A foundation in digital communication/ Lapidoth, Amos

Preface; Acknowledgments; 1. Some essential notation; 2. Signals, integrals, and sets of measure zero; 3. The inner product; 4. The space L2 of energy-limited signals; 5. Convolutions and filters; 6. The frequency response of filters and bandlimited signals; 7. Passband signals and their representation; 8. Complete orthonormal systems and the sampling theorem; 9. Sampling real passband signals; 10. Mapping bits to waveforms; 11. Nyquist's criterion; 12. Stochastic processes: definition; 13. Stationary discrete-time stochastic processes; 14. Energy and power in PAM; 15. Operational power spectral density; 16. Quadrature amplitude modulation; 17. Complex random variables and processes; 18. Energy, power, and PSD in QAM; 19. The univariate Gaussian distribution; 20. Binary hypothesis testing; 21. Multi-hypothesis testing; 22. Sufficient statistics; 23. The multivariate Gaussian distribution; 24. Complex Gaussians and circular symmetry; 25. Continuous-time stochastic processes; 26. Detection in white Gaussian noise; 27. Noncoherent detection and nuisance parameters; 28. Detecting PAM and QAM signals in white Gaussian noise; 29. Linear binary block codes with antipodal signaling; Appendix. On the Fourier series; Bibliography; Theorems referenced by name; Abbreviations; List of symbols; Index.