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Detection in Single Electron Spin Microscopy Huimin Chen *  Jos é M.F. Moura Department of Electrical and Computer Engineering  Carnegie Mellon University * Visiting researcher at CMU Department of Physics and Astronomy  University of California, Los Angeles
M olecular  O bservation  S pectroscopy  A nd  I maging using  C antilevers ,[object Object],[object Object]
M olecular  O bservation  S pectroscopy  A nd  I maging using  C antilevers (Cont’d) ,[object Object],Best hope:  Have a very weak sinusoid signal with phase incoherence at the readout, buried by large shot noise
Outline ,[object Object],[object Object],[object Object],[object Object],[object Object]
Problem Formulation
Detection Schemes ,[object Object],[object Object],Performance for large  N where
Detection Schemes (Cont’d) ,[object Object],[object Object],The  best  performance one can achieve Energy detector and matched filter set two extremes about the knowledge of the signal.
Detection Schemes (Cont’d) ,[object Object],[object Object],[object Object],The power   ν = 2.4   is the best compromised value when the signal extent is unknown.  X j  = [ X 1 j   X 2 j  …  X Kj ],  j =1,…, L   where
Detection Schemes (Cont’d) ,[object Object],[object Object],[object Object],[object Object]
Detection Schemes (Cont’d) ,[object Object],[object Object],[object Object]
Two GLR Detection Schemes ,[object Object],[object Object]
Simulation Settings ,[object Object],[object Object],[object Object],[object Object],[object Object]
P D  vs. SNR, 20000 Samples per Sequence , with  f 0 =2.5MHz, mean phase coherence time=10 μ s
P D  vs.  N , SNR is  − 27dB, with  f 0 =2.5MHz, mean phase coherence time=10 μ s
Summary of the Simulation Results ,[object Object],[object Object],[object Object],[object Object]
Implementation Issues ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Comparison of Total Simulation Time: Parallelization by using more computing nodes
Average Computation Time per One Data Sequence (65536 Samples) All detection schemes can be implemented for real time signal probe.
Conclusions and Future Work ,[object Object],[object Object],[object Object],[object Object]
Other Research Experiences ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Comparison of Single Electron Spin Signal Detection Algorithms for Real-Time Microscopy

  • 1. Detection in Single Electron Spin Microscopy Huimin Chen * Jos é M.F. Moura Department of Electrical and Computer Engineering Carnegie Mellon University * Visiting researcher at CMU Department of Physics and Astronomy University of California, Los Angeles
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  • 13. P D vs. SNR, 20000 Samples per Sequence , with f 0 =2.5MHz, mean phase coherence time=10 μ s
  • 14. P D vs. N , SNR is − 27dB, with f 0 =2.5MHz, mean phase coherence time=10 μ s
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  • 17. Comparison of Total Simulation Time: Parallelization by using more computing nodes
  • 18. Average Computation Time per One Data Sequence (65536 Samples) All detection schemes can be implemented for real time signal probe.
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