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EE620-HW-01-solutions

# EE620-HW-01-solutions - EE 620 MIMO Wireless Communications...

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1 EE 620: MIMO Wireless Communications Solutions for Homework #1: (1) Maximum Doppler frequency and normalized maximum Doppler frequency s m s m h km v / 3 80 3600 10 96 / 96 3 = × = = m f c c 3 1 10 900 10 3 6 8 = × × = = λ Hz v f MAX D 80 3 / 1 3 / 80 , = = = λ 0027 . 0 10 30 1 80 1 80 3 , = × × = × = BW T f S MAX D (2) In this case, the Rayleigh fading channel is generated with a normalized maximum Doppler frequency of 0027 . 0 , = s MAX D T f . Figure 1 is obtained with the first 200 channel samples and Figure 2 is obtained with the first 8000 channel samples. 0 20 40 60 80 100 120 140 160 180 200 10 0.5 10 0.6 10 0.7 Channel samples |h(t)| in dB fdmax*Ts=0.0027 and 200 channel samples Figure 1. Rayleigh fading channel ( 0027 . 0 , = s MAX D T f and 200 channel samples)

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2 0 1000 2000 3000 4000 5000 6000 7000 8000 10 -2 10 -1 10 0 10 1 Channel samples |h(t)| in dB fdmax*Ts=0.0027 and 8000 channel samples Figure 2. Rayleigh fading channel ( 0027 . 0 , = s MAX D T f and 8000 channel samples) 0 20 40 60 80 100 120 140 160 180 200 10 0 Channel samples |h(t)| in dB fdmax*Ts=0.1 and 200 channel samples Figure 3. Rayleigh fading channel ( 1 . 0
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