VLSI Technology
Classical scaling in CMOS, Moore’s Law, Clean room concept, Material properties, crystal structure, lattice, characterization of material based on band diagram and bonding, conductivity, resistivity, sheet resistance, phase diagram and solid solubility.
Growth of single crystal Si, Wafer Cleaning and etching-Wet etch, Dry etch, Plasma etching, RIE etching, etch selectivity/selective etch, Lithography (Photolithography, EUV lithography, X-ray lithography, e-beam lithography etc.) Next generation technologies: Immersion lithography, Phase shift mask, ion lithography, SCALPEL.
Computer Networks
Introduction to Computer Networks: Network Topology, Layered Protocol Stack, Point-to-point and broadcast communications, LAN, WAN, MAN, and the Internet.
Delay analysis in circuit switching, message switching, and packet switching. Queuing models.
Application Layer Protocols: Domain Name System, Hyper Text Transfer Protocol (HTTP), File Transfer Protocol (FTP), SMTP/E-mail Applications, Voice over IP, and P2P protocols.
Digital Signal Processing
Discrete time signals and systems, Properties of LTI Systems, DTFT, Z-T/F; Minimum phase-All pass decomposition, Generalized linear phase; DFS, Frequency sampling and Time aliasing, DFT, Periodic & Circular convolutions; FFT computations using DIT and DIF algorithms; Infinite Impulse Response Digital Filter design: Impulse invariant and Bilinear transformation approaches, Finite Impulse Response Digital filter design: Windowing and Optimal Equiv.-ripple filter design; Filter structures and realization: Signal flow graph representation, Direct form I & II, Cascade and Parallel forms,
Probability, Statistics and Numerical Methods
Probability Theory: Elementary concepts on probability – axiomatic definition of probability –conditional probability – Bayes’ theorem – random variables – standard discrete and continuous distributions – moments of random variables – moment generating functions – multivariate randomvariables – joint distributions of random variables – conditional and marginal distributions – conditional expectation – distributions of functions of random variables – t and χ2 distributions – Schwartz and Chebyshev inequalities – weak law of large numbers for finite variance case – central limit theorem for i
Integral Transform, PDE and Calculus of Variations
Integral Transforms: The Fourier transform pair - algebraic properties of Fourier transform – convolution, modulation, and translation – transforms of derivatives and derivatives of transform – inversion theory. Laplace transforms of elementary functions – inverse Laplace transforms – linearity property – first and second shifting theorem – Laplace transforms of derivatives and integrals – Laplace transform of Dirac delta function – applications of Laplace transform in solving ordinary differential equations.
Analog Electronic Circuits
Basic stability and device stabilization techniques (BJT). Small signal low & high frequency models for (BJT, FET, MOSFET), Large signal amplifiers, Differential Amplifier, Instrumental amplifiers, Integrated circuits, Tuned amplifiers, Feedback amplifiers, Oscillators, Multivibrators, Wave shaping circuits, Filter design.
Linear Algebra, Complex Analysis and Fourier Series
Linear Algebra: matrices; solution space of system of equations Ax=b, eigenvalues and eigenvectors, Cayley-Hamilton theorem – vector spaces over real field, subspaces, linear dependence,independence, basis, dimension – inner product – Gram-Schmidt orthogonalization process – linear transformation; null space and nullity, range and rank of a linear transformation.