Electrical Engineering

Shortlisted For MS/PhD Test/Interview [July 2022]

1How to Apply

You should submit your applications online

2Graduate Admissions Selection Process

The selection is a two-stage process for each thematic area of research. For the sake of convenience, we use some short keywords to identify each of these areas listed below

Thematic Area Name	Short Keyword
Communications, Networks and Signal Processing	EE1
Power Systems, Power Electronics and High Voltage Engineering	EE2
Micro & Nanoelectronics, MEMS, NEMS, Semiconductor Devices	EE3
Control Systems, Instrumentation Engineering, Biomedical & Healthcare Technology	EE4
RF + Photonics	EE5
Analog and Digital VLSI, Circuits	EE6
Control and Optimization	EE7

You should indicate your preferences while applying for the program. If you are unsure about your interests, you could choose multiple research themes without any fear. While the above themes are just indicative of our research work, we usually cross several themes ourselves. So, it may not be uncommon to work on the interface of two research themes.

You first need to write a 1 or 2 hours test that will probe your fundamentals in different themes as per your application. If you are successful in the written test, you will be called to interview with us on the same day. We make our final offers of admission based on both the written test and interview.

3Syllabi for the basic written tests on different Research Themes

Research Theme	Syllabus
EE1 – Communications, Networks and Signal Processing	Signals and Systems by Oppenheim and Willsky, Second Edition, Chapters 1 to 10. Discrete-time Signal Processing by Oppenheim and Schafer, Second Edition, Chapters 1 to 5 and Chapter 8. Probability, Random Variables and Stochastic Processes by Papoulis and Pillai, Fourth Edition, Chapters 1 to 5. Linear Algebra and its Applications by Gilbert Strang, Fourth Edition, Chapters 1 to 5 (OR) Linear Algebra and its Applications by David C Lay, Third Edition, Chapters 1 to 6. Solving all example problems and exercises from the above books is strongly recommended as preparation for the entrance exam. Sample questions from the written exams in the previous years can be found here Suggested video lectures: (1) Signals and Systems (first 29 lectures), (2)Linear Algebra
EE2 – Power Systems, Power Electronics and High Voltage Engineering	Power Electronics: Operation of buck, boost and buck boost converters, power semiconductor devices and characteristics, operation of inverters – 180 degree mode and SPWM operation – single phase and three phase, bridge converters – single and three phase. Electrical Machines: Theory and operation of single and three phase transformers, dc machines – separately excited, series and compound machines, induction machines – squirrel cage and wound rotor, cylindrical rotor synchronous machines. Methods of speed control of dc and induction machines. Power Systems: Transmission lines, Series and shunt compensation, Per‐unit quantities, Bus admittance matrix, Gauss-Seidel and Newton-Raphson load flow methods, Voltage and Frequency control, Power factor correction, Symmetrical components, Symmetrical and unsymmetrical fault analysis, Principles of over‐current, differential and distance protection; Circuit breakers, System stability concepts, Equal area criterion Control Systems: Transfer function of a dynamic system, positive and negative feedback, transient and steady state response, Routh-Hurwitz and Nyquist criteria, Bode plots, Root loci, Stability analysis, lead, lag and lead-lag compensation, P, PI and PID controllers, State space model, State transition matrix, eigen values. High Voltage: Generation and Measurement of High voltages, Insulation Failure mechanisms Instrumentation: Instrument transformers, Protective CTs/PTs, measurement of power and energy, types of energy meters and their operation, telemetering, remote terminal units, Data Acquisition systems, trivector meters and event/disturbance recorders. Books: Cooper Helfrick, “Electrical Instrumentation and Measuring Techniques”, Prentice Hall India, 1986 Grainger and Stevenson, Power System Analysis, Tata McGraw Hill Ned Mohan and Tore Undeland, Power Electronics, John Wiley Katsuhiko Ogata, Modern Control Engineering, Prentice Hall, 2010 M.S. Naidu and V.Kamaraju, High voltage Engineering, McGraw Hill Nagrath and Kothari, Electric Machines, McGraw Hill The students will need to answer as many questions as possible. Some sample questions may be found here
EE3 – Micro & Nanoelectronics, MEMS, NEMS, Semiconductor Devices	Course Content : Solid state devices – Crystals and Electronic grade materials; Formation of energy bands in solids; Concept of hole, Density of states and Fermi level; Intrinsic and extrinsic semiconductors; Equilibrium Carrier concentration; Direct and indirect semiconductors; Recombination and Generation of carriers, Carrier transport; Drift and Diffusion; Equations of state; Continuity and Poisson equation; pn junction; energy band diagram, derivation of dc and ac characteristics; Bipolar junction transistors; physics and characteristics MOS capacitor; MOSFET- physics, characteristics and modeling; Other devices: LEDs, Solar cells, metal-semiconductor junctions, solid state memoriesBooks : [1] Robert Pierret, Semiconductor Device Fundamentals, Pearson Education, 2006 [2] B. G. Streetman and S. K. Banerjee, Solid State Electronic Devices, Prentice Hall India, 2014 [3] M. S. Tyagi, Introduction to Semiconductor Materials and Devices, John Wiley, 2004 [4] Robert Pierret, Advanced Semiconductor Fundamentals, Pearson, 2003 [5] C.T. Sah, Fundamentals of Solid State Electronics, World Scientific Publishing, 1991 [6] Amitava DasGupta and Nandita DasGupta, Semiconductor Devices: Modelling And Technology, Prentice Hall India, 2004 [7] S. Karmalkar, Solid state devices, NPTEL video lectures available on youtube; transcripts available here Solving all example problems and exercises from the above reference books is strongly recommended as preparation for the entrance exam. Sample questions from the written exams in the previous years on Solid State Devices area can be found here. Please note that the written test will contain a part on basic engineering mathematics.
EE4 – Instrumentation Engineering, Biomedical & Healthcare Technology	The written examination will contain questions that aim to test the understanding of the fundamental principles that relate to the areas of activity of the EE4 group. Shortlisted students will accordingly be called for the interviews. The syllabus as follows: Measurements and Instrumentation stream topics Analog and digital circuits-filters, amplifiers, log amplifiers, AD/DA converters Principles of electric and magnetic measurements Bio-medical instrumentation-electronic systems for bio-medical application References: M. Mano, Digital Design, 3rd Ed, Prentice-Hall, 2001 2. Cooper, H., and Albert D. Helfrick. Modern Electronic Instrumentation and Measurement Techniques, 2005. Northrop, Robert B. Introduction to Instrumentation and Measurements. CRC Press, 2005. Franco, Sergio. Design with Operational Amplifiers and Analog Integrated Circuits. McGraw-Hill, 2001. The students will need to answer as many questions as possible. Sample questions can be viewed here Sample 1
EE5 – RF + Photonics	Electromagnetics – Vector analysis, Static electric and magnetic fields,Poissons, Laplace equations, method of images,steady electric currents,Time varying fields and Maxwells equations,Plane electromagnetic waves in free space,Reflection & transmission off an interface, Snell’s law, Rectangular Waveguides, Parallel plate/Two-wire/Coaxial transmission lines and Hertzian/Dipole antennas Solid State Electronic Devices and Circuits – Holes and electrons, Wave function of an electron, Density of states, Band diagram, Semiconductor Diodes, transistors, Operational Amplifiers (ideal/practical, op-amp circuits), Noise in circuits Signal Processing – Fourier Series, Fourier Transforms, Frequency Response, Sampling Theorem, Causality, stability, linearity and time invariance of filters, FIR vs IIR filters, group delay in filters Suggested books – Engineering Electromagnetics by Hayt and Buck, Electronic Devices and Circuit Theory by Robert Boylestead, Solid State Electronic Devices by Streetman and Banerjee, and Louis Nashelsky, and Signals and Systems by Oppenheim and Willsky. We also advise you to view the NPTEL lectures on electromagnetics http://nptel.iitm.ac.in, networks and systems http://nptel.iitm.ac.in, solid state devices and analog circuits. The students will need to answer as many questions as possible. Sample questions can be viewed here
EE6 – Analog and Digital VLSI, Circuits	Electrical Networks: Hayt and Kemmerly, Engineering Circuit Analysis, McGraw Hill, 6/e. Chapters 1-10. Analog electronics: (a) Sergio Franco, Design with operational amplifiers and analog ICs, Tata McGraw Hill. Chapters 1-5, 8-10 OR (b) Sedra and Smith, Microelectronic Circuits, Oxford University Press, USA. (various editions). Part I, chapters 1,6 in Part II. Digital systems and Design Automation: Topics: Number systems, combinational and sequential circuits, finite state machines, basic computer organization; data structures and algorithms; Reference books: Morris Mano, Digital Design, Prentice Hall, 3rd edition, 2001; Data Structures and Algorithm Analysis in C, Mark Weiss Note: The research areas in digital systems expect supporting background areas including algorithms and data structures, probability and random processes (for design automation), signal processing (for architecture exploration). Although no specific texts are specified in these areas, basic undergraduate level knowledge of these topics is assumed and will be tested. Solving all example problems and exercises from the above reference books is strongly recommended as preparation for the entrance exam. Sample questions from the written exams in the previous years Circuits can be found here. Please note that the written test will contain a common part on basic engineering mathematics.
EE7 – Control and Optimization	Topics for written exam Control systems: Modelling of dynamical systems, equilibrium points,linearization, transfer functions, positive and negative feedback, transient and steady-state response, Routh-Hurwitz and Nyquist criteria, Bode plots, root loci, stability analysis, lead and lag compensation, PID controllers, state-space model, state transition matrix, eigenvalues and eigenvectors, Jordan decomposition, controllability and observability, pole placement Mathematics: Vector space, linear dependence and independence of vectors, rank and kernel of a matrix, ordinary differential equations, continuity and differentiability of real-valued functions, basic axioms of probability. Click here for Sample paper Reference Books: Modern Control Engineering by Katsuhiko Ogata,Prentice-Hall of India Pvt.Ltd Modern Control Systems by Richard C. Dorf and Robert H. Bishop, Prentice-Hall NPTEL-based video lectures on Control System Advanced Engineering Mathematics by Erwin Kreyszig, Wiley Publications Higher Engineering Mathematics by B.S. Grewal, Khanna Publishers An Introduction to Ordinary Differential Equations by Earl A. Coddington, Dover Publications