Digital Communication

Preface.- Changes from the Second Edition.- Notes to an instructor.- Introduction.- Applications of Digital Communication. Digital Networks. Digital vs Analog Communications. Plan of the Book. Further Reading.- Deterministic Signal Processing.- Signals. LTI Systems and Fourier Transforms. The Nyquist Sampling Theorem. Downconversion and Complex Envelopes. Z Transforms and Rational Transfer Functions. Signals as Vectors. Properties of the Fourier Transform. Spectral Factorization.- Stochastic Signal Processing.- Random Variables. Random Processes. Markov Chains. The Poisson Process and Queueing. Further Reading. Power Spectrum of A Cyclostationary Process. Power Spectrum of A Markov Chain. Derivation of a Poisson Process. Moment Generating Function of Shot Noise.- Limits of Communication.- Just Enough Information About Entropy. Capacity of Discrete-Time Channels. Further Reading. Asymptotic Equipartition Theorem.- Pulse-Amplitude Modulation.- Baseband PAM. Passband PAM. The One-Shot Minimum-Distance Receiver. Minimum Distance Sequence Detection. Performance Analysis in AWGN. Further Reading.- Advanced Modulation.- M-ary Modulation. Probability of Error. Orthogonal Modulation. Orthogonal Pulse-Amplitude Modulation (OPAM). Modulation with Memory. Bandwidth and Signal Dimensionality. Capacity and Modulation. Further Reading. The Generalized Nyquist Criterion.- Probabilistic Detection.- Detection of a Single Real-Valued Symbol. Detection of a Signal Vector. Known Signals in Gaussian Noise. ML Sequence Detection with the Viterbi Algorithm. A Posteriori Probability Detection with BCJR. Symbol-Error Probability for MLSD. Incoherent Detection. Shot Noise Signal with Known Intensity. Further Reading. Karhunen-Loeve Expansion. Bit-Error Probability for Sequence Detectors. BCJR Forward/Backward Recursions.- Equalization.- Optimal Zero-Forcing Equalization. Generalized Equalization Methods. Fractionally Spaced Equalizer. Transversal Filter Equalizers. ISI and Channel Capacity. Further Reading. DFE Error Propagation.- Adaptive Equalization.- Constrained-Complexity Equalizers. Adaptive Linear Equalizer. Adaptive DFE. Fractionally Spaced Equalizer. Passband Equalization. Further Reading. SG Algorithm Error Vector Norm.- MIMO Communications.- Basics of MIMO Systems. The Gaussian MIMO Channel. Memoryless MIMO Channels. MIMO Detection with Channel Memory. Further Reading. Proof of Separability Result (10.45).- Fading and Diversity.- Types of Diversity. Receiver Diversity. Performance Analysis for Rayleigh Fading. The Diversity-Interference Trade-Off. Transmit Diversity. Layered Space-Time Modems. Proof of Conservation Theorem. Bound on Pairwise Error Probability.- Error Control.- The Capacity Penalty of Binary Coding. Binary Linear Block Codes. Convolutional Codes. Low-Density Parity-Check Codes. Turbo Codes. Historical Notes and Further Reading. Linear Codes. Maximal-Length Feedback Shift Registers. Path Enumerators. Derivation of the Tanh Rule.- Signal-Space Coding.- Multidimensional Signal Constellations. Trellis Codes. Coset Codes. Signal-Space Coding and ISI. Further Reading.- Phase-Locked Loops.- Ideal Continuous-Time PLL. Discrete-Time PLLs. Phase Detectors. Variations on a Theme: VCOs. Further Reading.- Carrier Recovery.- Decision-Directed Carrier Recovery. Power of N Carrier Recovery. Further Reading.- Timing Recovery.- Timing Recovery Performance. Spectral-Line Methods. MMSE Timing Recovery and Approximations. Baud-Rate Timing Recovery. Accumulation of Timing Jitter. Further Reading. The Poisson Sum Formula. Discrete-Time Derivative.- Multiple Access Alternatives.- Medium Topology for Multiple Access. Multiple Access by Time Division. Multiple Access by Frequency Division. Multiple Access by Code Division. The Cellular Concept.- Exercise Solutions.- Index.