Title of the Course: Signals and Systems 1 EE 215L- 3T- 1P- Cr- 4

Scheme of EvaluationISE SE-I SE-II ESE Minimum for Passing 10 20 20 50 40

Pre-Requisite Courses: Maths III , Basic Electrical Engineering (EE 101)

Textbook:Required: A.V. Oppenheim, A.S. Willsky, S.H. Nawab, Signals and Systems, Prentice Hall, 1997.Supplemental: Ashok Ambardar, Analog and Digital Signal Processing, CL Engineering, 1999

References:1.B. P. Lathi, Linear systems and signals ,Oxford University press, 20052. M. J. Roberts , Signals and systems, Tata Macgraw Hill,20053. Simon Haykin, Barry Van Veen, Signals and systems ,Wiley, 20034. Hwei P Hsu, Schaums Outline Signals and Systems, Tata Macgraw Hill, 1995

Overall Educational Objective:1. On completion of the course, students should be sufficiently familiar with the theoretical structure, formal representation, computational methods, notation, and vocabulary of linear models2. To be able to apply them to the analysis and design of digital and analog communications and control systems.3. The students will be able to perform signal analysis with reference to spectrum analysis of deterministic signals.

Course Learning Outcomes:1. Be able to find the response of linear systems in the time domain.2. Be able to represent and analyze systems in the frequency domain.3. Be able to analyze continuous time system responses using the concepts of transfer function representation4. Be able to apply time and frequency domain methods to gain an understanding of communication systems and feedback control systems.5. Be able to Understand the basics of discrete-time systems and signal processing.6. Be able to analyze discrete time signals and systems in the time domain using the impulse response and convolution concepts. Use computers and MATLAB to simulate and analyze signals and systems 7. Be able to effectively communicate and understand problems related to the course

Assessments:Teachers Assessment based on - Quiz/Home assignments/Mini Projects/any other (10%), called as In Semester Evaluation (ISE). Two examinations, for continuous evaluation during the term, SE I & SE II (20% each). Each examination will be of one hour duration and will be assessed for 20 Marks on 33% of the syllabus covered (between start of the term and first examination, generally based on Module 1 and 2 for SE I and between first & second examination, generally based on Module 3 and 4 for SE II). ESE (50%) The semester end examination of two hours duration and will be assessed for 50 Marks and would be on entire syllabus with weightage 20% each for the syllabus of SE I (module 1 and 2)and SE II (Module 3 and 4) and 60% on the syllabus covered after SE II (Module 5 and 6).

Course Content:Module 1: Introduction to Signals and Systems Continuous and Discrete - 8 hrsIntroduction, standard signals, signal representation, classification of signals, systems representation, classification, Linear, Time invariant, causal, BIBO stable, Static, dynamic.Module 2: Time Domain Analysis of Continuous and Discrete Time Systems- 8 hrsZero state and Zero input response, Impulse response, Convolution integral and convolution sum, graphical representation of convolution.Module 3: Fourier Domain Analysis of Continuous Time Signal 10 hrs.Trigonometric Fourier series, Compact Trigonometric Fourier series, Exponential form, Dirichlet Conditions, Frequency domain representation of periodic signals, Fourier Transform representation of aperiodic signals, Properties of CFT duality, time reversal, Convolution time and frequency domain, etc. Module 4: Laplace Transform Analysis of Signals and System- 6hrs.Definition, Properties, Solution of differential equation. Transfer function, Poles and Zeroes, System analysis using Laplace Transform, min-max phase systemsModule 5: Fourier Domain Analysis of Discrete Time Signal. 8hrs.Representation of CT signals using Samples, Nyquest Sampling Theorem Discrete time Fourier Transform, Representation of aperiodic sequence, Properties of DTFT: time reversal, Linear Convolution time and frequency domain, conjugate symmetry. Discrete Fourier Transform: Definition and Properties. Module 6: Z Transform Analysis of Discrete Time Signals and Systems- 6 hrs.Definition, Properties, Solution of difference equation. Transfer function, Poles and Zeroes, System analysis using Z-Transform, Minimum phase maximum phase system, FIR, IIR systems, All pass systems, Zero phase systems

Module wise Measurable Students Learning Outcomes 1. Understand fundamental characteristics of Signals and Systems.2. Analyze response of linear continuous-time and discrete-time signals and systems. Use MATLAB to simulate and to analyze signals and systems of these cases. 3. Apply time-domain and frequency-domain analysis tools to linear continuous systems.4. Analyze continuous-time signals and system responses using the concepts of transfer function representation by use of Laplace and inverse Laplace transforms. Use MATLAB to simulate and analyze signals and systems using these transforms.5. Apply time-domain and frequency-domain analysis tools to linear discrete systems. Explore sampling concepts that link continuous-time and discrete-time signals and systems. Use MATLAB to simulate and to analyze signals and systems for this situation.6. Analyze discrete-time signals and system responses using the concepts of transfer function representation by use of Z and inverse-Z transforms. Use MATLAB to simulate and analyze signals and systems using these transforms.

Outcomes as regards to improvement in Communication SkillsNil

Computer Usage / Lab ToolThe MATLAB analysis and design software is used throughout the course.

Laboratory Experiences:Nil

Independent Learning Experiences:Online NPTEL Video lectures Prof. T K Basu, IIT Kharagpur Prof. S. C. Dutta Roy, IIT Delhi Prof. V. M. Gadre, IIT Mumbai