MATLAB^/Simulink for Digital Communication

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1 /n- i-.1 MATLAB^/Simulink for Digital Communication Won Y. Yang, Yong S. Cho, Won G. Jeon, Jeong W. Lee, Jong H. Paik Jae K. Kim, Mi-Hyun Lee, Kyu I. Lee, Kyung W. Park, Kyung S. Woo

2 V Table of j Contents PREFACE iii CHAPTER 1: FOURIER ANALYSIS CONTINUOUS-TIME FOURIER SERIES (CTFS) PROPERTIES OF CTFS Time-Shifting Property Frequency-Shifting Property Modulation Property CONTINUOUS-TIME FOURIER TRANSFORM (CTFT) PROPERTIES OF CTFT Linearity Conjugate Symmetry Real Translation (Time Shifting) and Complex Translation (Frequency Shifting) Real Convolution and Correlation Complex Convolution- Modulation/Windowing Duality Parseval Relation - Power Theorem DISCRETE-TIME FOURIER TRANSFORM (DTFT) DISCRETE-TIME FOURIER SERIES - DFS/DFT SAMPLING THEOREM Relationship between CTFS and DFS Relationship between CTFT and DTFT Sampling Theorem POWER, ENERGY, AND CORRELATION LOWPASS EQUIVALENT OF BANDPASS SIGNALS 30 Problems 36 CHAPTER 2: PROBABILITY AND RANDOM PROCESSES PROBABILITY Definition of Probability Joint Probability and Conditional Probability Probability Distribution/Density Function Joint Probability Density Function Condtional Probability Density Function Independence Function of a Random Variable Expectation, Covariance, and Correlation Conditional Expectation Central Limit Theorem -Normal Convergence Theorem Random Processes Stationary Processes and Ergodic Processes Power Spectral Density (PSD) White Noise and Colored Noise LINEAR FILTERING AND PSD OF A RANDOM PROCESS FADING EFFECT OF A MULTI-PATH CHANNEL 59 Problems 62

3 vi Contents CHAPTER 3: AN ALOG MODUL ATION AMPLITUDE MODULATION (AM) DSB (Double Sideband)-AM (Amplitude Modulation) Conventional AM (Amplitude Modulation) SSB (Single Sideband)-AM(Amplitude Modulation) ANGLE MODULATION - FREQUENCY/PHASE MODULATIONS 82 Problems 86 CHAPTER 4: ANALOG-TO-DIGITAL CONVERSION QUANTIZATION Uniform Quantization Non-uniform Quantization Non-uniform Quantization Considering Relative Errors Pulse Code Modulation (PCM) Differential Pulse Code Modulation (DPCM) Delta Modulation (DM) 100 Problems 103 CHAPTER 5: BASEBAND DIGITAL TRANSMISSION RECEIVER (RCVR) and SNR Receiver of RC Filter Type Receiver of Matched Filter Type Signal Correlator SIGNALING AND ERROR PROBABILITY Antipodal (Bipolar) Signaling OOK(On-OffKeying)/Unipolar Signaling Orthogonal Signaling Signal Constellation Diagram Simulation of Binary Communication Multi-level(amplitude) РАМ Signaling Multi-dimensional Signaling Bi-orthogonal Signaling 133 Problems 136 CHAPTER 6: BANDLIMITED CHANNEL AND EQUALIZER BANDLIMITED CHANNEL Nyquist Bandwidth Raised-Cosine Frequency Response Partial Respone Signaling - Duobinary Signaling EQUALIZER Zero-Forcing Equalizer (ZFE) MMSE Equalizer (MMSEE) Adaptive Equalizer (ADE) Decision Feedback Equalizer (DFE) 155 Problems 159 CHAPTER 7: BANDPASSDIGITALTRANSMISSION AMPLITUDE MODULATION - AMPLITUDE SHIFT KEYING (ASK) FREQUENCY MODULATION - FREQUENCY SHIFT KEYING (FSK) PHASE MODULATION - PHASE SHIFT KEYING (PSK) DIFFERENTIAL PHASE SHFT KEYING (DPSK) QUADRATURE AMPLITUDE MODULATION (QAM) - PAM/PSK 195

4 Contents vii 7.6 COMPARISON OF VARIOUS SIGNALINGS 200 Problems 205 CHAPTER 8: CARRIER RECOVERY AND SYMBOL SYNCHRONIZATION INTRODUCTION PLL (PHASE-LOCKED LOOP) ESTIMATION OF CARRIER PHASE USING PLL CARRIER PHASE RECOVERY Carrier Phase Recovery Using a Squaring Loop for BPSK Signals Carrier Phase Recovery Using Costas Loop for PSK Signals Carrier Phase Recovery for QAM Signals SYMBOL SYNCHRONIZATION (TIMING RECOVERY) Early-Late Gate Timing Recovery for BPSK Signals NDA-ELD Synchronizer for PSK Signals 244 Problems 247 CHAPTER 9: INFORMATION AND CODING MEASURE OF INFORMATION - ENTROPY SOURCE CODING Huffman Coding Lempel-Zip-Welch Coding Source Coding vs. Channel Coding CHANNEL MODEL AND CHANNEL CAPACITY CHANNEL CODING Waveform Coding Linear Block Coding Cyclic Coding Convolutional Coding and Viterbi Decoding Trellis-Coded Modulation (TCM) Turbo Coding Low-Density Parity-Check (LDPC) Coding Differential Space-Time Block Coding (DSTBC) CODING GAIN 316 Problems 318 CHAPTER 10: SPREAD-SPECTRUM SYSTEM PN (Pseudo Noise) Sequence DS-SS (Direct Sequence Spread Spectrum) FH-SS (Frequency Hopping Spread Spectrum) 350 Problems 354 CHAPTER 11: OFDM SYSTEM OVERVIEW OF OFDM FREQUENCY BAND AND BANDWIDTH EFFICIENCY OF OFDM CARRIER RECOVERY AND SYMBOL SYNCHRONIZATION CHANNEL ESTIMATION AND EQUALIZATION INTERLEAVING AND DEiNTERLEAVING PUNCTURING AND DEPUNCTURING IEEESTANDARD802.11A Problems 393

5 viii Contents APPENDICIES 407 Appendix A: Fourier Series/Transform 407 Appendix B: Laplace Transform and z -Transform 412 Appendix C: Differentiation w.r.t. a Vector 414 Appendix D: Useful Formulas 415 Appendix E: MATLAB Introduction 417 Appendix F: Simulink 421 REFERENCES 425 INDEX 427

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