3:Diversity EECS Wireless F oundations Simplest Code:Repetition After interleaving over L coherence time periods, ye=hexe+we;e=1,...,L Repetition coding:e=x for all e. y=hx+w where y [y1,...,yL,h=[h1,...,hLlt,and w=[w1,...;wLJt. This is classic vector detection in white Gaussian noise. Fundamentals of Wireless Communication,Tse&Viswanath 11
3: Diversity Fundamentals of Wireless Communication, Tse&Viswanath 11 Simplest Code: Repetition After interleaving over L coherence time periods, Repetition coding: for all This is classic vector detection in white Gaussian noise. where and
3:Diversity ireless oundations Geometry 2 For BPSK x=土a, y uA +ah,uB =-ah. h* uB = 1 Is a sufficient statistic(match filtering). Reduces to scalar detection problem: UB A =hlx+w Fundamentals of Wireless Communication,Tse&Viswanath 12
3: Diversity Fundamentals of Wireless Communication, Tse&Viswanath 12 Geometry For BPSK Is a sufficient statistic (match filtering). Reduces to scalar detection problem:
3:Diversity EECS Wireless Foundations Deep Fades Become Rarer 1.0 Qo P(I2<≈2 L=1 L=2 ≈P(P<sR 0.3 L=3L=4 1 1 0.2 L=5 L!SNRL 0.1 0 2.5 5 7.5 10 Fundamentals of Wireless Communication,Tse&Viswanath 13
3: Diversity Fundamentals of Wireless Communication, Tse&Viswanath 13 Deep Fades Become Rarer
3:Diversity Wireless oundations Performance L=1 105 L=2 10-10 L=3 Pe L=4 10-15 L=5 10-20 1025 10-505 1015 2025 303540 SNR(dB) Fundamentals of Wireless Communication,Tse&Viswanath 14
3: Diversity Fundamentals of Wireless Communication, Tse&Viswanath 14 Performance