Signal Space Coding over Rings

for N-dimensional hypercube constellations 288
6.11 Modulated (Q/2)-dimensional signal sets for ring-BCM 290
6.11.1 Introduction 290
6.11.2 Modulated (Q/2)-dimensional signal sets 290
6.11.3 Modulated (Q/2)-dimensional signal set ring-BCM 298
6.11.3.1 Systematic circulant linear ring-Block-Coded
Modulation for Modulated (Q/2)-dimensional signal sets 298
6.11.3.2 RI systematic circulant linear ring-BCM schemes
over Modulated (Q/2)-dimensional signal sets 299
6.11.3.3 Pseudocyclic ring-Block-Coded Modulation
for (Q/2)-dimensional constellations 300
6.11.3.4 RI pseudocyclic ring-BCM schemes
for Modulated (Q/2)-dimensional signal sets 302
6.12 A decoder for a ring-BCM scheme 303
6.12.1 Introduction 303
6.12.2 A soft decision decoder for ring-BCM schemes 303
6.13 Conclusions 307
Chapter 7: Conclusions and further work
7.1 Conclusions 310
7.2 Further work 321
Appendix A: Multi-Resolution Analysis (MRA) 324
Appendix B: Power Spectral Density of the WOB
synthesised signal 327
Appendix C: Groups and rings 331
C.1 Groups. Introduction 331
C.1.1 Definition of a group 331
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