Linear Systems & Signals in 40 CharactersTITLE EC211 Linear Systems & Signals Analysis
1. COURSE PLAN AND EVALUATION PLAN
1. Course Code: EC211 2. Course Title: LINEAR SYSTEMS & SIGNALS
3. L – T – P: 3-1-0 4. Credits: 4
5. Pre-requisite: Nil 6. Teaching Department: Electronics & Communication Engg.
7. Course Instructor: Dr SUMAM DAVID S.
8. Objectives of the Course:
At the end of the program the student must be able to
• Analyse Electrical circuits – Steady state and transient • Apply time domain techniques to analyse LTI systems
• Analyse the behavior of continuous-time signals • Apply transform domain techniques to analyse signals & systems
• Apply frequency domain techniques to analyse signals & systems • Relate theoretical concepts to practical applications
• Appreciate the potential applications of concepts of S&S Study a course on Control systems or DSP
8. Course Coverage (40 – Lecture Schedule ) :
Module Contents Objectives Lecture/ Evaluation
Tutorial
Introduction Introduction to signals & systems – Objectives of the course, • Appreciate the relevance of the L1
motivation, continuous-time, discrete-time, digital signals and course
systems, course plan, evaluation method, references
Electric Circuit Analysis Circuit concept, circuit elements, independent and dependent • Analyse electric circuits with DC L2-L6 Application,
sources, network reduction techniques (star-delta), network excitation Analysis
equations, node voltage and mesh current analysis, Network
Theorems
Assignment I/Tutorial I
Time domain analysis of First order systems - Analysis of RL and RC circuits, • Analyse time domain behavior of RL L7-L10 Application,
linear systems and representation of systems using differential equations, and RC circuits for DC excitation Analysis
signals solution of differential equations, Transient and steady state • Analysis of coupled circuits
response, time constant, initial conditions, coupled circuits
Second order systems - RLC circuits, characteristic equation, • Analyse time domain behavior of L11-L14 Application,
damping, natural frequency, time domain specifications of RLC circuits for DC excitation Analysis
systems, State variable description • Representation of LTI systems
• Compute time domain parameters of
systems
Assignment II/Tutorial II
Basic signals, operations, and properties • Classify signals based on properties L15-L16
2. Systems, properties, linear-time invariant systems, impulse • Classify systems based on properties L17-L20 Application
response, convolution, correlation, causality and stability, • Analyse behaviour of LTI systems
Representation of LTI systems • Represent LTI systems
Assignment III/Tutorial III
Transform domain Laplace Transform: Definition and properties, inverse • Compute LT and inverse LT L21-L23 Application,
analysis of systems transforms, partial fraction expansion Analysis
Transform domain analysis of systems,equivalent sources for • Analyse systems using LT L24-L29 Application,
initial conditions, transform circuits, Impedence functions • Represent electric circuits using LT Analysis
and Network Theorems, transfer function, poles and zeros, • Relate system behavior to pole-zero
stability plot
Assignment IV/Tutorial IV
Frequency domain Steady state response of R,L,C and M elements to sinusoidal • Analyse behavior of electric circuits L30-L33 Application,
analysis of continuous excitation, series and parallel resonance, frequency domain for sinusoidal excitation Analysis
time signals and systems: specifications • Compute time domain parameters of
systems
Periodic signals, Fourier series representation, properties of • Represent periodic signals using FS L34-L36 Application,
Fourier series Analysis
Non-periodic signals, Fourier transform, properties of Fourier • Represent aperiodic signals using FT L37-L40 Application,
transforms and applications to systems, Parsevaal’s Theorem. • Analyse system behavior using FT Analysis
Assignment V/Tutorial V
9. Course web page : http://172.16.200.5/moodle
10. Reference Books
i. M.E. Van Valkenburg, Network Analysis, Pearson, 2008 iv. Simon Haykin, Signals & Systems, John Wiley, 1998 .
ii. RC.Dorf and J.A. Svoboda, Introduction to electric circuits, Wiley, 2009 v. Mc Chellan, R.W. Schafer & Yoder, Signal Processing First, Pearson 2003.
iii. J.W.Nillson and SA Riedel, Electric Circuits, PHI, 2000 vi. Ambarkar, Analog and Digital Signal Processing, Brooks Cole, 1999.
11. EVALUATION PLAN :
Mid semester exam - 25%
Assignments/Quiz - 25%
End semester exam - 50%
Prepared by: Approved by
Sumam David S. Sumam David S.
Course Instructor Head, Dept of E&C and DUGC Chairperson