1. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-1 ECEG287 Optical Detection Course Notes Part 14: SNR Analysis Profs. Charles A. DiMarzio and Stephen W. McKnight Northeastern University, Spring 2004

2. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-2 SNR Layout for Direct Detection PsPs P BKG BPF Preamp Amp Filter

3. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-3 Direct-Detection SNR Summary 0 -10 -20 -30 -40 -50 -60 -70 -80 -90 -100 -110 -120 Direct 1GHz Direct 1MHz Sig Quantum D* Johnson Sunlit Bkg 300K Bkg Quantum D* Johnson Sunlit Bkg 300K Bkg Sig

4. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-4 SNR Layout for Coherent Detection PsPs P BKG BPF Preamp Amp P LO Filter?

5. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-5 SNR Summary 0 -10 -20 -30 -40 -50 -60 -70 -80 -90 -100 -110 -120 Direct 1GHz Direct 1MHzCoherent 100kHz Sig Quantum Coherent 1GHz D* Johnson Sunlit Bkg 300K Bkg Quantum D* Johnson Sunlit Bkg 300K Bkg Sig Quantum Sunlit Bkg 300K Bkg Sunlit Bkg 300K Bkg Johnson D* Johnson

6. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-6 Detection Statistics Determine Probability Density Distributions –Noise –Signal with Noise Assume a Threshold, t –Calculate Probability of False Alarm, P fa –Calculate Probabiliity of Detection, P d Plot P d vs. P fa, Varying t

7. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-7 Incoherent Noise Statistics

8. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-8 Incoherent Signal Statistics SNR=4 SNR=9

9. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-9 Incoherent Detection Statistics

10. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-10 Coherent Detection Field Statistics –Complex Gaussian –Zero Mean –Real and Imaginary Parts Uncorrelated Magnitude of the Field –Rayleigh Power –Negative Exponential

11. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-11 Coherent PDF’s

12. February 2004 Charles A. DiMarzio, Northeastern University 10464-14-12 Coherent Signal Statistics SNR=9 inc SNR=9 coh SNR=4 inc SNR=4 coh Noise