Detection Theory Notes

MIMO (Multiple Antenna Systems) Notes



Notes Coves the following topics:

1. Basics of antenna radiation, waveform, coherence time, delay spread, bandwidth (Page: 1-14)
2. Input-output model of wireless channel, baseband-passband relation, channel taps, flat and fast fading (Page: 15-34)
3. Statistics model of wireless channel, noise modeling, SNR, Rayleigh distribution, Matrix, Cholesky decomposition, Eigan decomposition (Page: 35-60)
4. Complex gaussian vector, noise whitening (Page: 61-66)
5. Optimal detection rules
   5.1 Real scalar, ML rule (Page: 67)
   5.2 Vector detection  (Page: 70, 75)
   5.3 Collinear signaling (Page: 79)
   5.4 Probability of error of rayleigh fading (Page: 82)
   5.5 Diversity gain (Page: 86)
   5.6 Rayleigh fading probability error (4QAM, 4PAM) (Page: 87, 89)
6. Deep fade (Page: 92)
7. Receiver diversity (Page: 93)
8. Time diversity (Page: 96)
9. Code-design criteria (Page: 105)
10. Singular value decomposition (Page: 119)
11. Space-time block coding (STBC) (Page: 124)
12. Alamouti code (Page: 143)
13. Spatial multiplexing (Page: 148)
14. Zero forcing receiver (Page: 152)
15. ZF-SIC receiver (Page: 164)
16. MMSE receiver (Page: 169)
17. MMSE-SIC receiver (Page: 183)
19. Motivation for capacity and capacity (Page: 187)
20. Shannon's channel coding (Page: 189)
21. Derivation for capacity of time-invariant MIMO channel (Page: 205)
22. Capacity of AWGN (Page: 218)
23. Slow fading channel (Page: 219)

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