Synchronization - Digital Communication Chapter 6 & 7 - Unik

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performance in presence of noiseNow the received signal isr(t) = cos(ω 0 t + θ(t)) + n(t)rewriting the zero-mean Gaussian noise:n(t) = n c (t) cos(ω 0 t) + n s (t) sin(ω 0 t)SynchronizationOla JetlundIntroductionSynchronizationPhase syncPLLlinear loop modelnonlinear PLL modelSymbol syncFrame sync’Network sync’we get the following error signale(t) =x(t)r(t)= sin(θ(t) − ˆθ(t)) + n ′ (t) + 2 sin(2ω 0 + . . .)wheren ′ (t) = n c (t) cos(ˆθ(t)) + n s (t) sin(ˆθ(t))
complete linear model of the PLLSynchronizationOla JetlundIntroductionSynchronizationθ(t)−F (ω)K 0 /jωˆθ(t)Phase syncPLLlinear loop modelnonlinear PLL modelSymbol syncFrame sync’n ′ (t)Network sync’NB! Assumessin(θ(t) − ˆθ(t)) ≈ θ(t) − ˆθ(t)which is only true for small phase errors!
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Page 15 and 16: symbol synchonizationSynchronizatio
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Synchronization - Digital Communication Chapter 6 & 7 - Unik

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