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Full Description
This text uses the principles of discrete-time signal processing to introduce and analyze digital communications - connecting continuous-time and discrete-time ideas. KEY TOPICS: The text brings under one cover the theoretical and practical issues from discrete-time signal processing, discrete-time filter design, multi-rate discrete-time processing, estimation theory, signal space analysis, numerical algorithms - all focused on digital communications. MARKET: A useful reference for programmers.
Contents
Contents1 Introduction1.1 A brief History of Communications1.2 Basics of Wireless Communications1.3 Digital Communications1.4 Why Discrete-Time Processing is so Popular1.5 Organization of the Text1.6 Notes and References2 Signals and Systems 1: A Review of the Basics2.1 Introduction 2.2 Signals2.2.1 Continuous-Time Signals2.2.2 Discrete-Time Signals2.3 Systems2.3.1 Continuous-Time Systems2.3.2 Discrete- Time Systems2.4 Frequency Domain Characterization 2.4.1 Laplace Transform2.4.2 Continuous-Time Fourier Transform 2.4.3 Z Transform2.4.4 Discrete-Time Fourier Transform2.5 The Discrete Fourier Transform2.6 The Relationship Between Discrete-Time and Continuous-Time Systems2.6.1 The Sampling Theorem2.6.2 Discrete-Time Processing of Continuous-Time Signals2.7 Discrete-Time Processing of Bandpass Signals2.8 Notes and References2.9 Exercises 3 Signals and Systems 2: Some Useful Discrete-Time Techniques for Digital Communications3.1 Introduction 3.2 Multirate 3.2.1 Impulse Train Sampling3.2.2 Downsampling3.2.3 Upsampling3.2.4 The Noble Identities3.2.5 Polyphase Filterbanks3.3 Discrete-Time Filters Design Methods 3.3.1 IIR Filter Design3.3.2 FIR Filter Design3.3.3 Two Important Filters: The Differentiator and the Intergrator 3.4 Notes and References3.5 Exercises4 A Review of Probability Theory4.1 Basic Definitions 4.2 Gaussian Random Variables4.2.1 Density and Distribution Functions4.2.2 Product Moments4.2.3 BivariateGaussian Distribution 4.2.4 Functions of Random Variables4.3 Multivariate Gaussian Random Variables4.4 Random Sequences 4.4.1 Power Spectral Density4.4.2 Random Sequences and Discrete-Time LTI Systems4.5 Additive White Gaussian Noise4.5.1 Continuous Time Random Processes 4.5.2 The White Gaussian Random Process: A Good Model For Noise4.5.3 White Gaussian Noise in a sampled data System4.6 Notes and References4.7 Exercises5 Linear Modulation 1: Demodulation, and Detection5.1 Signal Spaces5.1.1 Definitions5.1.2 The Synthesis Equation and Linear Modulation 5.1.3 The Analysis Equation and Detection 5.1.4 The matched Filter 5.2 M-ary Baseband Pulse Amplitude Modulation (PAM)5.2.1 Continuous-Time Realization 5.2.2 Discrete-Time Realization 5.3 M-ary Quadrature Amplitude Modulation (MQAM)5.3.1 Continuous-Time Realization 5.3.2 Discrete-Time Realization5.4 Offset QPSK5.5 Multicarrier5.6 Maximum Likelihood detection5.6.1 Introduction 5.6.2 Preliminaries 5.6.3 Maximum Likelihood Decision Rule5.7 Notes and References5.8 Exercises6 Linear Modulation 2: Performance6.1 Performance of PAM6.1.1 Bandwidth 6.1.2 Probability of Error6.2 Performance of QAM6.2.1 Bandwidth6.2.2 Probability of Error6.3 Comparisons6.4 Link Budgets 6.4.1 Received Power and The Friis equation6.4.2 Equivalent Noise Temperature and Noise Figure6.4.3 The Link Budget Equation6.5 Projection White Noise Onto An Orthonormal Basis Set6.6 Notes and References 6.7 Exercises7 Carrier Phase Synchronization7.1 Basics Problem Formulation7.2 Carrier Phase Synchronization for QPSK7.2.1 A Heuristic Phase Error Detector7.2.2 The Maximum Likelihood Phase Error Detector7.2.3 Examples7.3 Carrier Phase Synchronization for BPSK7.4 Carrier Phase Synchronization for MQAM7.5 Carrier Phase Synchronization for Offset QPSK7.6 Carrier Phase Synchronization for BPSK and QPSK UsingContinuous-Time-Techniques 7.7 Phase Ambiguity Resolution 7.7.1 Unique Word7.7.2 Differential Encoding7.8 Maximum Likelihood Phase Estimation7.8.1 Preliminaries 7.8.2 Carrier Phase Estimation7.9 Notes and References7.10 Exercises8 Symbol Timing Synchronization8.1 Basic Problem Formulation8.2 Continuous-Time Techniques for M-ary PAM 8.3 Continuous-Time Techniques for MQAM8.4 Discrete-Time Techniques for M-ary PAM8.4.1 Timing Error Detectors8.4.2 Interpolation 8.4.3 Interpolation Control 8.4.4 Examples8.5 Discrete-Time Techniques for MQAM8.6 Discrete-Time Techniques for Offset QPSK8.7 Dealing with Transition Density: A Parctical Consideration8.8 Maximum Likelihood Estimation 8.8.1 Preliminaries8.2.2 Symbol Timing Estimation8.9 Notes and References8.10 Exercises 9 System Components 9.1 The Continuous-Time Discrete-Time Interface 9.1.1 Analog-to-Digital Converter 9.2.2 Digital-to-Analog Converter9.2 Discrete-Time Oscillators 9.2.1 Discrete Oscillators Based on LTI Systems9.2.2 Direct Digital Synthesizer9.3 Resampling Filters9.3.1 CIC and Hogenauer Filters9.3.2 Half-Band Filters9.3.3 Arbitrary Resampling Using Polyphase Filterbanks 9.4 CoRDiC: Coordinate Rotation Digital Computer 9.4.1 Rotations: Moving on a Circle9.4.2 Moving Along Other Shapes9.5 Automatic gain Control 9.6 Notes and References9.7 Exercise 10 System Design10.1 Advance Discrete-Time Architectures10.1.1 Discrete-Time Architectures for QAM Modulators 10.1.2 Discrete-Time Architectures for QAM Demodulators10.1.3 Putting It all Together10.2 Channelization 10.2.1 Continuous-Time Techniques: The Superheterodynd Receiver10.2.2 Discrete-Time Techniques Using Multirate Processing 10.3 Notes and References10.4 Exercises
