Maximum Likelihood Post Detection Integration Methods for Satellite ...

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Context: Code Acquisition for Spread Spectrum systems. Classic problem: code detection in phase uncertainty. The Bible: Van Trees, Detection, Estimation, and ...
DEIS / ARCES - University of Bologna - Italy

Maximum Likelihood Post Detection Integration Methods for Spread Spectrum Systems Giovanni Emanuele Corazza and Raffaella Pedone DEIS/ARCES - University of Bologna – Italy University of Parma, May 3, 2004

DEIS / ARCES - University of Bologna - Italy

Outline Introduction System Model LRT: classic, GLRT, ALRT Analytical Model Numerical Results and discussion Applications and future vision

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DEIS / ARCES - University of Bologna - Italy

Introduction (1) Context: Code Acquisition for Spread Spectrum systems Classic problem: code detection in phase uncertainty The Bible: Van Trees, Detection, Estimation, and Modulation Theory, 1968. Optimal solution: ALRT assuming uniform phase distribution

Approximation

⎞ ⎛2 E Λ (r ) = I 0 ⎜⎜ | r | ⎟⎟ ⎠ ⎝ N0 x2 I 0 ( x) ≅ 1 + , 4

>
ξ
ξ < ^

H0

But with different terms Λn Similarly to STML we can define APDI[Λ(m)], m ≤ L and APDI[Λ(2)]

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DEIS / ARCES - University of Bologna - Italy

Average-PDI (2) Result: Λ0 : NCPDI xk

|.

|2

ΣL

Λ0

> ξ
ξ
ξ

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