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Syllabus
M3
Engineering Mathematics - III (Syllabus)
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EC
Electronic Circuits (Syllabus)

204181: Electronic Circuits

Credit 03

Unit I MOSFET & its Analysis 
Enhancement MOSFET:
Construction, Characteristics, DC Load line, AC equivalent ckt, Parameters,
Parasitics.
Non ideal characteristics: Finite output resistance, Body effect, Sub-threshold conduction, breakdown
effects, temperature effect, effect of W/L ratio, Common source amplifier & analysis, Source follower:
circuit diagram, comparison with common source, Frequency response for amplifier
Mapping of Course Outcomes for Unit I CO1: Assimilate the physics, characteristics and parameters of MOSFET towards its application as amplifier.

Unit II MOSFET Circuits
MOSFET as switch, CMOS inverter, resistor & diode. Current sink & source, Current mirror. Four types of
feedback amplifiers, Effects of feedback, Voltage series & current series feedback amplifiers and analysis,
Barkhausen criterion, Wein bridge & phase shift oscillator.
Mapping of Course Outcomes for Unit II CO2: Design MOSFET amplifiers, with and without feedback, & MOSFET oscillators, for given specifications.

Unit III Voltage Regulators
Three terminal voltage regulators (317 & 337):
Block diagram of linear voltage regulator, IC 317 and
IC337, Features and specifications, typical circuits, current boosting, Low Dropout Regulator (LDO).
SMPS: Block diagram, Types, features and specifications, typical circuits buck and boost converter.
Mapping of Course Outcomes for Unit III CO3: Analyze and assess the performance of linear and switching regulators, with their variants, towards applications in regulated power supplies.

Unit IV Operational Amplifier
Block diagram, Differential amplifier analysis for Dual input Balanced output mode - AC analysis (using r
parameters) & DC analysis, Level shifter, Op amp parameters, Current mirror, Op-amp characteristics (AC
& DC). Voltage series & voltage shunt feedback amplifiers, Effect on Ri, Ro, gain & bandwidth.

Mapping of Course Outcomes for Unit IV CO4: Explain internal schematic of Op-Amp and define its performance parameters.

Unit V Op-Amp Applications 
Inverting amplifier, non-inverting amplifier, Voltage follower, Summing amplifier, Differential amplifier,
Practical integrator, Practical differentiator, Instrumentation amplifier, Comparator, Schmitt trigger, Square & triangular wave generator.
Mapping of Course Outcomes for Unit V CO5: Design, Build and test Op-amp based analog signal processing and conditioning circuits towards various real time applications.

Unit VI Converters & PLL 
Voltage to Current, Current to Voltage converters.
DAC & ADC: Resistor weighted and R-2R DAC, SAR, Flash and dual slope ADC Types / Techniques,
Characteristics, block diagrams, Circuits, Specifications, Merits, Demerits, Comparisons.
PLL: Block Diagram, Characteristics, phase detectors, Details of PLL IC 565 Applications, Typical
circuits.
Mapping of Course Outcomes for Unit VI CO6: Understand and compare the principles of various data conversion techniques and PLL with their applications.

Learning Resources

Text Books:
1. Donald Neaman, “Electronic Circuits - Analysis and Design”, Mc Graw Hill, 3rd Edition.
2. Ramakant Gaikwad, “Op Amps & Linear Integrated Circuits”, Pearson Education.
Reference Books:
1. Millman Halkias, “Integrated Electronics”.
2. Phillip E. Allen and Douglas R. Holberg, “CMOS Analog Circuit Design”, Oxford, 2nd Edition.
3. Salivahan and Kanchana Bhaskaran, “Linear Integrated Circuits”, Tata McGraw Hill.


DC
Digital Circuits (Syllabus)

204182: Digital Circuits

Credit 03

Unit I Digital Logic Families
Classification and Characteristics of digital Logic Families: Speed, power dissipation, figure of merit,
fan in, fan out, current, voltage, noise immunity, operating temperatures and power supply requirements.
TTL logic. Operation of TTL NAND gate, active pull up, wired AND, open collector output, unconnected
inputs. Tri-State logic. CMOS logic: CMOS inverter, NAND, NOR gates, unconnected inputs, wired logic,
open drain output. Interfacing CMOS and TTL, Data sheet specifications.
Mapping of Course Outcomes for Unit I CO1: Identify and prevent various hazards and timing problems in a digital design.

Unit II Combinational Logic Design
Definition of combinational logic, canonical forms, Standard representations for logic functions, k-map
representation of logic functions (SOP and POS forms), minimization of logical functions for min-terms
and max-terms (upto 4 variables), don‟t care conditions, Design Examples: Arithmetic Circuits, BCD to
7 segment decoder, Code converters. Introduction to Quine- McCluskey method, Quine McCluskey
using don‟t care terms, Reduced prime implicants Tables.
Mapping of Course Outcomes for Unit II CO2: Use the basic logic gates and various reduction techniques of digital logic circuit.

Unit III Combinational Circuits 
Adders and their use as subtractor, look ahead carry, ALU, Digital Comparator, Parity generators/checkers, Multiplexers and their use in combinational logic designs, multiplexer trees, De- multiplexers and their use in combinational logic designs, Decoders, Demultiplexer trees.

Mapping of Course Outcomes for Unit III CO3: Analyze, design and implement combinational logic circuits.

Unit IV Sequential Logic Design 

1 Bit Memory Cell, Clocked SR, JK, MS J-K flip flop, D and T flip-flops. Use of preset and clear
terminals, hold and setup time and metastability.
Excitation Table for flip flop, Conversion of flip flops, Typical data sheet specifications of Flip flop
application of Flip flops.
Registers, Shift registers, Counters (ring counters, twisted ring counters), ripple counters, Mod-n counters,
up/down counters, synchronous counters, lock out, Clock Skew, Clock jitter. Effect on synchronous
designs, Sequence Generators.
Mapping of Course Outcomes for Unit IV CO4: Analyze, design and implement sequential circuits.

Unit V State Machines 
Basic design steps- State diagram, State table, State reduction, State assignment, Mealy and Moore
machines representation, Implementation, finite state machine implementation, Sequence detector.
Introduction to Algorithmic state machines- construction of ASM chart and realization for sequential
circuits
Mapping of Course Outcomes for Unit V CO5: Differentiate between Mealy and Moore machines.

Unit VI Programmable Logic Devices
Programmable logic devices: Detail architecture, Study of PROM, PAL, PLA, General Architecture,
features and typical specifications of FPGA and CPLD. Semiconductor memories: memory
organization and operation, expanding memory size, Classification and characteristics of memories,
RAM ROM, EPROM, EEPROM, NVRAM, SRAM, and DRAM. Designing combinational circuits
using PLDs.
Mapping of Course Outcomes for Unit VI CO6: Analyze digital system design using PLD.

Learning Resources

Text Books:
1. R.P. Jain, “Modern Digital Electronics”, Tata McGraw Hill Publication, 3rd Edition.

2. Thomas Floyd, “Digital Electronics”, 11th Edition.
3. M. Morris Mano, “Digital Logic and Computer Design”, Prentice Hall of India, 4th Edition.

4. Taub and Schilling, “Digital Principles and Applications,” TMH.
Reference Books:
1. Anand Kumar, “Fundamentals of Digital Circuits”, Prentice Hall of India, 1st Edition.

2. J. F. Wakerly, “Digital Design- Principles and Practices,”, Pearson, 3rd Edition.

3. M. M. Mano, “Digital Design,” Prentice Hall India.


ELECTRICAL C
Electrical Circuits (Syllabus)

204183: Electrical Circuits

Credit 03

Unit I Basic Circuit analysis & Simplification Techniques
Kirchhoff‟s Current and Voltage Laws, Independent and Dependent sources and their interconnection,
power calculations.
Network Analysis: Mesh, Super mesh, Node and Super Node analysis. Source transformation and source
shifting.
Network Theorems: Superposition, Thevenin‟s, Norton‟s and Maximum Power Transfer. (Analysis of
simple DC circuits using all above techniques & Analysis of simple AC circuits using only Mesh analysis)

Mapping of Course Outcomes for Unit I CO1: Analyze the simple DC and AC circuit with circuit simplification techniques.

Unit II Transient Analysis of Basic RL, RC and RLC Circuits
Initial conditions, Driven RL and RC circuits, source free RL and RC circuits, properties of exponential
response, Natural and Forced response of RL and RC circuits. Introduction to driven & Source free series
RLC circuit. Over damped and Under damped series RLC circuit.
Mapping of Course Outcomes for Unit II CO2: Formulate and analyze driven and source free RL and RC circuits.

Unit III Two Port Network Parameters and Functions
Terminal characteristics of network, Z, Y, h, ABCD Parameters; Reciprocity and Symmetry conditions,
Applications of the parameters.
Application of Laplace Transforms to circuit analysis, network functions for one port and two port
networks, poles and zeros of network functions and network stability.
Mapping of Course Outcomes for Unit III CO3: Formulate & determine network parameters for given network and analyze the given network using Laplace Transform to find the network transfer function.

Unit IV DC Machines 
Construction, working principle, derivation of emf equation, types, voltage equation of DC generator.
Working principle, derivation of Torque equation, types, voltage equation & speed equation of DC Motor.
Basic characteristics & different methods of speed control of DC Shunt and Series motor, Power flow
diagram of DC motor, Numericals on speed & torque.
Need of starter, three point & four point starters for DC shunt motor, applications of DC Motors.
Permanent Magnet DC motors (PMDC): Construction, Working and applications.
Mapping of Course Outcomes for Unit IV CO4: Explain construction, working and applications of DC Machines / Single Phase & Three Phase AC Motors.
CO6: Analyze and select a suitable motor for different applications.

Unit V AC Motors (Single phase & Three phase)
Three phase Induction motors:
Construction, working principle, types, concept of slip, effect of slip on
rotor parameters, derivation of torque equation, condition for maximum torque, torque ratios, Torque-slip
characteristics, Power flow diagram with numerical.
Single phase Induction motor: Construction, working principle, types and applications
Necessity of starters: Study of DOL & Star-Delta starters, speed control using V/f method, Applications.
Mapping of Course Outcomes for Unit V CO4: Explain construction, working and applications of DC Machines / Single Phase & Three Phase AC Motors.
CO6: Analyze and select a suitable motor for different applications.

Unit VI Special Purpose Motors 
BLDC Motor:
Types, Construction, working principle, Bipolar control circuit, torque-speed
characteristics and applications.
Stepper Motor: Types, Construction, working principle, different modes of operation, control circuit,
applications.
Introduction to Electric vehicle, block diagram, case study of any one electric vehicle with respect to
specifications of motor, battery and controller.
Mapping of Course
Outcomes for Unit VI CO5: Explain construction, working and applications of special purpose motors & understand motors used in electrical vehicles.
CO6: Analyze and select a suitable motor for different applications.

Learning Resources

Text Books:
1. Ravish R Singh, “Network Analysis & Synthesis”, McGraw-Hill Education.
2. B.L. Theraja, A.K. Theraja, “Electrical Technology”, Vol II, AC & DC Machines, S. Chand
Reference Books:
1. I.J Nagarath and D.P Kothari, “Electrical Machines”,Tata McGraw-Hill Publication 4th Edition.
2. William H. Hayt, Jack E. Kimmerly and Steven M. Durbin, “Electrical Circuit Analysis”, Tata
McGraw Hill publication, 7th Edition.
3. V K Mehta and Rohit Mehta, “Principles of Electrical Machines”, S Chand Publications.
4. A K Babu, “Electric & Hybrid Vehicle”, Khanna Publishing.


DS
Data Structures (Syllabus)

204184: Data Structures

Credit 03

Unit I Introduction to C Programming 
C Fundamentals:
Constants, Variables and Keywords in C, Operators, Bitwise Operations, Decision
Control and Looping Statements.
Arrays & Pointers: Arrays, Functions, Recursive Functions, Pointers, String Manipulations, Structures,
Union, Enumeration, MACROS.
File Handling: File Operations- Open, Close, Read, Write and Append.
Mapping of Course Outcomes for Unit I CO1: Solve mathematical problems using C programming language.

Unit II Searching and Sorting Algorithms
Algorithms:
Analysis of Iterative and Recursive algorithms, Space & Time complexity, Asymptotic
notation- Big-O, Theta and Omega notations.
Searching methods: Linear, Binary and Fibonacci Search.
Sorting methods: Bubble, Insertion, Selection, Merge, and Quick Sort.
Mapping of Course Outcomes for Unit II CO2: Implement sorting and searching algorithms and calculate their complexity.

Unit III Stack and Queue 
Stack:
Concept, Basic Stack operations, Array representation of stack, Stack as ADT, Stack Applications:
Reversing data, Arithmetic expressions conversion and evaluation.
Queue: Concept, Queue operations, Array representation of queue, Queue as ADT, Circular queue, Priority
Queue, Applications of queue: Categorizing data, Simulation of queue.
Mapping of Course Outcomes for Unit III CO3: Develop applications of stack and queue using array.

Unit IV Linked List 
Concept of linked organization, Singly Linked List, Stack using linked list, Queue using linked list,
Doubly Linked List, Circular Linked List, Linked list as ADT. Representation and manipulations of
polynomials using linked list, comparison of sequential and linked organization.
Mapping of Course Outcomes for Unit IV CO4: Demonstrate applicability of Linked List.

Unit V Trees

Introduction to trees: Basic Tree Concepts.
Binary Trees: Concept & Terminologies, Representation of Binary Tree in memory, Traversing a binary
tree.
Binary Search Trees (BST): Basic Concepts, BST operations, Concept of Threaded Binary Search Tree
AVL Tree: Basic concepts and rotations of a Tree.
Mapping of Course Outcomes for Unit V CO5: Demonstrate applicability of nonlinear data structures - Binary Tree with respect to its time complexity.

Unit VI Graphs 
Graph:
Basic Concepts & terminology.
Representation of graphs: Adjacency matrix, Adjacency list.
Operations on graph: Traversing a graph.
Spanning trees: Minimum Spanning tree- Kruskal‟s Algorithm, Prim‟s Algorithm and Dijkstra‟s Shortest Path Algorithm.
Mapping of Course Outcomes for Unit VI CO6: Apply the knowledge of graph for solving the problems of spanning tree and shortest path algorithm.

Learning Resources

Text Books:
1. Ellis Horowitz and Sartaj Sahni, “Fundamentals of Data Structures”, Galgotia Books Source,2nd Edition
2. Richard. F. Gilberg and Behrouz A. Forouzan, “Data Structures: A Pseudocode Approach with C,”
Cengage Learning, 2nd Edition.

Reference Books:
1. E Balgurusamy, “Programming in ANSI C”, Tata McGraw-Hill, 3rd Edition.

2. Yedidyah Langsam, Moshe J Augenstein and Aaron M Tenenbaum “Data structures using C and C++”
PHI Publications, 2nd Edition.

3. Reema Thareja, “Data Structures using C”, Oxford University Press, 2nd Edition.


OOPs
Object Oriented Programming (Syllabus)

Unit I Foundation of Object Oriented Programming (08 Hrs)
Introduction to procedural, modular, object-oriented and generic programming techniques, Limitations of
procedural programming, Need of object-oriented programming, fundamentals of object-oriented
programming: objects, classes, data members, methods, messages, data encapsulation, data abstraction and
information hiding, inheritance, polymorphism. Inline functions, Function overloading, call by value and
call by reference, return by reference, functions with default arguments, this pointer, illustrative Simple
C++ Programs. Dynamic initialization of variables, memory management operators, Member dereferencing
operators, operator precedence, typecast operators, Scope resolution operators, arrays.

Unit II Classes & Objects (06 Hrs)
Defining class, Defining member functions, static data members, static member functions, private data
members, public member functions, arrays of objects, objects as function arguments.
Constructors and Destructors: types of constructors, handling of multiple constructors, destructors.
(Complex Class & String Class)

Unit III Operator Overloading (06 Hrs)
Fundamentals of Operator Overloading, Restrictions on Operators Overloading, Operator Functions as
Class Members vs. as Friend Functions, Overloading Unary Operators, Overloading Binary Operators,
Overloading of operators using friend functions.

Unit IV Inheritance & Polymorphism (06 Hrs)
Introduction to inheritance, base and derived classes, friend classes, types of inheritance, hybrid
inheritance, member access control, static class, multiple inheritance, ambiguity, virtual base class,
Introduction to polymorphism, pointers to objects, virtual functions, pure virtual functions, abstract base
class, Polymorphic class, virtual destructors, early and late binding, container classes, Contained classes,
Singleton class.

Unit V Templates, Namespaces and Exception handling (06 Hrs)
Templates: Introduction, Function template and class template, function overloading vs. function
templates
Namespaces: Introduction, Rules of namespaces
Exception handling: Introduction, basics of exception handling, exception handling mechanism, throwing
and catching mechanism, specifying exceptions, Multiple Exceptions, Exceptions with arguments C++
streams, stream classes, unformatted I/O, formatted I/O and I/O manipulators.
 

Unit VI Working with files (06 Hrs)
Introduction, classes for file Stream Operations, opening and closing files, detecting End_Of_File (EOF),
modes f File Opening, file pointers and manipulators, updating file, error handling during file operations.
 

Text Books:
1. E Balagurusamy, “Programming with C++”, Tata McGraw Hill, 3rd Edition.
2. Herbert Schildt, “The Complete Reference C++”, 4th Edition.
Reference Books:
1. Robert Lafore, “Object Oriented Programming in C++”, Sams Publishing, 4th Edition.
2. Matt Weisfeld, “The Object-Oriented Thought Process”, Pearson Education.


CS
Control Systems (Syllabus)

Unit I Introduction to Control Systems & its modelling(06 Hrs)
Basic Elements of Control System, Open loop and Closed loop systems, Differential equations and
Transfer function, Modeling of Electric systems, Translational and rotational mechanical systems, Block
diagram reduction Techniques, Signal flow graph.

Unit II Time domain analysis (06 Hrs)
Time domain analysis: transient response and steady state response, standard test inputs for time domain
analysis, order and type of a system, transient analysis of first and second order systems, time domain
specifications of second order under damped system from its step response, Steady state error and static
error constants.

Unit III Stability analysis (08 Hrs)
Characteristic equation of a system, concept of pole and zero, response of various pole locations in s-plane,
concept of stability absolute stability, relative stability, stability of system from pole locations, Routh Hurwitz stability criterion, Root locus: definition, magnitude and angle conditions, construction of root locus, concept of dominant poles, effect of addition of pole and zero on root locus. Application of root locus for stability
analysis.

Unit IV Frequency domain analysis (08 Hrs)
Frequency response and frequency domain specifications, correlation between time domain and frequency
domain specifications, polar plot, Nyquist stability criterion and construction of Nyquist plot, Bode plot,
determination of frequency domain specifications and stability analysis using Nyquist plot and Bode plot.
 

Unit V State space representation (06 Hrs)

State space advantages and representation, Transfer function from State space, physical variable form,
phase variable forms: controllable canonical form, observable canonical form, Solution of homogeneous
state equations, state transition matrix and its properties, computation of state transition matrix by Laplace
transform method only.

Unit VI Controllers and Digital Control Systems (06 Hrs)
Concept of Controller, Basic ON-OFF Controller, Concept of Dead Zone, Introduction to P, I, D, PI, PD and PID controller, OFFSET of Controller, Integral Reset, PID Characteristics. Concept of Zeigler-
Nicholas method. Concept of Industrial Automation, Need of IoT based Industrial Automation.

Text Books:
1. N. J. Nagrath and M. Gopal, “Control System Engineering”, New Age International Publishers, 5
th Edition.
2. K. Ogata, “Modern Control Engineering”, Prentice Hall India Learning Private Limited; 5th Edition.
Reference Books:
1. Benjamin C. Kuo, “Automatic control systems”, Prentice Hall of India, 7th Edition.
2. M. Gopal, “Control System – Principles and Design”, Tata McGraw Hill, 4th Edition.
3. Schaum‟s Outline Series, “Feedback and Control Systems” Tata McGraw-Hill.
4. John J. D‟Azzo and Constantine H. Houpis, “Linear Control System Analysis and Design”, Tata
McGraw-Hill, Inc.
5. Richard C. Dorf and Robert H. Bishop, “Modern Control Systems”, Addison – Wesley.


PCS
Principles of Communication Systems (Syllabus)

Unit I Signals & spectra (08 Hrs)
Introduction to Communication System, Analog and Digital messages, regenerative repeaters, Signal
Bandwidth & Power. Size & classification of signal, exponential Fourier series, concept of negative
frequencies. Fourier transform and properties, Frequency shifting, Concept of baseband and bandpass
signals, Signal transmission through LTI system. Signal energy & Energy Spectral density. Signal power &
Power Spectral Density, Input and output PSD, PSD of modulated signal.

Unit II AM transmission & reception for signal tone (08 Hrs)
Need for frequency translation, Amplitude modulation (DSB-C), Double sideband Suppressed carrier
(DSB-SC) modulation, Single sideband modulation ( SSB), Vestigial Sideband modulation
(VSB),Spectrum and Bandwidth of AM, DSB-SC, SSB & VSB, Calculation of modulation index for AM
wave, Modulation index for more than one modulating signals, Power and power efficiency, AM reception

Unit III FM transmission & reception for signal tone (08 Hrs)
Phase Modulation (PM) and Frequency Modulation (FM), Relationship between Phase and Frequency
Modulation, Modulation Index, Spectrum of FM (single tone): Feature of Bessel Coefficient, Power of FM
signal, Bandwidth of tone modulated FM signal, modulation index : AM vs. FM, Spectrum of constant
Bandwidth‟ FM, Narrowband and Wideband FM.
FM Modulators and Demodulators: FM generation by Armstrong‟s Indirect method, frequency
multiplication and application to FM, FM demodulator.

Unit IV Pulse Modulation (06 Hrs)
Need of analog to digital conversion, sampling theorem for low pass signal in time domain, and Nyquist
criteria, Types of sampling- natural and flat top. Pulse amplitude modulation & concept of TDM: Channel
bandwidth for PAM, equalization, Signal Recovery through holding. Pulse Width Modulation (PWM) and
Pulse Position Modulation (PPM): Generation & Detection.

Unit V Digital Representation of Analog Signals (06 Hrs)
Quantization of Signals: Quantization error, Uniform & Non-Uniform types of Quantization, Mid-rise &
Mid-tread Quantizer.
Companding: A-law & μ-law.
Pulse Code Modulation system: Generation & Reconstruction, Differential Pulse code modulation, Delta
Modulation, Adaptive Delta Modulation.

Unit VI Baseband Digital Transmission (06 Hrs)
Line codes: Properties and spectrum.
Digital Multiplexing and hierarchies: T1, AT&T, E1, CCITT, Scrambling & Unscrambling.
Synchronization: Carrier Synchronization, Bit Synchronization and Frame Synchronization. Intersymbol
Interference, Equalization.

Text Books:
1. Taub, Schilling and Saha, “Principles of Communication Systems”, McGraw-Hill, 4th Edition.
2. B P Lathi, Zhi Ding, “Modern Analog and Digital Communication System”, Oxford University
Press, 4th Edition.
Reference Books:
1. Bernard Sklar and Prabitra Kumar Ray, “Digital Communications Fundamentals and Applications”,
Pearson Education 2nd Edition.

2. Wayne Tomasi, “Electronic Communications System”, Pearson Education, 5
th Edition.
3. A.B Carlson, P B Crully and J C Rutledge, “Communication Systems”, Tata McGraw Hill
Publication, 5th Edition.

4. Simon Haykin, “Communication Systems”,John Wiley & Sons, 4th Edition.


S&S
Signals & Systems (Syllabus)

204191: Signals & Systems

Credit 03 + 01 = 04

Unit I Introduction to Signals & Systems

Signals: Introduction, Graphical, Functional, Tabular and Sequence representation of Continuous and
Discrete time signals. Basics of Elementary signals: Unit step, Unit ramp, Unit parabolic, Impulse,
Sinusoidal, Real exponential, Complex exponential, Rectangular pulse, Triangular, Signum, Sinc and
Gaussian function.
Operations on signals: time shifting, time reversal, time scaling, amplitude scaling, signal addition,
subtraction, signal multiplication. Communication, control system and Signal processing examples.

Classification of signals: Deterministic, Random, periodic , Non periodic, Energy , Power, Causal , Non-
Causal, Even and odd signal.

Systems: Introduction, Classification of Systems: Lumped Parameter and Distributed Parameter System,
static and dynamic systems, causal and non-causal systems, Linear and Non- linear systems, time variant
and time invariant systems, stable and unstable systems, invertible and non- invertible systems.

Unit II Time domain representation of LTI System

Input-output relation, definition of impulse response, convolution sum, convolution integral, computation
of convolution integral using graphical method for unit step to unit step, unit step to exponential,
exponential to exponential, unit step to rectangular and rectangular to rectangular only. Computation of
convolution sum. Properties of convolution. System interconnection, system properties in terms of impulse
response, step response in terms of impulse response.

Unit III Fourier Series

Fourier series (FS) representation of periodic Continuous Time (CT) signals, Dirichlet condition for
existence of Fourier series, orthogonality, basis functions, Amplitude and phase response, FS representation of CT signals using trigonometric and exponential Fourier series. Applications of Fourier series, properties of Fourier series and their physical significance, Gibbs phenomenon.

Unit IV Fourier Transform

Fourier Transform (FT) representation of aperiodic CT signals, Dirichlet condition for existence of Fourier
transform, evaluation of magnitude and phase response, FT of standard CT signals, Properties and their
significance, Interplay between time and frequency domain using sinc and rectangular signals, Fourier
Transform for periodic signals.

Unit V Laplace Transform

Definition of Laplace Transform (LT), Limitations of Fourier transform and need of Laplace transform,
ROC, Properties of ROC, Laplace transform of standard periodic and aperiodic functions, properties of
Laplace transform and their significance, Laplace transform evaluation using properties, Inverse Laplace
transform based on partial fraction expansion, stability considerations in S domain, Application of Laplace
transforms to the LTI system analysis.

Unit VI Probability and Random Variables

Probability: Experiment, sample space, event, probability, conditional probability and statistical
independence, Bayes theorem, Uniform and Gaussian probability models.
Random variables: Continuous and Discrete random variables, cumulative distributive function,
Probability density function, properties of CDF and PDF. Statistical averages, mean, moments and
expectations, standard deviation and variance.

Text Books:
1. Simon Haykins and Barry Van Veen, “Signals and Systems”, Wiley India, 2nd Edition.

2. M.J. Roberts “Signal and Systems”, Tata McGraw Hill 2007.
Reference Books:
1. Charles Phillips, “Signals, Systems and Transforms”, Pearson Education, 3 rd Edition.

2. Peyton Peebles, “Probability, Random Variable, Random Processes”, Tata Mc Graw Hill, 4
th Edition.
3. A. Nagoor Kanni “Signals and Systems”, Mc Graw Hill, 2nd Edition.