501: ENGINEERING MATHEMATICS IV

Module 1

Probability distributions: random variables (discrete & continuous), probability density,mathematical expectation, mean and variance of a probability distribution, binomial distribution, Poisson approximation to the binomial distribution, uniform distribution ,normal distribution. Curve fitting: method of least squares, correlation and regression,lines of regression.

Module 2

Sampling distributions: population and samples, the sampling distribution of the mean unknown),σ known), the sampling distribution of the mean (σ( the sampling distribution of the variance, point estimation, interval estimation, tests of hypotheses, nul hypothese and significance tests, hypothesis concerning one mean, type I and type II errors,hypotheses concerning two means. The estimation of variances : Hypotheses concerning one variance - Hypotheses concerning two variances.

Module 3

Finite difference Operators: ∇, , Ε, δ, μ , x(n) .Newton’s Forward and Backward differences interpolation polynomials, central differences, Stirlings central differences interpolation polynomial. Lagrange interpolation polynomial, divided differences,Newton’s divided differences interpolation polynomial. Numerical differentiation:Formulae fo derivatives in the case of equally spaced points. Numerical integration:Trapezoidal and Simpson’s rules, compounded rules, errors of interpolation and integration formulae. Gauss quadrature formulae (No derivation fo 2 point and 3 point formulae)

Module 4

Numerical solution of ordinary differential equations: Taylor series method, Euler’s method, modified Euler’s method, Runge-Kutta formulae 4th order formula. Numerical solution of boundary value problems: Methods of finite differences, finite differences methods fo solving Laplace’s equation ii a rectangular region, finite differencesmethods fo solving the wave equation and heat equation.

Text Books:

1. Irvrin Miller & Freind : Probability And Statistics For Engineers, Prentice Hall OfIndia
2. S.S.Sastry: Numerical Methods, PHI Publishers.

References:

1. P.Kandaswamy K.Thilagavathy, K.Gunavathy: Numerical Mehtods, S.Chand & Co.
2. A.Papoulis: Probability,Random Variables And Stochastic Processes,MGH Publishers


502 ELECTROMAGNETIC THEORY

Module 1

Vector Analysis : Vector Algebra, Coordinate Systems and Transformation – Cartesian, Cylindrical and spherical coordinates, constant-coordinate surfaces, Vector Calculus – Differential length, area and volume, Line,surface and volume integrals, Del operator, Gradient of a scalar, Divergence of a vector, Divergence Theorem,Curl of a vector, Stoke’ s Theorem, Laplacian of a scalar, Classification of vector fields.

Module 2

Electrostatics: Electrostatic Fields – Coulomb’ s Law and field intensity, Electric fields due to continuous charge distributions, Electric flux density, Gauss’ s Law, Applications of Gauss’ s Law, Electric Potential, Relationship between E and V, Electric dipole, Energy density n Electrostatic fields,Electric fields n material space – Properties of materials, Convection and conduction currents, Conductors,Polarization n Dielectrics, Dielectric constant and strength, Linear, isotropic and homogeneous dielectrics,Continuity equation, relaxation time, Boundary conditions.Electrostatic Boundary value problems–Poisson’ s and Laplace’ s Equations, Uniqueness Theorem, Resistance and capacitance [Parallel-plate, coaxial, spherical capacitors].

Module 3

Magnetostatics and Maxwell’s equations: Magnetostatic fields – Biot-Savart’ s Law, Ampere’ s circuital law,Applications of Ampere’ s circuital law, Magnetic flux density, Magnetic scalar and vector potentials. Magnetic forces, Materials and devices – Forces due to magnetic fields, Magnetic torque and moment, Magnetic dipole,Magnetization n materials, Classification of Magnetic Materials, Magnetic boundary conditions, Inductors and inductances, Magnetic energy, Magnetic circuits. Faraday’ s Law, Displacement current, Time-harmonic fields,Maxwell’ s equations fr statc fields and time varying fields, Word statement.

Module 4

Electromagnetic wave propagation : Electromagnetic waves-Wave propagation in lossy dielectrics- Wave equations from Maxwell’ s equations, propagation constant, intrinsic impedance of the medium, complex permittivity, loss tangent, Plane waves n lossless dielectrics, Plane waves n free space – uniform plane wave,TEM wave, Plane waves n good conductors – skin effect, Poynting vector, Poynting’ s Theorem, Reflection of a plane wave at normal incidence – standing waves, Reflection of a plane wave at oblique incidence – parallel and perpendicular polarization, Brewster angle. Numerical Methods n Electromagnetics – Finite Difference, Finite Element and Moment method [Only the concept need be introduced – detailed study not required]


503 DIGITAL SYSTEM DESIGN

Module 1

Introduction to combinational modules and modular networks. Standard combinational modules, design of arithmetic modules. Programmable Logic Array, Devices- Basic ideas, PLD architecture- PAL & PLA, Implementation of combinational systems wth decoder, multiplexers, ROMs and PLAs. Implementation of multimodule combinational systems- decoder networks, Mux trees, demux network, encoder network. Shifter network and barrel shifters

Module 2

Introduction to digital systems, Synchronous and asynchronous- state diagram, state names, Mealy and Moore machines binary description. Time behavior of synchronous sequential systems, Minimization of no. of states,Specification of various types of sequential system

Module 3

Canonical implementation - analysis and synthesis of networks in the canonical implementation, Flip flop modules and networks. Standard sequential modules-Registers - shift register - counters - RAM - content addressable memories and programmable sequential arrays (PSA ).

Module 4

Design of sequential systems with small number of standard modules, State register and combinational networks -use of ROMs n sequential networks - Counter and combinational networks - RAM and combinational networks -SR and combinational networks. Multimodule implementation of sequential systems - Multimodule registers -Shift registers and RAMs - Multimodule counters.


504 ADVANCED MICROPROCESSORS

Module 1

Architecture 16 bit microprocessors: Intel 8086 Architecture Memory address space and data organization Segment registers and memory segmentation I/O address space- Addressing modes Comparison of 8086 and8088. Basic 8086/8088 configuration, Minimum mode-Maximum mode

Module 2

Intel 8086 programming: 8086 Instruction set. Instruction Classifications, Program development tools: editor,assembler, linker, locator, debugger and emulator. Use of DEBUG and MASM

Module 3

Architecture of 32 bit Microprocessors: Intel 80386 Architecture, Block Diagram, Segmentation, Paging, Real,Protected and Virtual modes, 80486 microprocessor Architecture, Block Diagram, Pentium Architecture Block Diagram, Superscalar Architecture, Branch Prediction. PentiumII, Pentium III, PentiumIV Processors (Block Diagram only).

Module 4

Introduction to micro controllers - comparison with microprocessors Study of micro controller (MCS 51 family- 8051) - Architecture, instruction set, addressing modes and programming - Comparison of various families of 8bit micro controllers. Interfacing of ADC, sensors, keyboard and DAC using microcontrollers


505 MICROELECTRONICS& INTEGRATED CIRCUITS

Module 1

Introduction to operational amplifiers –Internal block schematic of op amp - Op-amp parameters - ideal op amp - transfer curve - equivalent circuit –Open loop gain –input and output impedance – Frequency response, frequency compensation. Slew rate and its effect; Input bias current –offset - drift - compensating networks CMRR, SVRR, finite gain bandwidth and its effect in opamp circuits’ performance. Open loop configurations Op amp in closed loop configuration: Different feed back configurations- Voltage series feedback and voltage shunt feedback - concept of virtual ground- linear circuits: Summer- Subtractor Integrator and differentiator voltage follower - V/I converters, I/V converters and its applications - Differential amplifiers with one op amp and 3 op amps- Use of offset minimizing resistor (ROM) and its design. Instrumentation amplifier IC and its application

Module 2

Op amp applications- Log amplifier- Antilog amplifier- Comparators: zero crossing- using voltage referenceregenerative (Schmitt trigger) comparators, window detector application – OPAMP as comparators - Astable and monostable multivibrators- Triangular and saw tooth wave generators- - RC phase shift and Wien bridge oscillators-Sample and hold circuit- Peak detector circuit. Precision rectifiers. Filters : Transfer functions – LPF ,HPF,BPF, BRF Approximation methods –Butter worth – Chebyshev -Active Filters - I order and II order filters, Quality factor –Design- Gyrator- Negative Impendence Converter-Filter using Simulated Inductance –Universal Active Filters –All Pass filters. Switched Capacitive Filters

Module 3

Specialized ICs and applications: Voltage regulator IC 723, current limiting, short circuit protection, Thermal protection -555 timers – Functional block diagram- Astable multivibrator, monostable multivibrator and its applications.- 566 VCO chip- Phase locked loop(PLL) - block diagram ,Mathematical Derivation of capture rage , lock range and pull in time capture and lock range- 565 PLL - PLL applications: Frequency multiplication and division- AM demodulation- FM detection- FSK demodulation Analog multiplier circuits and applications. ADCand DAC –performance specification –weighted, R-2R ; successive approximation , flash, integrating.

Module 4

Introduction to Microelectronics: Monolithic and hybrid Ics- Bipolar & MOS Technology- Fabrication of active and passive components, bonding, packaging, - Concepts of SSI, LSI, VLSI. Introduction to thick film and thin film Technology – resistors- capacitors- comparison


506 DIGITAL SIGNAL PROCESSING

Module 1

Discrete Fourier Transform and properties - Fast Fourier Transform Decimation in time FFT algorithms -decimation in frequency FFT algorithms - FFT algorithms for N a composite number, Block convolution, Discrete Hilbert transform– Other discrete transforms -.Discrete Cosine transform- Wavelet transforms.

Module 2

FIR filter design using Fourier series - window functions - frequency sampling technique-Introduction to digital filter design – specifications- FIR Digital Filters - Realizations - direct - cascade - lattice forms - hardware implementation - Finite word length effects in FIR filter design- Applications of FIR filters.

Module 3

Analog filter approximations - Butterworth and Chebychev approximations – - IIR Digital Filters -Transformation techniques-The method of mapping of differentials - impulse invariant transformation - Bilinear transformation - Matched Z transform technique – IIR Filter Realizations - Direct - Cascade - Parallel forms -hardware implementation - - Finite word length effects in IIR filter design-effects due to truncation and roundinglimit cycles- Applications of IIR filters

Module 4

General DSP architecture- features _ on chip subsystems- memory organization-Addressing modes- Instruction types - TMS320C54X fixed point processor- TMS320C4X floating point processor-ADSP21XXX sharc processor.