Digital Communications 2

This second volume covers the following blocks in the chain of communication: the modulation baseband and transposed band, synchronization and channel estimation as well as detection. Variants of these blocks, the multicarrier modulation and coded modulations are used in current systems or future.

Autorentext

Didier Le Ruyet received his Eng. Degree and his Ph. D. degree from Conservatoire National des Arts et Métiers (CNAM) in 1994 and 2001 respectively. In 2009, he received the "Habilitation à diriger des recherches" from Paris XIII University. He is full professor at CNAM since 2010 and deputy director of the center for research in Computer Science and Telecommunications (CEDRIC). He has published about 100 papers in refereed journals and conference proceedings. His main research and teaching activities lie in the areas of digital communication, wireless communication and signal processing including channel coding and multi-antenna transmission.

Mylène Pischella received her engineering degree and her phD in electronics and telecommunications from Télécom ParisTech. She is an associate professor at Conservatoire National des Arts et Métiers (CNAM), where she is responsible of courses on digital communications, wireless communications and information theory.

Inhalt
Preface xi List of Acronyms xiii

Notations. xvii

Introduction xix

Chapter 1. Background 1

1.1. Introduction 1

1.2. Common operations and functions 1

1.2.1. Convolution 1

1.2.2. Scalar product 2

1.2.3. Dirac function, Dirac impulse and Kronecker's symbol 2

1.2.4. Step function 3

1.2.5. Rectangular function 3

1.3. Common transforms 3

1.3.1. Fourier transform 3

1.3.2. The z transform 6

1.4. Probability background 6

1.4.1. Discrete random variables 7

1.4.2. Continuous random variables 9

1.4.3. Jensen's inequality 9

1.4.4. Random signals 10

1.5. Background on digital signal processing 13

1.5.1. Sampling 13

1.5.2. Discrete, linear and time-invariant systems 14

1.5.3. Finite impulse response filters 17

1.5.4. Infinite impulse response filters 17

Chapter 2. Baseband Transmissions 19

2.1. Introduction 19

2.2. Line codes 20

2.2.1. Non-return to zero (NRZ) code 20

2.2.2. Unipolar return-to-zero (RZ) code 23

2.2.3. Bipolar return-to-zero (RZ) code 25

2.2.4. Manchester code 25

2.2.5. Alternate mark inversion code 26

2.2.6. Miller code 28

2.2.7. Non-return to zero inverted (NRZI) 31

2.2.8. Multi level transmit 3 (MLT-3) code 32

2.2.9. RLL(d,k) codes 33

2.2.10. M-ary NRZ code 35

2.3. Additive white Gaussian noise channel 36

2.4. Optimum reception on the additive white Gaussian noise channel 38

2.4.1. Introduction 38

2.4.2. Modulator's block diagram 39

2.4.3. Optimum receiver for the additive white Gaussian noise channel 44

2.4.4. Evaluation of the bit error rate for the binary NRZ signal on the additive white Gaussian noise channel 52

2.5. Nyquist criterion 60

2.5.1. Introduction 60

2.5.2. Transmission channel 61

2.5.3. Eye diagram 62

2.5.4. Nyquist criterion 63

2.5.5. Transmit and receive filters with matched filter 66

2.6. Conclusion 68

2.7. Exercises 69

2.7.1. Exercise 1: power spectrum density of several line codes 69

2.7.2. Exercise 2: Manchester code 70

2.7.3. Exercise 3: study of a magnetic recording system 70

2.7.4. Exercise 4: line code and erasure 72

2.7.5. Exercise 5: 4 levels NRZ modulation 73

2.7.6. Exercise 6: Gaussian transmit filter 74

2.7.7. Exercise 7: Nyquist criterion 75

2.7.8. Exercise 8: raised cosine filter 76

Chapter 3. Digital Modulations on Sine Waveforms 77

3.1. Introduction 77

3.2. Passband transmission and equivalent baseband chain 78

3.2.1. Narrowband signal 78

3.2.2. Filtering of a narrowband signal in a passband channel 82

3.2.3. Complex order of a second-order stationary random process 84

3.2.4. Synchronous detection 90

3.3. Linear digital modulations on sine waveforms 92

3.3.1. Main characteristics of linear digital modulations 92

3.3.2. Parameters of an M-symbols modulation 96

3.3.3. Amplitude shift keying 98

3.3.4. Phase shift keying 106

3.3.5. Quadrature amplitude modulations 113

3.3.6. Link between Eb N0 and signal-to-noise ratio depending on the power values 119

3.3.7. Power spectrum density of regular modulations 120

3.3.8. Conclusion 121

3.4. Frequency shift keying 122

3.4.1. Definitions 122

3.4.2. Discontinuous-phase FSK 124

3.4.3. Continuous-phase FSK 126

3.4.4. Demodulation 126

3.4.5. GMSK modulation 130

3.4.6. Performances 132

3.5. Conclusion 135

3.6. Exercises 135

3.6.1. Exercise 1: constellations of 8-QAM 135

3.6.2. Exercise 2: irregular ASK modulation 136 3.6.3. Exercise 3: comparison of two PSK 137</p...