College - Tele Syllabus - Sem 5

Applied Mathematics V

Probability and topics in Statistics. Statistical experiments with random outcomes, Sample space, probability defined on the basis of sample space and on the basis of events and their combinations. Theorem on probabilities, conditional probability. Bayes theorem. Random variable, probability distribution for discrete and continuous random variables. Density function and distribution functions. Expected values, variance , moments, moment generating functions, Bernoulli's trials, Binomial , Poisson, normal distributions for detailed study with proof, Other common distributions, T , F, Beta, Gamma, X with indication of the applications(without proof) Central limit theorem., Bivariate probability and frequency distributions, Correlations, regression, lines of regression. Introduction to random samples, use of random numbers, stochastic processes, Time series , queuing theory.

Bessel Functions: Bessel's differential equation (Statement only). Solution in series. Bessel's function. Bessel's function Jn(x). Statement of recurrence relation involving derivatives and integrals. Statement of orthogonal property. Expansion of Xk (k is a + ve integer) as a Fourier Bessel series.

Legendre's Differential Equations: Polynomial Solution Pn(x). Recurrence relation (Statement only) Rodrigues formula. Orthogonal property of Pn(x).

Partial Differential equation of transverse vibration of an elastic string and problems. Heat equations for time dependent problems (Statement only). Solution of one dimensional (transient) and two dimensional (steady state) using Fourier series method in cartesian and Boundary Value problem. Plane polar coordinates, corresponding boundary value problems.

Communication Engineering

Noise & Intermodulation Distortion: Noise, thermal noise, active noise, noise figure, factor sensitivity, design of low noise network, intermodulation distortion, harmonic distortion.

Frequency Selective Networks & Transformers: Series resonant circuits, parallel resonant circuits with transformers, and with tuned secondaries, impedance matching reactive networks.

High Frequency Amplifier Circuits: BJT high frequency amplifier, FET high frequency amplifier & neutralisation, feedback, broadband technique, cascade amplifiers, automatic gain control.

Hybrid & Transmission Line Transformers

Oscillator Circuits: Nyquist Criteria, Pierce Oscillator, amplitude stability, phase stability, crystal oscillator, series mode crystal oscillator, parallel mode crystal oscillator, FET oscillator, oscillator control using delay lines, integrated circuits oscillators, voltage controlled oscillators.

Phase Locked Loop Circuits: Phase detectors integrated circuit, phase detection filters, 1st and 2nd order phase lock loops. Application Tracking filters, Angle modulation, Amplitude modulation, phase shifter, signal synchronizer, Digital PLL.

Frequency Synthesizer Circuits: Direct frequency synthesis, Frequency synthesis by phase-lock, Variable modulus divider decon conversion, Direct Digital Synthesis.

Power Amplifier Circuits: Review of Transformer coupled linear power class B, class AB, class B + AB, class c amplifier, Frequency Multipliers, class D, class E and class S power amplifiers.

Mixers, Modulators & Demodulator Circuits: Frequency mixer, Switching type mixers, Diode ring mixers, Square law mixer, FET mixers, BJT mixers, Amplitude modulation SSb and Demodulation circuits, standard AM circuit, Balanced modulator circuit, Integrated balanced modulator, Average envelope detector circuit, synchronous detection circuit, FM modulation circuits, FM demodulators, Digital modulation and demodulation circuits, Integrated circuits.

Analog and Digital Integrated Circuits

Linear Application of OP-AMP: Inverting and Non-inverting, Summing amplifier, Differentiator, Integrator. Adder, Subtractor, Instrumentation amplifier, Voltage follower, V-I, I-V Converter, Precision Rectifiers, Peak Detectors, Clipper, Clamper, Sample/Hold, Log, Antilog, Multiplier, Gyrator.

Voltage Regulators: Specification, Functional Block diagram and applications of 723, 3T regulator ICs like 78xx series and LM317. Principles and working of switching mode regulator.

Timer IC 555: 555 Timer Functional Diagram and Specifications, Application as Monostable, Astable, Bistable, Pulse width modulator.

7107 block diagram, operational details. 7217 a 4-digit Counter, block diagram and operational details.

Power Control ICs: Temperature control and small d.c. motor speed regulation by ICs like SL440, PA436, CA3059 - their block diagram and operational details.

Basic Digital Circuits: Basic operation of gates, Noise margin, Transfer characteristics, Propagation delay and Fan out, Propagation delay of the following - CMOS inverter, TTL gates, ECL circuits. Comparison and interfacing of above logic families.

Combinational Digital Circuits: Functional logic diagram of following ICs their working and applications. Standard gate ICs, Digital Comparator, Decoder - Demultiplexer, Multiplexer, Encoder and their applications.

Sequential Circuits & Systems: Latch, Clocked SR flip-flop, JK, T, D type flip-flop, Asynchronous counters including design, Synchronous counters including design.

Filter Theory

Introduction: Network function, Properties of network function, Types of filters, Frequency and impedance denormalization, example of filter application.

Approximation: Magnitude approximation, Maximally flat frequency characteristics, Butter-worth function, Chebyshev polynomial, Inverse Chebyshev characteristics, Elliptical characteristics.

Transformation of the Complex Variables: Low pass to High pass, Low pass to Band pass, Narrow band approximation.

Phase Approximation: The function A(w), Finding N(s) from A(w), ideal transmission, Linear phase functions, Delay functions, Equalizer.

Passive Filters: Review of passive network sensitivity coupled resonator and band pass filter design.

Active Filters : Single amplifier RC active filters. Low pass single amplifier filters, Band pass and High pass single amplifier filters, Band pass and high pass single amplifier filter with infinite gain, positive negative feedback infinite gain filters, Higher order filters.

Multiple Amplifier RC active filters: State variable filter, Tow-Thomas filter, Aker-Mossberg filter, Biquadric filter, Universal active filter.

Switched Capacitor Filters: The switched capacitor, Effects of parasites, basic switched capacitor circuits, Switched capacitor Tow-Thomas circuit, Switched capacitor leap filter.

Microprocessors I.

Introduction to microprocessors: Features , Programmers model, external & internal organisation.

8085Architecture: 8085 Architecture & organisation, Instruction cycles, machine cycles and T-states, address decoding techniques, minimum system design, Memory interfacing with timing considerations, clock, reset & buffering circuits

8085 Instruction set: Instruction format, addressing modes, classification of instruction set.

8085 Programming: Assembly language programming:- basic structure, data transfer, arithmetical, logical, transfer of control & miscellaneous instruction types.

Stack & subroutines: Stack operations, limitations, subroutine concepts, parameter passing techniques, subroutine design, delay subroutine design & applications, Re-entrant & recursive subroutines, concept of counters and timers.

I/O data transfer techniques: I/O interface concepts, speed considerations, program controlled I/O, asynchronous & synchronous I/O techniques interrupt driven program controlled I/O, direct memory access data control techniques, handshake signals, concepts of serial communication, matrix keyboard & multiplexed display interface.

Interrupts: Requirements, single level interrupt, multilevel interrupt & vector interrupt system, 8085 interrupt structure and its operation,8259A interrupt controller.

I/O controllers: Features, organisation & operating modes of 8155 multifunction device,8255 programmable peripheral interface, 8254 programmable timer,8237 programmable DMA controller.

Principles of Control Systems.

Introduction Open loop and closed loop systems, regulating systems, servo mechanisms, Transfer function & impulse response of system.

Study of components: OP-Amp as differential amplifier or error detector, stepper motor, synchro control transformer, synchro control transmitter, potentiometer & two phase servo motor.

Modelling of systems: RLC circuits, armature & field controlled dc motors, importance of a mathematical model.

Block diagrams: Various techniques of block diagram reduction, Masons gain formula & its application to block diagram reduction.

Transient response of systems: Importance of second order system models, time domain specifications of system & analysis of transient response using second order model.

Steady state error analysis: Types of systems, steady state error analysis of different types of systems using step, ramp, parabolic input signals.

Stability analysis: Introduction to the concept of stability, stability analysis using Routh - Hurwitz criterion

Frequency domain analysis of systems: Frequency domain specifications of systems , Resonance peak & peak resonance frequency regarding complex poles and zeroes, Relationship between time & frequency domain specification of systems

Stability analysis of systems using Bode plots

Stability analysis of systems using root locus & the concepts of dominant, closed loop pole pair

Introduction to polar plots.

Principle of argument & its application to the study of stability of systems.

Constant gain & phase loci & their use in the stability study of systems