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 Digital data transmission . . . Communication system blocks . Goals of this class . . . . . . . Class organization . . . . . . . Lessons from class . . . . . . . 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 9 9 12 13 13 2 Signals and Detection Data Modulation and Demodulation . . . . . . . . . . . . Mapping of vectors to waveforms . . . . . . . . . . Demodulation . . . . . . . . . . . . . . . . . . . . . Data detection . . . . . . . . . . . . . . . . . . . . . . . . Criteria for detection . . . . . . . . . . . . . . . . . Minmax decoding rule . . . . . . . . . . . . . . . . Decision regions . . . . . . . . . . . . . . . . . . . Bayes rule for minimizing risk . . . . . . . . . . . . Irrelevance and reversibility . . . . . . . . . . . . . Complex Gaussian Noise . . . . . . . . . . . . . . . Continuous additive white Gaussian noise channel Binary constellation error probability . . . . . . . Error Probability for AWGN Channels . . . . . . . . . . . Discrete detection rules for AWGN . . . . . . . . . Rotational and translational invariance . . . . . . Bounds for M > 2 . . . . . . . . . . . . . . . . . . Signal sets and measures . . . . . . . . . . . . . . . . . . . Basic terminology . . . . . . . . . . . . . . . . . . Signal constellations . . . . . . . . . . . . . . . . . Lattice-based constellation: . . . . . . . . . . . . . Problems . . . . . . . . . . . . . . . . . . . . . .
