Discrete Communication Systems

This is the first textbook which presents the theory of pure discrete communication systems and its relation to the existing theory of digital communication. It is written for undergraduate and graduate students, and for practicing engineers.

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Bibliographic Details
Main Author Berber, Stevan
Format eBook
LanguageEnglish
Published United Kingdom Oxford University Press 2021
Oxford University Press, Incorporated
Edition1
SeriesOxford Graduate Texts
Subjects
Applied physics
Discrete-time systems
Signal processing
Signal processing-Statistical methods
Telecommunication systems
Telecommunication systems-Design and construction
Online AccessGet full text
ISBN0192605194
9780192605191
019886079X
9780198860792
DOI10.1093/oso/9780198860792.001.0001

Cover

Table of Contents:
  • 3.2.4 Types of Discrete-Time Stochastic Processes -- 3.3 The Stationarity of Discrete-Time Stochastic Processes -- 3.3.1 The Stationarity of One Discrete-Time Stochastic Process -- 3.3.2 Properties of the Autocorrelation Function -- 3.3.3 The Stationarity of Two Discrete-Time Stochastic Processes -- 3.4 Ergodic Processes -- 3.4.1 Ensemble Averages and Time Averages -- 3.4.2 Ergodic Processes -- 3.4.3 Estimate of the Mean across the Ensemble of Realizations of X(n) -- 3.4.4 Estimate of the Mean across a realization of X(n) -- 3.4.5 Estimate of the Mean of an Ergodic Process X(n) -- 3.4.6 Summary of Ergodic Stochastic Processes -- 3.5 The Frequency-Domain Representation of Discrete-Time Stochastic Processes -- 3.5.1 Continuous-Time Stochastic Processes in the Frequency Domain -- 3.5.2 Discrete-Time Stochastic Processes in the Frequency Domain -- 3.5.3 Cross-Spectrum Functions -- 3.6 Typical Stochastic Processes -- 3.6.1 Noise Processes -- 3.6.2 General Gaussian Noise Processes -- 3.6.3 Harmonic Processes -- 3.6.4 Stochastic Binary Processes -- 3.7 Linear Systems with Stationary Random Inputs -- 3.7.1 An LTI System with Stationary Random Inputs in the Time Domain -- 3.7.2 Frequency-Domain Analysis of an LTI System -- 3.8 Summary -- Problems -- 4 Noise Processes in Discrete Communication Systems -- 4.1 Gaussian Noise Processes in the Continuous-Time Domain -- 4.1.1 Continuous White Gaussian Noise Processes -- 4.1.2 The Entropy of White Gaussian Noise Processes -- 4.1.3 Truncated Gaussian Noise Processes -- 4.1.4 Concluding Notes on Gaussian Noise Processes -- 4.2 Gaussian Noise Processes in the Discrete-Time Domain -- 4.2.1 White Gaussian Noise Processes with Discrete-Time and Continuous-Valued Samples -- 4.2.2 Discrete-Time White Gaussian Noise Processes with Discrete-Valued Samples
  • 5.8.1 Digital versus Discrete Communication Systems -- 5.8.2 Generic Structure of a Digital Communication System -- Appendix: Operation of a Correlator in the Presence of Discrete White Gaussian Noise -- 6: Digital Bandpass Modulation Methods -- 6.1 Introduction -- 6.2 Coherent Binary Phase-Shift Keying Systems -- 6.2.1 Operation of a Binary Phase-Shift Keying System -- 6.2.2 Transmitter Operation -- 6.2.2.1 Modulating Signal Presentation -- 6.2.2.2 Modulated Signals in Time and Frequency Domains -- 6.2.3 Receiver Operation -- 6.2.3.1 Correlation Demodulator Operation -- 6.2.3.2 Operation of the Optimum Detector, and Structure of the Receiver -- 6.2.3.3 Bit Error Probability Calculation -- 6.3 Quadriphase-Shift Keying -- 6.3.1 Operation of a Quadrature Phase-Shift Keying System -- 6.3.2 Transmitter Operation -- 6.3.2.1 Modulating Signals in Time and Frequency Domains -- 6.3.2.2 Modulated Signals in the Time Domain -- 6.3.2.3 Modulated Signals in the Frequency Domain -- 6.3.2.4 The Power Spectral Density of Signals in a Quadriphase-Shift Keying System -- 6.3.3 Receiver Operation -- 6.3.3.1 Operation of the Correlation Demodulator and the Optimum Detector -- 6.3.3.2 Bit Error Probability Calculation -- 6.3.3.3 Signal Analysis and Transceiver Structure in a Quadrature Phase-Shift Keying System -- 6.4 Coherent Binary Frequency-Shift Keying with a Continuous Phase -- 6.4.1 Operation of a Binary Frequency-Shift Keying System -- 6.4.2 Transmitter Operation -- 6.4.2.1 Modulating Signals in Time and Frequency Domains -- 6.4.2.2 Modulated Signals in the Time Domain and the Signal-Space Diagram -- 6.4.2.3 Modulating and Modulated Signals in Time and Frequency Domains -- 6.4.2.4 Modulated Signals in the Frequency Domain -- 6.4.3 Receiver Operation -- 6.4.3.1 Operation of a Correlation Demodulator -- 6.4.3.2 Operation of an Optimum Detector
  • Cover -- Discrete Communication Systems -- Copyright -- Dedication -- Preface -- Acknowlegements -- Contents -- List of Symbols, Functions, Operators, and Abbreviations -- Symbols -- Greek and Cyrillic Symbols -- Defined Functions -- Operators -- Abbreviations -- 1: Introduction to Communication Systems -- 1.1 Communication Systems and Networks -- 1.2 Classification of Signals and Systems -- 1.2.1 Classification of Signals with Respect to Time and Value -- 1.2.2 Periodic and Symmetric Signals -- 1.2.3 Deterministic and Stochastic Signals -- 1.2.4 Classification of Signals with Respect to Power and Energy -- 1.2.5 Classification of Signals with Respect to Realizability -- 1.2.6 Classification of Systems -- 1.3 Conversions of Analogue and Digital Signals -- 1.3.1 Analogue-to-Digital Conversion -- 1.3.2 Digital-to-Analogue Conversion -- 1.3.3 Application of Signals in Digital and Discrete Communication Systems -- 2: Orthogonal Signals and the Orthogonalization Procedure -- 2.1 Introduction -- 2.2 Geometric Representation of Signals -- 2.2.1 Orthonormal Basis Functions -- 2.2.2 Vector Representation of Signals -- 2.3 The Gram-Schmidt Orthogonalization Procedure -- 2.4 Continuous-Time Orthogonal Signals -- 2.4.1 Continuous-Time Versus Discrete-Time Basis Signals -- 2.4.2 Orthonormal Signals -- 2.4.3 The Gram-Schmidt Orthogonalization Procedure -- 2.5 Orthogonal Signals in Code Division Multiple Access Communication Systems -- Problems -- 3: Discrete-Time Stochastic Processes -- 3.1 Definition and Analysis of Discrete-Time Stochastic Processes -- 3.1.1 Introduction -- 3.1.2 Definition of a Stochastic Process -- 3.1.3 Mathematical Analysis of Stochastic Processes -- 3.2 Statistical Properties of Stochastic Processes -- 3.2.1 First-Order Statistics -- 3.2.2 Second-Order Statistics -- 3.2.3 Higher-Order Statistics
  • 4.2.3 White Gaussian Noise Processes with Quantized Samples in a Strictly Limited Interval -- 4.2.4 Band-Limited Continuous- and Discrete-Time Signals and Noise -- 4.3 Operation of a Baseband Noise Generator -- 4.3.1 Band-Limited Continuous-Time Noise Generators -- 4.3.2 Band-Limited Discrete-Time Noise Generators -- 4.3.3 Spectral Analysis of Continuous-Time Baseband Noise -- 4.3.4 Spectral Analysis of Discrete-Time Baseband Noise -- 4.4 Operation of a Bandpass Noise Generator -- 4.4.1 Ideal Bandpass Continuous-Time Gaussian Noise -- 4.4.2 Ideal Bandpass Discrete Gaussian Noise -- 4.4.3 Modulators and Demodulators of Ideal Bandpass Discrete Gaussian Noise -- 4.5 Practical Design of a Band-Limited Discrete-Time Noise Modulator -- 4.6 Design of an Ordinary Band-Limited Discrete-Time Noise Modulator -- Problems -- 5: Operation of a Discrete Communication System -- 5.1 Structure of a Discrete System -- 5.2 Operation of a Discrete Message Source -- 5.3 Operation of a Discrete Modulator -- 5.4 Additive White Gaussian Noise Channels in a Discrete-Time Domain -- 5.5 Correlation Demodulators -- 5.5.1 Operation of a Correlator -- 5.5.2 Statistical Characterization of Correlator Output -- 5.5.3 Signal Constellation -- 5.6 Optimum Detectors -- 5.6.1 The Maximum Likelihood Estimator of a Transmitted Signal -- 5.6.2 Application of the Maximum Likelihood Rule -- 5.6.3 Design of an Optimum Detector -- 5.6.4 Generic Structure of a Discrete Communication System -- 5.7 Multilevel Systems with a Binary Source -- 5.7.1 Transmitter Operation -- 5.7.2 Radio Frequency Blocks and Additive White Gaussian Noise Waveform Channels -- 5.7.3 Operation of a Bandpass Noise Generator -- 5.7.4 Intermediate-Frequency Optimum Receivers -- 5.7.5 Intermediate-Frequency Optimum Detectors -- 5.8 Operation of a Digital Communication System
  • 6.4.3.3 Calculation of the Bit Error Probability -- 6.4.3.4 Design of a Transceiver for a Binary Frequency-Shift Keying Signal -- 6.5 M-ary Quadrature Amplitude Modulation -- 6.5.1 System Operation -- 6.5.2 Transmitter Operation -- 6.5.3 Receiver Operation -- Appendix A: Densities of the Correlation Variables X1 and X2 in a Quadrature Phase-Shift Keying System -- Appendix B: Derivatives of Density Functions for a Binary Frequency-Shift Keying System -- Appendix C: Precise Derivation of the Bit Error Probability for a Binary Frequency-Shift Keying System -- Appendix D: Power Spectral Density of a Quadrature Component in a Frequency-Shift Keying Signal -- Problems -- 7: Discrete Bandpass Modulation Methods -- 7.1 Introduction -- 7.2 Coherent Binary Phase-Shift Keying Systems -- 7.2.1 Operation of a Binary Phase-Shift Keying System -- 7.2.2 Transmitter Operation -- 7.2.2.1 Presentation of a Modulating Signal -- 7.2.2.2 Modulated Signals in Time and Frequency Domains -- 7.2.2.3 The Power Spectral Density of Binary Phase-Shift Keying Modulated Signals -- 7.2.3 Receiver Operation -- 7.2.3.1 Operation of a Correlation Demodulator -- 7.2.3.2 Operation of an Optimum Detector, and Structure of a Receiver -- 7.2.3.3 Calculation of the Bit Error Probability -- 7.3 Quadriphase-Shift Keying -- 7.3.1 System Operation -- 7.3.2 Transmitter Operation -- 7.3.2.1 Modulating Signals in Time and Frequency Domains -- 7.3.2.2 Modulated Signals in the Time Domain -- 7.3.2.3 Modulated Signals in the Frequency Domain -- 7.3.3 Receiver Operation -- 7.3.3.1 Operation of the Correlation Demodulator and the Optimum Detector -- 7.3.3.2 Calculation of the Bit Error Probability -- 7.3.3.3 Signal Analysis and Structure of the Transceiver in a Quadriphase-Shift Keying System -- 7.4 Coherent Binary Frequency-Shift Keying with Continuous Phase
  • 7.4.1 Operation of a Binary Frequency-Shift Keying System