1. The document discusses different algorithms for detecting weak electron spin signals in single electron spin microscopy, including energy detector, matched filter, power-law detector, M-quadratic detector, and generalized likelihood ratio detector. 2. Simulation results show that detection performance improves with more prior knowledge of the signal characteristics, and the M-quadratic detector achieves better performance than the energy detector with lower computation time. 3. Future work involves developing optimal quadratic detection schemes and implementing the algorithms on a computer cluster for real-time signal detection.

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

5. Problem Formulation

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

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.