Ph.D. Admission for Autumn Semester of Academic Year 2023-24
ONLINE applications are invited for Admission to Ph.D. at IIT GOA
Application Portal has been closed.
List of provisionally shortlisted candidates for the written examination/ Interview round for the PhD Admission in the autumn semester of Academic Year 2023-24.
School of Mechanical Sciences
In-person written test/interview will be conducted on the 19th (Monday) and 20th (Tuesday) June, 2023, at IIT Goa, Farmagudi campus
School of Electrical Sciences
Ph.D. Admission – Syllabus
Written test/interview will be conducted on the 13th (Tuesday) and 14th (Wednesday) of June 2023.
Computational Imaging (Phase Retrieval), Interpretable Deep Learning. (Regular-TA)
Signal Processing for Super-resolution SONAR Imaging. (Regular-TAP).
Image Processing, Time Series Forecasting, Machine Learning. (Part-Time)
Syllabus:
- Fundamentals of Linear Algebra: Vector space, basis, linear dependence, independence, matrix algebra, rank, solution of linear equations- existence and uniqueness, eigenvalues and eigenvectors.
- Fundamentals of Probability Theory: combinatorial probability, probability distributions, expectations, moments, variance, binomial distribution, exponential distribution, normal distribution, joint and conditional probability.
- Continuous-time signals: Fourier series and Fourier transform, sampling theorem, and applications.
- Discrete-time signals: DTFT, DFT, z-transform, discrete-time processing of continuous-time signals.
- Fundamentals of LTI systems: definition and properties, causality, stability, impulse response, convolution, poles and zeroes, frequency response, group delay, phase delay.
- Random processes: autocorrelation and power spectral density, properties of white noise, filtering of random signals through LTI systems.
- Computer Programming Aptitude: Ability to write a program to execute a given task and understand a computer program. (MATLAB/Python)
AI ML IoT applications in drone-related technology and 5G. (Regular-TAP).
Syllabus:
- Fundamentals of Linear Algebra: Solution to system of linear equations, linear independence, basis and dimension. Vector spaces and subspaces. Subspaces associated with matrices. Singular value decomposition and eigen value decomposition. Principal component analysis. Orthogonality and linear transformations.
- Fundamentals of Probability Theory: Random variables, expectations, moments, PDF and CDF of random variables, 2D and multi-dimensional Gaussian random variables. Transformation of random variables.
- Fundamentals of Digital Communication: Baseband modulation – Power spectral density, line coding, pulse shaping – Nyquist criterion for base band transmissions, Pass-band modulation – M-ary ASK, FSK, PSK signaling, BER analysis, bandwidth efficient modulations.
- Fundamentals of Digital Logic Design: Number representation and Boolean Algebra. Combinational circuit analysis and design. K-map and tabulation methods. Multiplexers, decoders, adders/subtractors and PLD devices. Sequential circuit analysis anddesign
Industrial application of Electrical Discharge based Non-Thermal Plasma. (Regular-TA)
Syllabus:
- Generation of High Voltage AC, DC and Pulses, breakdown in gaseous insulation: ionisation, discharges, flashover, Townsend breakdown criterion, paschen’s law, uniform and nonuniform electric field
- Power system: Admittance model & network Calculation, Formation of Ybus, Power flow solution: Gauss Seidel, Newton Raphson, Decoupled load flow, Sequence Network: Symmetrical & unsymmetrical faults, Balanced and unbalanced system, Sequence Network, Fault analysis in power system, Power system stability: Swing equation, transient and steady state stability, Stability criteria
- Power Electronics: Power conversion AC to DC, DC to AC and DC to DC, HighFrequency Switching
VLSI Design (Regular-TA)
Syllabus:
- Circuit Analysis: Nodal and mesh analysis; Network theorems: superposition, Thevenin’s, Norton’s, maximum power transfer, and reciprocity; Wye‐Delta transformation; Steady state sinusoidal analysis; Time domain and frequency domain analysis of RL, RC, and RLC circuits.
- Electronic Devices: Basic semiconductor physics, Crystal structure, Energy bands in intrinsic and extrinsic silicon; Carrier concentration, Carrier transport: diffusion current, drift current, mobility, and conductivity; Generation and recombination of carriers; P-N junction diode, Zener diode, BJT, JFET, MOS capacitor, MOSFET.
- Analog Circuits: Small signal equivalent circuits of diodes, BJTs and MOSFETs; Simple diode circuits: clipping, clamping and rectifiers; Single-stage BJT and MOSFET amplifiers: biasing, ac coupling, small signal analysis; Simple op-amp circuits: amplifiers, summers, differentiators, integrators, Schmitt triggers, and filters.
- Digital Circuits: Number systems; Combinatorial circuits: Boolean algebra, minimization of functions using Boolean identities and Karnaugh map, logic gates and their static CMOS implementations, arithmetic circuits, code converters, multiplexers, and decoders; Sequential circuits: latches, flip‐flops, counters, and shift‐registers.
- Miscellaneous: Data converters: sample and hold circuits, ADCs and DACs; Semiconductor memories: SRAM, and DRAM; Computer organization: machine instructions, addressing modes, ALU, data-path, control-path, and instruction pipelining; 8-bit microprocessor (Intel 8085): architecture, programming, interrupts, and interfacing.
School of Mathematics and Computer Science
Mathematics
Interviews will be held online on 4th and 5th June 2023.
