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[email protected] fet # GATE - SYLLABUS Signals and Systems: Definitions and properties of Laplace transform, continuous-time and discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, DFT and FFT, z-transform, Sampling theorem. Linear Time-Invariant (LT!) Systems: definitions and properties; causality, stability, impulse response, convolution, poles and zeros, parailel and cascade structure, frequency response, group delay, phase delay. Signal transmission through LT! systems. Plan.ofthe book: The book begins with chapter 1 by introducing the basic concepts of signal & system models and system classification. This material, which is basic to the remainder of the book, considers the mathematical representation of signals. Chapter 2 is devoted to the time — domain characterization of C.T. L.T.I. system & the convolution.To this point the focus is on the time -domain description of signals & systems, Starting with chapter 3, we consider frequency — domain descriptions. We begin the chapter with a consideration of the orthogonal representations of arbitrary signals. The FS & its properties are presented Chapter.4 begins with the development of the F.T. conditions under which the F.T. ‘exists are presented and its properties. discussed. Applications of F.T, such as sampling theorem, Distortioniess transmission are considered. Chapter 5 deals with-both unilateral & bilaterai L.T. The concept of transfer function is introduced and other applications of the L.T. such as for the solution of differential equations are discussed, Chapter 6 considers thé Fourier analysis of discrete — time signals. The relation between the continuous — time & discrete — time Fourier transforms of sampled analog signals is derived. Chapter 7 discusses the Z.T. of D.T. signals. The development follows closely that of chapter 5 for the L.T, Properties of the Z.T. are derived & their application in the analysis of discrete time systems developed. Finally mapping of the .s- plane into the z — plane & realization structures is discussed. Chapter 8 introduces the DFT for analyzing finite length sequences. The properties of the DFT are derived. Two popular fast Fourier transform (FFT) algorithms for the efficient computation of the DFT are presented.Chapter 9 introduces additional questions of all the above topics discussed, We wish to thank ail the peopie who have contributed to the development of this book. lam pleased to acknowledge my indebtedness to Mr. Brahmaiah, Mr.Senthil, Mr venu, Mr.Kamalakar who prepared diagrams and alignment of the data Readers comments & criticisms are gratefully appreciated. For any queries (or) suggestions for further improvement of the. book, the readers can write to me at
[email protected] M.L.NARASIMHAM
