Introduction The PNS solution Improved PNS PNS delay estimation Conclusion
Blind PNS delay estimation4
Principle: stationarity property
Property: wide sense stationarity of the reconstructed signal
X( ˜
∆) = {X( ˜
∆)(t), t ∈ R} if and only if ˜
∆ = ∆. In particular:
P( ˜
∆)(tm
) = E X( ˜
∆) (tm
)
2
, tm
=
m
M + 1
, m = 1, ..., M
independent of tm.
Strategy: estimation of the reconstructed signal power P( ˜
∆)(tm
)
for m = 1, ..., M for different values of ˜
∆:
P( ˜
∆)(tm
) =
1
N
N
2
n=− N
2
X( ˜
∆) (n + tm
)
2
, m = 1, ..., M.
4J.-A. Vernhes et al. “Estimation du retard en ´
echantillonnage p´
eriodique non
uniforme - Application aux CAN entrelac´
es d´
esynchronis´
es”. In: GRETSI 2015.
Marie Chabert IRIT-ENSEEIHT – T´
eSA – CNES – TAS
Periodic Non-Uniform Sampling (PNS) for Satellite Communications 40 / 44