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# Note for Signals And Systems - SS By Amity Kumar

• Signals And Systems - SS
• Note
• Amity University - AMITY
• Electronics and Communication Engineering
• 9 Topics
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Signals & Systems 10EC44 SUBJECT: SIGNALS & SYSTEMS IA MARKS: 25 EXAM HOURS: 3 HOURS / WEEK: 4 SUBJECT CODE: 10EC44 EXAM MARKS: 100 TOTAL HOURS: 52 PART – A UNIT 1: Introduction: Definitions of a signal and a system, classification of signals, basic Operations on signals, elementary signals, Systems viewed as Interconnections of operations, properties of systems. 07 Hours UNIT 2: Time-domain representations for LTI systems – 1: Convolution, impulse response representation, Convolution Sum and Convolution Integral. 06 Hours UNIT 3: Time-domain representations for LTI systems – 2: properties of impulse response representation, Differential and difference equation Representations, Block diagram representations. 07 Hours UNIT 4: Fourier representation for signals – 1: Introduction, Discrete time and continuous time Fourier series (derivation of series excluded) and their properties . 06 Hours PART – B UNIT 5: Fourier representation for signals – 2: Discrete and continuous Fourier transforms(derivations of transforms are excluded) and their properties. 06 Hours UNIT 6: Applications of Fourier representations: Introduction, Frequency response of LTI systems, Fourier transform representation of periodic signals, Fourier transform representation of discrete time signals. 07 Hours Dept of ECE, SJBIT Page 1

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Signals & Systems 10EC44 UNIT 7: Z-Transforms – 1: Introduction, Z – transform, properties of ROC, properties of Z – transforms, inversion of Z – transforms. 07 Hours UNIT 8: Z-transforms – 2: Transform analysis of LTI Systems, unilateral Z Transform and its application to solve difference equations. 06 Hours TEXT BOOK Simon Haykin and Barry Van Veen “Signals and Systems”, John Wiley & Sons, 2001.Reprint 2002 REFERENCE BOOKS : 1. Alan V Oppenheim, Alan S, Willsky and A Hamid Nawab, “Signals and Systems” Pearson Education Asia / PHI, 2nd edition, 1997. Indian Reprint 2002 2. H. P Hsu, R. Ranjan, “Signals and Systems”, Scham‟s outlines, TMH, 2006 3. B. P. Lathi, “Linear Systems and Signals”, Oxford University Press, 2005 4. Ganesh Rao and Satish Tunga, “Signals and Systems”, Sanguine Technical Publishers, 2004 Question Paper Pattern: Student should answer FIVE full questions out of 8 questions to be set each carrying 20 marks, selecting at least TWO questions from each part Coverage in the Text: UNIT 1: 1.1, 1.2, 1.4 to 1.8 UNIT 2: 2.1, 2.2 UNIT 3: 2.3, 2.4, 2.5 UNIT 4: 3.1, 3.2, 3.3, 3.6 UNIT 5: 3.4, 3.5, 3.6 UNIT 6: 4.1, 4.2, 4.3, 4.5, 4.6. UNIT 7: 7.1, 7.2, 7.3, 7.4, 7.5 UNIT 8: 7.6 (Excluding „relating the transfer function and the State-Variable description, determining the frequency response from poles and zeros) and 7.8 Dept of ECE, SJBIT Page 2

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Signals & Systems 10EC44 INDEX SL.NO UNIT – 1 1.1 1.4 1.5 1.6 UNIT – 2 2.1 2.2 2.3 2.5 UNIT – 3 3.1 3.3 3.5 UNIT –4 4.1 4.2 4.4 4.5 TOPIC PART A INTRODUCTION PAGE NO. Definitions of Signal and system, classification of signals Operation on signals: Systems viewed as interconnections of operations Properties of systems 4-25 TIME-DOMAIN REPRESENTATIONS FOR LTI SYSTEMS – 1 Convolution: concept and derivation Impulse response representation Convolution sum Convolution Integral 26-40 TIME-DOMAIN REPRESENTATIONS FOR LTI SYSTEMS – 2 Properties of impulse response representation Differential equation representation Difference Equation representation 41-59 FOURIER REPRESENTATION FOR SIGNALS – 1 Introduction Discrete time fourier series Properties of Fourier series Properties of Fourier series PART B UNIT –5 FOURIER REPRESENTATION FOR SIGNALS – 2: Introduction 5.1 Discrete and continuous fourier transforms 5.1 Properties of FT 5.4 Properties of FT 5.5 UNIT – 6 APPLICATIONS OF FOURIER REPRESENTATIONS Introduction 6.1 Frequency response of LTI systems 6.2 FT representation of periodic signals 6.4 FT representation of DT signals 6.6 UNIT – 7 Z-TRANSFORMS – 1 Introduction 7.1 Z-Transform, Problems 7.2 Properties of ROC 7.3 Properties of Z-Transform 7.5 Inversion of Z-Transforms,Problems 7.7 UNIT – 8 Z-TRANSFORMS – 2 Transform analysis of LTI Systems 8.1 Unilateral Z- transforms 8.3 Application to solve Difference equations 8.5 Dept of ECE, SJBIT 60-66 67-72 73-88 89-110 111-122 Page 3

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Signals & Systems UNIT 1: Introduction 10EC44 Teaching hours: 7 Introduction: Definitions of a signal and a system, classification of signals, basic Operations on signals, elementary signals, Systems viewed as Interconnections of operations, properties of systems. TEXT BOOK Simon Haykin and Barry Van Veen “Signals and Systems”, John Wiley & Sons, 2001.Reprint 2002 REFERENCE BOOKS : 1. Alan V Oppenheim, Alan S, Willsky and A Hamid Nawab, “Signals and Systems” Pearson Education Asia / PHI, 2nd edition, 1997. Indian Reprint 2002 2. H. P Hsu, R. Ranjan, “Signals and Systems”, Scham‟s outlines, TMH, 2006 3. B. P. Lathi, “Linear Systems and Signals”, Oxford University Press, 2005 4. Ganesh Rao and Satish Tunga, “Signals and Systems”, Sanguine Technical Publishers, 2004 Dept of ECE, SJBIT Page 4