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Book Cover
Book
Author Shmaliy, Yuriy.

Title Continuous-time signals / by Yuriy Shmaliy
Published Dordrecht : Springer, 2006

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Location Call no. Vol. Availability
 W'PONDS  621.38223 Shm/Cts  AVAILABLE
Description xiii, 355 pages : illustrations ; 25 cm
Series Signals and communication technology
Signals and communication technology.
Contents 1 Introduction -- 1.1 Signals Application in Systems -- 1.1.1 Radars -- 1.1.2 Sonar -- 1.1.3 Remote Sensing -- 1.1.4 Communications -- 1.1.5 Global Positioning System -- 1.2 Signals Classification -- 1.2.1 Regularity -- 1.2.2 Causality -- 1.2.3 Periodicity -- 1.2.4 Dimensionality -- 1.2.5 Presentation Form -- 1.2.6 Characteristics -- 1.2.7 Spectral Width -- 1.2.8 Power and Energy -- 1.2.9 Orthogonality -- 1.3 Basic Signals -- 1.3.1 Unit Step -- 1.3.2 Dirac Delta Function -- 1.3.3 Exponential Signal -- 1.3.4 Harmonic Signal -- 1.4 Methods of Signals Presentation and Description -- 1.4.1 Generalized Function as a Signal Model -- 1.4.2 Linear Space of Signals -- 1.4.3 Coordinate Basis -- 1.4.4 Normed Linear Space -- 1.4.5 Metric Spaces of Signals -- 1.5 Signals Transformation in Orthogonal Bases -- 1.5.1 Inner Product -- 1.5.2 Orthogonal Signals -- 1.5.3 Generalized Fourier Series -- 1.5.4 Fourier Analysis -- 1.5.5 Short-time Fourier Transform -- 1.5.6 Wavelets -- 1.6 Summary -- 1.7 Problems -- 2 Spectral Presentation of Signals -- 2.1 Introduction -- 2.2 Presentation of Periodic Signals by Fourier Series -- 2.2.1 Fourier Series of a Periodic Signal -- 2.2.2 Exponential Form of Fourier Series -- 2.2.3 Gibbs Phenomenon -- 2.2.4 Properties of Fourier Series -- 2.2.5 Parseval's Relation for Periodic Signals -- 2.3 Presentation of Single Pulses by Fourier Transform -- 2.3.1 Spectral Presentation of Nonperiodic Signals -- 2.3.2 Direct and Inverse Fourier Transforms -- 2.3.3 Properties of the Fourier Transform -- 2.3.4 Rayleigh's Theorem -- 2.4 Spectral Densities of Simple Single Pulses -- 2.4.1 Truncated Exponential Pulse -- 2.4.2 Rectangular Pulse -- 2.4.3 Triangular Pulse -- 2.4.4 Sinc-shaped Pulse -- 2.4.5 Gaussian Pulse -- 2.5 Spectral Densities of Complex Single Pulses -- 2.5.1 Complex Rectangular Pulse -- 2.5.2 Trapezoidal Pulse -- 2.5.3 Asymmetric Triangular Pulse -- 2.6 Spectrums of Periodic Pulses -- 2.6.1 Periodic Rectangular Pulse -- 2.6.2 Triangular Pulse-train -- 2.6.3 Periodic Gaussian Pulse -- 2.6.4 Periodic Sinc-shaped Pulse -- 2.7 Spectral Densities of Pulse-Bursts -- 2.7.1 General Relations -- 2.7.2 Rectangular Pulse-burst -- 2.7.3 Triangular Pulse-burst -- 2.7.4 Sinc Pulse-burst -- 2.7.5 Pulse-to-burst-to-train Spectral Transition -- 2.8 Spectrums of Periodic Pulse-bursts -- 2.8.1 Rectangular Pulse-burst-train -- 2.8.2 Triangular Pulse-burst-train -- 2.8.3 Periodic Sinc Pulse-burst -- 2.9 Signal Widths -- 2.9
Summary "Continuous-Time Signals is an extended description of continuous-time signals related to the course of Signals and Systems. As a varying process of any physical state of any object, which serves for representation, detection, and transmission of messages, a modern electrical signal possesses, in applications, many specific properties. To make possible for readers to deal with signals free, the book systematically covers major principle foundations of the signals theory. The representation of signals in the frequency domain (by Fourier transform) is considered with strong emphasis on how the spectral density of a single waveform becomes that of its burst and then the spectrum of it train. different kinds of amplitude and angular modulations are analyzed noticing a consistency between the spectra of modulating and modulated signals. The energy and power presentation of signals is given along with their correlation properties. Finally, presenting the bandlimited and analytic signals, the book elucidates the methods of their description, transformation (by Hilbert transform), and sampling."--Jacket
Bibliography Includes bibliographical references and index
Subject Signal theory (Telecommunication)
Signals and signaling.
LC no. 2007468230
ISBN 1402048173 (hd. bd.)
9781402048173 (hd. bd.)
1402048181 (e-book)
9781402048180 (e-book)