Required work 7.3. Appendix: Diagrams of the QPSK modem and its different blocks 8 Study of a Coding and Decoding System by Cyclic Codes 8.1. Objective 8.2. Recall of the principles of cyclic coding and decoding 8.3. Coding by division: systematic code 8.4. Decoding by division: principle of calculating the syndrome 8.5. Required work 8.6. Appendix: Block diagrams
8 Index
Guide
1 Cover
5 Foreword
8 Index
List of Illustrations
1 Chapter 1Figure 1.1. Basic diagram of a digital communicationFigure 1.2. Basic block diagram of a digital communication of a memoryless infor...Figure 1.3. Block diagram of a digital transmission system for analog signalFigure 1.4. General scheme of a digital transmission of a TV signal with inform...Figure 1.5. Information compression using a DPCM system and a Huffman code C4Figure 1.6. Probability law Pr(U) of TV frames grey levels UFigure 1.7. Block diagram of Hamming coder C(7, 4)Figure 1.8. Block diagram of Hamming decoder C(7, 4)Figure 1.9. Implementation scheme of the encoderFigure 1.10. Implementation scheme of the decoderFigure 1.11. Implementation scheme of the coder based on a linear feedback shift...Figure 1.12. Implementation scheme of the decoder based on a linear feedback shi...Figure 1.13. Pseudo-random number generator and register statesFigure 1.14. Structure of the decoder for the detection of errors. For a color ...Figure 1.15. Implementation scheme of the pre-multiplied coderFigure 1.16. Implementation scheme of the pseudo-random number generator (PRNG)Figure 1.17. Implementation scheme of the coder. For a color version of this fig...Figure 1.18. Implementation scheme of the decoder. For a color version of this f...Figure 1.19. Implementation scheme of the pseudo-random number generator based ...Figure 1.20. Implementation scheme of the Gold generator
2 Chapter 2Figure 2.1. Partial response linear coding schemeFigure 2.2. Examples of binary RZ and NRZ codes. For a color version of this fig...Figure 2.3. Example of signal s(t) waveform with θ < T/2Figure 2.4. First situation: 0 ≤ τ ≤ θ (with θ ≤ T/2)Figure 2.5. Second and third situationsFigure 2.6. Autocorrelation function Rs (τ) and its decompositionFigure 2.7. Symmetrical triangular functionFigure 2.8. Discrete spectral components of the power spectral density I2 (f) Fo...Figure 2.9. First situation: 0 < τ ≤ θ (with T/2 < θ ≤ T). For a color version o...Figure 2.10. Second situation: θ ≤ τ < TFigure 2.11. Third situation: T ≤ τ < T + θ . For a color version of this figure...Figure 2.12. Autocorrelation function Rs (τ) and its decomposition. For a color ...Figure 2.13. Example of a bipolar RZ signal waveform. For a color version of thi...Figure 2.14. First case: 0 < τ < T/2 and a positive impulsion at t. For a color ...Figure 2.15. First case: 0 ≤ τ ≤ T/2 and negative impulse at t . For a color ver...Figure 2.16. Second case: T/2 < τ ≤ T . For a color version of this figure, see ...Figure 2.17. Third case: T < τ ≤ T + T/2 . For a color version of this figure, s...Figure 2.18. Fourth case: 3T/2 < τ ≤ 2T . For a color version of this figure, se...Figure 2.19. (a) Autocorrelation function of the bipolar RZ code and (b) its dec...Figure 2.20. Trapezoidal function. For a color version of this figure, see www.i...Figure 2.21. Power spectral density of the bipolar RZ code. For a color version ...Figure 2.22. Transmission system with partial response linear encoderFigure 2.23. Basic pulse shape (type RZ)Figure 2.24. Block diagram of the partial response linear coderFigure 2.25. Structure of the partial response linear coder (D: D flip-flop sync...Figure 2.26. Block diagram of the baseband transmission systemFigure 2.27. Power spectral density Γb0 (f) of noise b0 (t)Figure 2.28. Amplitude spectrum P (f) of p (t)Figure 2.29. Block diagram of the baseband digital transmission systemFigure 2.30. Equivalent power spectral density of noise b0 (t)Figure 2.31. Amplitude spectrum P(f) of p(t)Figure 2.32. First-order R-C low pass filterFigure 2.33. Amplitude spectrum P(f) of p(t)Figure 2.34. Block diagram of the baseband transmission system on a cableFigure 2.35. Amplitude spectrum P(f) of p(t)Figure 2.36. Sample values akV, optimal thresholds and decision classes of ak : ...Figure 2.37. Sample values ak2V, optimal thresholds and decision classes of ak :...Figure 2.38. Practical chain of a digital baseband communication system with bip...Figure 2.39. Block diagram of RZ bipolar coder and decoderFigure 2.40. Amplitude spectrum P(f) of p(t)Figure 2.41. Sample values without ISI and noise, optimal thresholds and decisio...Figure 2.42. Baseband transmission and reception chain with partial response lin...Figure 2.43. Temporal diagrams of duobinary coding and decodingFigure 2.44. Duobinary precoder, transcoder and coder schemeFigure 2.45. Chronograms of duobinary coding and decoding. For a color version o...Figure 2.46. Values of sample ckV, optimum thresholds and decision classes of ck...Figure 2.47. Gaussian probability