general aptitude test. This subject examination paper is divided into two parts: Part A (Electronics) and Part B (Signal Processing and Communication)
There will be equal number of questions from Electronics (part-A) and from Signal processing and Communication (part-B). One should attempt questions from both parts in the stipulated time. selection for the interview will be based on the combined score in the two parts.
Part A - Electronics:
Networks: Nodal and mesh analysis, Wye-Delta transformation, steady state sinusoidal analysis, time and frequency domain analysis of RLC circuits, Laplace transformations, 2-port networks, Transfer functions.
Electronic Devices: Theory and Characteristics of Diodes such as Junction and Zener etc, Transistors such as BJT, JFET, and MOSFET etc, Photodiodes.
Analog Circuits: Small signal models and applications of diodes, BJTs, MOSFETs, Biasing of transistors, Types of Amplifiers, Op-amp circuits, Filters, Oscillators, Function generators and wave-shaping circuits.
Digital circuits: Boolean algebra, logic gates, Logic families, combinational, arithmetic, memory and sequential circuits, ADC, Microprocessors and Microcontrollers.
Control Systems: Components of control systems, Open and closed loop control systems, stability analysis, Routh-Hurwitz Criteria, Signal flow graphs, transient and steady state analysis of LTI control systems including frequency response, Root loci, Bode and Nyquist plots, lead and lag compensation, PID control.
Part B - Signal Processing and Communications:
Signals and Systems: Classification of signals, LTI system analysis, System properties, Fourier Series, Fourier Transform, discrete time Fourier series , Laplace Transform, Z-transform, System transfer function, Fourier analysis of LTI systems, Sampling theorem.
Probability theory and random processes: random variables, probability distribution function, probability density function, conditional probability, Bayes theorem, central limit theorem, functions of random variables, random processes, stationary random processes, auto-correlation and cross-correlation functions, power spectrum.
Communication Theory: Analog and Digital Modulation and demodulation, Superheterodyne Receivers, Quantization, Line Coding, Matched filters, Receiver structures in the presence of AWGN, Probability of error.
Digital Signal Processing: Discrete Fourier transform, FFT, Z-transform, Z-domain analysis of LTI systems, Circular convolution, Design of digital IIR and FIR filters.
Electromagnetics: Basics of Electromagnetics, Vector calculus, Maxwell’s equations, Wave equation, Transmission lines, matching networks, S-parameters, Basics of waveguides, optical fibers, and Antennas
STRUCTURAL ENGINEERING
Bending moments and shear forces in beams, stress and strain relations, principal stresses, Mohrs circle, simple bending theory, flexural and shear stresses, torsion, analysis of trusses and frames, analysis of indeterminate structures by force/displacement methods, matrix methods of structural analysis, working and limit state design concepts, design of compression members, beam, slab, footing, staircases, basic concepts of prestressed concrete, riveted and welded joints, steel beam column connections, plate girders and design of base plate.
In addition to this, some questions from engineering mathematics like determinants, matrices, limit, continuity and differentiability, mean value theorems, integral calculus, partial derivatives, maxima and minima, ordinary differential equations and applications, initial and boundary value problems, Laplace and Fourier transforms, test for convergence, sequences and series.
COMPUTATIONAL NATURAL SCIENCES AND BIOINFORMATICS
Selection for interview for the streams (i) Bioinformatics and (ii) Computational Natural Sciences will be based on the score in this paper and the score in the general aptitude test. This examination paper comprises of three sections: Physics, Chemistry, Biology & Bioinformatics, (physics and chemistry only for Post-B.Sc. programmes) and students, depending on their background are expected to attempt any one Section as a major and