LEADER 04751nam 2200553 450 001 9910814874103321 005 20230912160600.0 010 $a1-00-333886-0 010 $a1-003-33886-0 010 $a1-000-79453-9 010 $a87-93609-35-3 010 $a87-7022-078-6 035 $a(CKB)4100000007756020 035 $a(Au-PeEL)EBL30251885 035 $a(NjHacI)994100000007756020 035 $a(Au-PeEL)EBL5704150 035 $a(OCoLC)1056910651 035 $a(MiAaPQ)EBC5704150 035 $a(EXLCZ)994100000007756020 100 $a20190307d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModulation theory /$fMarcelo Sampaio de Alencar 205 $a1st ed. 210 1$aDenmark :$cRiver Publishers,$d[2018] 210 4$d2018 215 $a1 online resource (268 pages) 225 1 $aRiver Publishers Series in Communications 311 $a87-7022-026-3 311 $a87-93609-36-1 327 $aFront Cover; Half Title Page; RIVER PUBLISHERS SERIES IN COMMUNICATIONS; Title PageModulation Theory; Copyright Page; Contents; Preface; List of Figures; Chapter 1Theory of Signals and Linear Systems; 1.1 Introduction; 1.2 Signal Analysis; 1.2.1 Linearity; 1.2.2 The Convolution Theorem; 1.3 Some Important Functions; 1.3.1 The Constant Function; 1.3.2 The Sine and the Cosine Functions; 1.3.3 The Heaviside Step Function; 1.3.4 The Ramp Function; 1.3.5 The Gate Function; 1.3.6 Impulse Function or Dirac's Delta Function; 1.3.7 The Sampling Function; 1.3.8 Even and Odd Functions 1.3.9 Some Elementary Properties of Functions1.4 Basic Fourier Analysis; 1.4.1 The Trigonometric Fourier Series; 1.4.2 The Compact Fourier Series; 1.4.3 The Exponential Fourier Series; 1.5 Fourier Transform; 1.5.1 Bilateral Exponential Signal; 1.5.2 Transform of the Gate Function; 1.5.3 Fourier Transform of the Impulse Function; 1.5.4 Transform of the Constant Function; 1.5.5 Fourier Transform of the Sine and Cosine Functions; 1.5.6 Fourier Transform of the Complex Exponential; 1.5.7 Fourier Transform of a Periodic Function; 1.6 Some Properties of the Fourier Transform 1.6.1 Linearity of the Fourier Transform1.6.2 Scaling Property; 1.6.3 Symmetry of the Fourier Transform; 1.6.4 Time Domain Shift; 1.6.5 Frequency Domain Shift; 1.6.6 Differentiation in the Time Domain; 1.6.7 Integration in the Time Domain; 1.6.8 The Convolution Theorem in the Time Domain; 1.6.9 The Convolution Theorem in the Frequency Domain; 1.7 The Sampling Theorem; 1.8 Parseval's Theorem; 1.9 Average, Power, and Autocorrelation; 1.9.1 Time Autocorrelation of Signals; Chapter 2Random Signals and Noise; 2.1 The Theory of Sets, Functions, and Measure; 2.1.1 Set Theory 2.1.2 Operations on Sets2.1.3 Families of Sets; 2.1.4 Indexing Sets; 2.1.5 Algebra of Sets; 2.1.6 Borel Algebra; 2.2 Probability Theory; 2.2.1 Axiomatic Approach to Probability; 2.2.2 Bayes' Rule; 2.3 Random Variables; 2.3.1 Mean Value of a Random Variable; 2.3.2 Moments of a Random Variable; 2.3.3 The Variance of a Random Variable; 2.3.4 The Characteristic Function of a Random Variable; 2.3.5 Some Important Random Variables; 2.3.6 Joint Random Variables; 2.4 Stochastic Processes; 2.4.1 The Autocorrelation Function; 2.4.2 Stationarity; 2.4.3 Wide Sense Stationarity; 2.4.4 Ergodic Signals 2.4.5 Properties of the Autocorrelation2.4.6 The Power Spectral Density; 2.4.7 Properties of the Power Spectral Density; 2.5 Linear Systems; 2.5.1 Expected Value of the Output Signal; 2.5.2 The Response of Linear Systems to Random Signals; 2.5.3 Phase Information; 2.6 Analysis of a Digital Signal; 2.6.1 Autocorrelation of a Digital Signal; 2.6.2 Power Spectral Density for the Digital Signal; 2.6.3 The Digital Signal Bandwidth; 2.7 Non-Linear Systems; 2.7.1 The Two-Level Quantizer; 2.7.2 Quantization Noise Spectrum for a Two-level Quantizer; 2.7.3 Response of a Squarer Circuit. 330 $aGreen Engineering publishes original, high quality, peer-reviewed research papers and review articles dealing with environmentally safe engineering including their systems. The goal is to promote environmentally safe engineering by utilizing various modeling approaches, but especially transdisciplinary approach. 410 0$aRiver Publishers series in communications. 606 $aModulators (Electronics) 606 $aModulation theory 615 0$aModulators (Electronics) 615 0$aModulation theory. 676 $a621.381 700 $aAlencar$b Marcelo S.$f1957-$0950896 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910814874103321 996 $aModulation theory$93980764 997 $aUNINA