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Ec 2204-Signals and Systems

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SARDAR RAJA COLLEGE OF ENGINEERING, ALANGULAM

DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING MICRO LESSON PLAN

SUBJECT : CODE CLASS : :

SIGNALS AND SYSTEMS

EC 2204 II Year / III SEM

STAFF: Mrs.S.MUPPUDATHI SUTHA, Asst.Prof, DEPT. OF ECE.

EC 2204

SIGNALS AND SYSTEMS

LTPC

3104

UNIT I CLASSIFICATION OF SIGNALS AND SYSTEMS 9 Continuous time signals (CT signals), discrete time signals (DT signals) - Step, Ramp,Pulse, Impulse, Exponential, Classification of CT and DT signals - periodic and periodic,random singals, CT systems and DT systems, Basic properties of systems - Linear Time invariant Systems and properties. UNIT II ANALYSIS OF CONTINUOUS TIME SIGNALS 9 Fourier series analysis, Spectrum of C.T. singals, Fourier Transform and Laplace Transform in Signal Analysis. UNIT III LINEAR TIME INVARIANT CONTINUOUS TIME SYSTEMS 9 Differential equation, Block diagram representation, Impulse response, Convolution integral, frequency response , Fourier and Laplace transforms in analysis, State variable equations and matrix representation of systems. UNIT IV ANALYSIS OF DISCRETE TIME SIGNALS Sampling of CT signals and aliasing, DTFT and properties, Z-transform and properties of Z-transform. 9

UNIT V LINEAR TIME INVARIANT - DISCRETE TIME SYSTEMS 9 Difference equations, Block diagram representation, Impulse response, Convolution sum,LTI systems analysis using DTFT and Z-transforms , State variable equations and matrix representation of systems. TOTAL : 45 + 15 = 60 PERIODS TEXT BOOKS: 1. Allan V.Oppenheim, S.Wilsky and S.H.Nawab, Signals and Systems, Pearson Education, 2007. 2. Edward W Kamen & Bonnies Heck, Fundamentals of Signals and Systems, Pearson Education, 2007. REFERENCES: 1. H P Hsu, Rakesh Ranjan Signals and Systems, Schaums Outlines, Tata McGraw Hill, Indian Reprint, 2007 2. S.Salivahanan, A. Vallavaraj, C. Gnanapriya, Digital Signal Processing, McGraw Hill International/TMH, 2007. 3. Simon Haykins and Barry Van Veen, Signals and Systems John Wiley & sons , Inc, 2004. 4. Robert A. Gabel and Richard A.Roberts, Signals & Linear Systems, John Wiley, III edition, 1987. 5. Rodger E. Ziemer, William H. Tranter, D. Ronald Fannin. Signals & systems, Fourth Edition, Pearson Education, 2002.

SUBJECT DESCRIPTION AND OBJECTIVES

DESCRIPTION This subject introduces analyse characteristics of continuous, discrete signals and systems. Topics include signals and systems,signal: "A detectable physical quantity or impulse (as a voltage, current, or magnetic field strength) by which messages or information can be transmitted." or"A signal is a function of independent variables that carry some information.""A signal is a physical quantity that varies with time,space or any other independent variable.by which information can be conveyed" Signal: a function representing some variable that contains some information about the behavior of a natural or artificial system. Signals are one part of the whole. Signals are meaningless without systems to interpret them, and systems are useless without signals to process.eg. the energy (a traveling wave) that carries some information, an electrical circuit signal may represent a time-varying voltage measured across a resistor. A signal can be represented as a function x(t) of an independent variable t which usually represents time. If t is a continuous variable, x(t) is a continuous-time signal, and if t is a discrete variable, defined only at discrete values of t, then x(t) is a discrete-time signal. A discrete-time signal is often identified as a sequence of numbers, denoted by x[n], where n is an integer. A system takes some input and produces some outrput .It performs some operations on the signals.

OBJECTIVES To study the properties and representation of discrete and continuous signals. To study the sampling process and analysis of discrete systems using ztransforms. To study the analysis and synthesis of discrete time systems.

Hours

MICRO LESSON PLAN LECTURE TOPICS

READING

UNIT I CLASSIFICATION OF SIGNALS AND SYSTEMS 1 2 3 4 5 6 7 8 9 10 11 12 Continuous time signals (CT signals), Discrete Time Signals (DT Signals) - Step, Ramp,Pulse Impulse, Exponential Classification of CT and DT signals Periodic And Periodic Random Signals CT systems and DT systems Basic properties of systems Linear Time invariant Systems and properties Problems based on LTI systems UNIT II - ANALYSIS OF CONTINUOUS TIME SIGNALS 13 14 15 16 17 18 19 20 21 22 23 24 Fourier series analysis Spectrum of C.T. signals Problems based on Fourier series analysis Spectrum of C.T. signals Fourier Transform, Laplace Transform in Signal Analysis. T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1

Problems based on Laplace Transform in Signal Analysis

UNIT III - LINEAR TIME INVARIANT CONTINUOUS TIME SYSTEMS 25 26 27 28 29 30 Differential equation Block diagram representation Impulse response Convolutionintegral Frequency Response Fourier and Laplace transforms in analysis T1 T1 T1 T1 T1 T1

31 32 33 34 35 36

State variable equations

matrix representation of systems UNIT IV - ANALYSIS OF DISCRETE TIME SIGNALS

T1 T1 T1 T1 T1 T1

37 38 39 40 41 42 43 44 45 46 47 48

Sampling of CT signals,Aliasing DTFT Properties of DTFT

T2 T2 T2 T2 T2 T2 T2 T2 T2 T2 T2 T2

Z-transform properties of Z-transform

UNIT V -LINEAR TIME INVARIANT - DISCRETE TIME SYSTEMS 49 50 51 52 53 54 55 56 57 58 59 60 Difference equations Block diagram representation Impulse response Convolution sum LTI systems analysis using DTFT and Z-transforms State variable equations Matrix representation of systems T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1 T1

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