributions, Poisson,

Normal and Binomial distribution, Correlation and regression analysis.

Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods

for differential equations.

Transform Theory: Fourier transform, Laplace transform, Z-transform.

ELECTRONICS AND COMMUNICATION ENGINEERING

Networks: 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 Nortonâ€™s maximum power transfer, Wye-Delta transformation.

Steady state sinusoidal analysis using phasors. Linear constant coefficient differential equations;

time domain analysis of simple RLC circuits, Solution of network equations using Laplace

transform: frequency domain analysis of RLC circuits. 2-port network parameters: driving point

and transfer functions. State equations for networks.

Electronic Devices: Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in

silicon: diffusion current, drift current, mobility, and resistivity. Generation and recombination of

carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET,

LED, p-I-n and avalanche photo diode, Basics of LASERs. Device technology: integrated circuits

fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-

tub CMOS process.

Analog Circuits: Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS.

Simple diode circuits, clipping, clamping, rectifier. Biasing and bias stability of transistor and FET

amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback, and power.

Frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators; criterion

for oscillation; single-transistor and op-amp configurations. Function generators and wave-

shaping circuits, 555 Timers. Power supplies.

Digital circuits: Boolean algebra, minimization of Boolean functions; logic gates; digital IC

families (DTL, TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, code

converters, multiplexers, decoders, PROMs and PLAs. Sequential circuits: latches and flip-flops,

counters and shift-registers. Sample and hold circuits, ADCs, DACs. Semiconductor memories.

Microprocessor(8085): architecture, programming, memory and I/O interfacing.

Signals and Systems: Definitions and properties of Laplace transform, continuous-time and

discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, DFT and FFT,

z-transform. Sampling theorem. Linear Time-Invariant (LTI) Systems: definitions and properties;

causality, stability, impulse response, convolution, poles and zeros, parallel and cascade

structure, frequency response, group delay, phase delay. Signal transmission through LTI

systems.

Control Systems: Basic control system components; block diagrammatic description, reduction

of block diagrams. Open loop and closed loop (feedback) systems 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 control systems 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 compensation, elements of Proportional-Integral-

Derivative (PID) control. State variable representation and solution of state equation of LTI control

systems.

Communications: Random signals and noise: probability, random variables, probability density

function, autocorrelation, power spectral density. Analog communication systems: amplitude and

angle modulation and demodulation systems, spectral analysis of these operations,

superheterodyne receivers; elements of hardware, realizations of analog communication

systems; signal-to-noise ratio (SNR) calculations for amplitude modulation (AM) and frequency

modulation (FM) for low noise conditions. Fundamentals of information theory and channel

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capacity theorem. Digital communication systems: pulse code modulation (PCM), differential

pulse code modulation (DPCM), digital modulation schemes: amplitude, phase and frequency

shift keying schemes (ASK, PSK, FSK), matched filter receivers, bandwidth consideration and

probability of error calculations for these schemes. Basics of TDMA, FDMA and CDMA and GSM.

Electromagnetics: Elements of vector calculus: divergence and curl; Gaussâ€™ and Stokesâ€™

theorems, Maxwellâ€™s equations: 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 impedance; impedance transformation;

Smith chart; impedance matching; S parameters, pulse excitation. Waveguides: modes in

rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations. Basics of

propagation in dielectric waveguide and optical fibers. Basics of Antennas: Dipole antennas;

radiation pattern; antenna gain.