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Solutions Communications Technology II WS 2011/2012

Solutions Communications Technology II WS 2011/2012

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“<strong>Communications</strong> <strong>Technology</strong> <strong>II</strong>” – <strong>Solutions</strong> <strong>WS</strong> <strong>2011</strong>/<strong>2012</strong> 143 MobileRadioChannelSolution to exercise 11 (mobrad01):a)f D = v c 0·f 0 ·cos(α)f D0 = 185.2Hz, f D1 = 0Hz, f D2 = −151.7Hzb)10.90.80.7Amplitude0.60.50.40.30.20.10−200 −150 −100 −50 0 50 100 150 200f [Hz]c)Amplitude10.90.80.70.60.50.40.30.20.10t_0 t_1 t_2Delayd)h K (t) =n∑ρ ν ·δ(t−τ ν ) = 1+r 1 ·δ(t−τ 1 )+r 2 ·δ(t−τ 2 )ν=0n∑H K (jω) = ρ ν ·exp(−jωτ ν ) = 1+r 1 ·exp(−jωτ 1 )+r 2 ·exp(−jωτ 2 )ν=0e) H TP (jω) = H K (j(ω +ω 0 )), |f| < B/2⎧⎨[ ]1+r1 ·e −j(ω+ω 0)τ 1+r 2 ·e −j(ω+ω 0)τ 2for − BH TP (jω) =≤ f ≤ B 2 2⎩0 otherwise

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