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Ebook Advanced digital communications

Ebook Advanced digital communications has contents: Reviewof signal processingand detection, transmission over linear time invariantchannels, wireless communications, connections to information theory, appendix. | Advanced Digital Communications Suhas Diggavi ´ Ecole Polytechnique F´d´rale de Lausanne (EPFL) e e School of Computer and Communication Sciences Laboratory of Information and Communication Systems (LICOS) November 29, 2005 2 Contents I Review of Signal Processing and Detection 1 Overview 1.1 Digital data transmission . . . 1.2 Communication system blocks . 1.3 Goals of this class . . . . . . . 1.4 Class organization . . . . . . . 1.5 Lessons from class . . . . . . . 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 9 9 12 13 13 2 Signals and Detection 2.1 Data Modulation and Demodulation . . . . . . . . . . . . 2.1.1 Mapping of vectors to waveforms . . . . . . . . . . 2.1.2 Demodulation . . . . . . . . . . . . . . . . . . . . . 2.2 Data detection . . . . . . . . . . . . . . . . . . . . . . . . 2.2.1 Criteria for detection . . . . . . . . . . . . . . . . . 2.2.2 Minmax decoding rule . . . . . . . . . . . . . . . . 2.2.3 Decision regions . . . . . . . . . . . . . . . . . . . 2.2.4 Bayes rule for minimizing risk . . . . . . . . . . . . 2.2.5 Irrelevance and reversibility . . . . . . . . . . . . . 2.2.6 Complex Gaussian Noise . . . . . . . . . . . . . . . 2.2.7 Continuous additive white Gaussian noise channel 2.2.8 Binary constellation error probability . . . . . . . 2.3 Error Probability for AWGN Channels . . . . . . . . . . . 2.3.1 Discrete detection rules for AWGN . . . . . . . . . 2.3.2 Rotational and translational invariance . . . . . . 2.3.3 Bounds for M > 2 . . . . . . . . . . . . . . . . . . 2.4 Signal sets and measures . . . . . . . . . . . . . . . . . . . 2.4.1 Basic terminology . . . . . . . . . . . . . . . . . . 2.4.2 Signal constellations . . . . . . . . . . . . . . . . . 2.4.3 Lattice-based constellation: . . . . . . . . . . . . . 2.5 Problems . . . . . . . . . . . . . . . . . . . . . .