
A Foundation in Digital Communication
Cambridge University Press
Edition: 2, 2/8/2017
EAN 9781107177321, ISBN10: 1107177324
Hardcover, 916 pages, 25.4 x 18.3 x 4.6 cm
Language: English
Written in the intuitive yet rigorous style that readers of A Foundation in Digital Communication have come to expect, this second edition includes entirely new chapters on the radar problem (with Lyapunov's theorem) and intersymbol interference channels, new discussion of the baseband representation of passband noise, and a simpler, more geometric derivation of the optimal receiver for the additive white Gaussian noise channel. Other key topics covered include the definition of the power spectral density of nonstationary stochastic processes, the geometry of the space of energy-limited signals, the isometry properties of the Fourier transform, and complex sampling. Including over 500 homework problems and all the necessary mathematical background, this is the ideal text for one- or two-semester graduate courses on digital communications and courses on stochastic processes and detection theory. Solutions to problems and video lectures are available online.
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
30. The radar problem
31. A glimpse at discrete-time signal processing
32. Intersymbol interference.