商品簡介
This intuitive yet rigorous introduction derives the core results of digital communication from first principles, whilst theory, rather than industry standards, motivates the engineering approaches. With every concept defined mathematically, and including over 300 exercises, this is ideal for graduate courses and for anyone asking 'why' and not just 'how'.
目次
Preface
Acknowledgments
Ch 1. Some essential notation
Ch 2. Signals, integrals, and sets of measure zero
Ch 3. The inner product;
Ch 4. The space L2 of energy-limited signals
Ch 5. Convolutions and filters
Ch 6. The frequency response of filters and bandlimited signals
Ch 7. Passband signals and their representation
Ch 8. Complete orthonormal systems and the sampling theorem
Ch 9. Sampling real passband signals
Ch 10. Mapping bits to waveforms
Ch 11. Nyquist's criterion
Ch 12. Stochastic processes: definition
Ch 13. Stationary discrete-time stochastic processes
Ch 14. Energy and power in PAM
Ch 15. Operational power spectral density
Ch 16. Quadrature amplitude modulation
Ch 17. Complex random variables and processes
Ch 18. Energy, power, and PSD in QAM
Ch 19. The univariate Gaussian distribution
Ch 20. Binary hypothesis testing
Ch 21. Multi-hypothesis testing
Ch 22. Sufficient statistics
Ch 23. The multivariate Gaussian distribution
Ch 24. Complex Gaussians and circular symmetry
Ch 25. Continuous-time stochastic processes
Ch 26. Detection in white Gaussian noise
Ch 27. Noncoherent detection and nuisance parameters
Ch 28. Detecting PAM and QAM signals in white Gaussian noise
Ch 29. Linear binary block codes with antipodal signaling
Appendix: On the Fourier series
Bibliography
Theorems referenced by name
Abbreviations
List of symbols
Index
