
Signal Theory
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- Preface vii
- Acronyms ix
- 11Introduction
- 1.11Signal Theory
- 1.22Outline
- 1.33Problems
- 25Deterministic Signals and Systems
- 2.15Signals
- 2.1.15Time-Continuous Signals
- 2.1.27Time-Discrete Signals
- 2.28Systems
- 2.312The Time Domain
- 2.3.112Time-Continuous Signals and Systems
- 2.3.217Time-Discrete Signals and Systems
- 2.419The Frequency Domain
- 2.4.119The Time-Continuous Fourier Transform
- 2.4.223The Time-Discrete Fourier Transform
- 2.527Representations of Some LTI Systems
- 2.5.127Linear Differential Equations
- 2.5.229Linear Difference Equations
- 2.632Filters and Filter Types
- 2.738Amplitude Modulation
- 2.839Principal Values
- 2.941Problems
- 347Stochastic Variables
- 3.147Events and Probability
- 3.250Stochastic Variables
- 3.351Probability Distributions and Densities
- 3.454Expectations
- 3.556Multi-Dimensional Stochastic Variables
- 3.660Conditional Distributions
- 3.763Gaussian variables
- 3.867Other Common Distributions
- 3.968Problems
- 473Stochastic Processes
- 4.173Basic Definitions
- 4.274Notation
- 4.376Predictability
- 4.478Ensembles and Averages
- 4.579Auto-Correlation
- 4.681Stationarity
- 4.785Signal Power
- 4.886Gaussian Processes
- 4.987Cross-Correlation and Cross-Spectrum
- 4.1089Ergodicity
- 4.1191White Noise
- 4.1292Colored Noise
- 4.1394Poisson Processes
- 4.1496Problems
- 599Filtering Stochastic Processes
- 5.199Time-Continuous Filtering
- 5.1.1100Ensemble averages
- 5.1.2101Power Spectral Densities
- 5.1.3103Gaussian Processes
- 5.1.4104White Processes
- 5.2105Time-Discrete Filtering
- 5.3106The Non-Negativity of the PSD
- 5.4108Prediction
- 5.5110Cross-Correlation Revisited
- 5.6112Problems
- 6119Sampling and Reconstruction
- 6.1120Sampling
- 6.1.1121Deterministic input
- 6.1.2124Stochastic input
- 6.2125Pulse-Amplitude Modulation
- 6.2.1125Deterministic input
- 6.2.2125Stochastic input
- 6.3127Reconstruction of Time-Continuous Signals
- 6.3.1128Deterministic input
- 6.3.2131Stochastic input
- 6.4135Reconstruction of Time-Discrete Signals
- 6.4.1136Deterministic input
- 6.4.2137Stochastic input
- 6.5138Problems
- 7143Momentary Non-Linear Systems
- 7.1143Examples of Non-Linear Systems
- 7.2144Characterization of the System
- 7.3146Characterization of the Input
- 7.4146Gaussian Input
- 7.4.1147Characteristic Functions
- 7.4.2149Price’s Theorem
- 7.5151Saturation
- 7.6153Quantization
- 7.6.1154Uniform Quantization of a Stochastic Variable
- 7.6.2156The Quantization Error is Almost White
- 7.6.3The Input and the Quantization Error are Almost Un-
- 158correlated
- 7.6.4159Distortion
- 7.6.5160Impact of Saturation on the Quantization Distortion
- 7.6.6162Non-Uniform Quantization
- 7.6.7166A Note About Power Spectral Densities
- 7.7166Problems
- 8173Analog Modulation
- 8.1174Amplitude Modulation
- 8.1.1174Standard AM
- 8.1.2176Suppressed Carrier Modulation
- 8.1.3178Single Sideband Modulation
- 8.1.4178Amplitude Modulation of Stochastic Processes
- 8.1.5182Impact of Noise in AM Demodulation
- 8.2185Angle Modulation
- 8.2.1187Spectrum of Angle Modulation
- 8.2.2188Phase Modulation
- 8.2.3188Frequency Modulation
- 8.2.4190Demodulation of PM and FM
- 8.2.5192Broadband Angle Modulation of a Gaussian Process
- 8.2.6196Narrowband Angle Modulation
- 8.2.7197Impact of Noise in PM and FM Demodulation
- 8.2.8199Pre-emphasized FM
- 8.3202Problems
- 9205Multi-Dimensional Processes
- 9.1206Two-Dimensional Signals
- 9.1.1206Deterministic Signals
- 9.1.2207Stochastic Processes
- 9.2208Two-Dimensional Systems
- 9.2.1208Deterministic Input
- 9.2.2210Probabilistic Input
- 9.3211Spectral Description
- 9.3.1211Two-Dimensional Fourier Transform
- 9.3.2212Two-Dimensional Power Spectral Density
- 9.4214Sampling and Reconstruction in Two Dimensions
- 9.4.1214Deterministic Input
- 9.4.2215Probabilistic Input
- 9.5216Problems
- 10219Spectral Estimation
- 10.1219Estimation
- 10.2221Estimating Auto-Correlation Functions
- 10.2.1221Blackman-Tukey’s Estimate
- 10.2.2222Bartlett’s Estimate
- 10.3223Estimating Power Spectral Densities
- 10.3.1223Periodograms
- 10.3.2226Averaged Periodograms
- 10.3.3226Smoothing
- 10.3.4227Final Words on Estimation
- 11229Extended Example: Reconstruction in CD Players
- 11.1229Introduction
- 11.2230Quantization at the Recording of the CD
- 11.3232Reconstruction
- 11.3.1233The First Generation: PAM
- 11.3.2235The Second Generation: Oversampling
- 11.3.3238The Third Generation: Noise Shaping
- 11.4244Comments
- 245A Hints to Problems
- 245A2 Deterministic Signals and Systems
- 247A3 Stochastic Variables
- 248A4 Stochastic Processes
- 249A5 Filtering Stochastic Processes
- 251A6 Sampling and Reconstruction
- 252A7 Momentary Non-Linear Systems
- 253A8 Analog Modulation
- 253A9 Multi-Dimensional Processes
- 255B Answers to Problems
- 255B2 Deterministic Signals and Systems
- 259B3 Stochastic Variables
- 261B4 Stochastic Processes
- 262B5 Filtering Stochastic Processes
- 264B6 Sampling and Reconstruction
- 265B7 Momentary Non-Linear Systems
- 267B8 Analog Modulation
- 267B9 Multi-Dimensional Processes
Information
Språk:
EngelskaISBN:
9789144073538Utgivningsår:
2011Artikelnummer:
35676-01Upplaga:
FörstaSidantal:
281