CENTER FOR ENGINEERING STUDIES

Near Dr. Kheras Coaching Center

SCO. 2409-10, Sector 22-C

Ph. 09729055167, 09991801769

Electronics and Communication Engineering

Networks:

1. Network graphs: matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices.

1. Solution methods: nodal and mesh analysis.

1. Network theorems: superposition, the venin and Norton's maximum power transfer, Wye-Delta transformation.

1. Steady state sinusoidal analysis using phasors.

1. 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.

1. 2-port network parameters: driving point and transfer functions.

1. State equations for networks.

Electronic Devices:

1. Energy bands in silicon, intrinsic and extrinsic silicon.

1. Carrier transport in silicon: diffusion current, drift current, mobility, and resistivity.

1. Generation and recombination of carriers.

1. P -n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche photo diode, Basics of LASERs.

1. Device technology: integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-tub CMOS process.

Analog Circuits:

1. Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS.

1. Simple diode circuits, clipping, clamping, rectifier.

1. Biasing and bias stability of transistor and FET amplifiers.

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

1. Frequency response of amplifiers.

1. Simple op-amp circuits. Filters.

1. Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp configurations.

1. Function generators and wave-shaping circuits, 555 Timers.

1. Power supplies.

Digital circuits:

1. Boolean algebra, minimization of Boolean functions; logic gates; digital IC families (DTL,

TTL, ECL, MOS, CMOS).

1. Combinatorial circuits: arithmetic circuits, code converters, multiplexers, decoders, PROMs and PLAs.

1. Sequential circuits: latches and flip-flops, counters and shift-registers.

1. Sample and hold circuits, ADCs, DACs.

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

Signals and Systems:

1. 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.

1. Sampling theorem.

1. 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.

1. Signal transmission through LTI systems.

Control Systems:

1. Basic control system components; block diagrammatic description, reduction of block diagrams.

1. Open loop and closed loop (feedback) systems and stability analysis of these systems.

1. Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI control systems and frequency response.

1. Tools and techniques for LTI control system analysis: root loci, Routh-Hurwitz criterion, Bode and Nyquist plots.

1. Control system compensators: elements of lead and lag compensation, elements of Proportional-Integral-Derivative (PID) control.

1. State variable representation and solution of state equation of LTI control systems.

Communications:

1. Random signals and noise: probability, random variables, probability density function, autocorrelation, power spectral density.

1. Analog communication systems: amplitude and angle modulation and demodulation systems, spectral analysis of these operations, super heterodyne 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.

1. Fundamentals of information theory and channel capacity theorem.

1. 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:

1. Elements of vector calculus: divergence and curl; Gauss' and Stokes' theorems, Maxwell's equations: differential and integral forms.

1. Wave equation, Poynting vector.

1. Plane waves: propagation through various media; reflection and refraction; phase and group velocity; skin depth.

1. Transmission lines: characteristic impedance; impedance transformation; Smith chart; impedance matching; S parameters, pulse excitation.

1. Waveguides: modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations.

1. Basics of propagation in dielectric waveguide and optical fibers. Basics of Antennas: Dipole antennas; radiation pattern; antenna gain.

Engineering Mathematics

Linear Algebra:

1. Matrix Algebra, Systems of linear equations, Eigen values

And Eigen vector

Calculus:

1. Mean value theorems, Theorems of integral calculus, series.

1. Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, multiple integrals, Fourier

1. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.

Differential equations:

1. 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:

1. Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals.

Probability and Statistics:

1. 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:

1. Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.

Transform Theory:

Fourier transform, Laplace transform, Z-transform

YEAR

Network

Electronics

Analog

Digital

Signal &

Control

Communi-

cation

EMT

Micro

Engg.

Reasoning &

Theory

Devices &

Circuits

circuits

System

Systems

Systems

Processors

Maths

Aptitude

Circuits

2003

18

19

21

19

10

14

31

16

02

00

-

2004

15

20

14

15

16

21

23

14

08

00

-

2005

17

09

25

14

18

17

17

13

04

17

-

2006

12

12

16

13

11

20

26

18

02

22

-

2007

10

08

24

16

09

19

23

16

06

19

-

2008

16

14

13

16

18

19

19

12

04

18

-

2009

10

08

12

13

15

10

14

08

01

09

-

2010

09

10

15

06

07

09

11

08

03

13

15

2011

09

09

10

07

11

09

10

10

02

08

15

Avg.

9.63

09.07

12.50

9.78

9.74

11.26

(14.19)

9.48

2.60

11.52

15.00