• Chinese Optics Letters
  • Vol. 14, Issue 6, 062801 (2016)
Dongxian Geng, Xing Fu, Pengfei Du, Wei Wang, and Mali Gong*
Author Affiliations
  • State Key Laboratory of Precision Measurement Technology and Instruments, Center for Photonics and Electronics, Department of Precision Instruments, Tsinghua University, Beijing 100084, China
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    DOI: 10.3788/COL201614.062801 Cite this Article Set citation alerts
    Dongxian Geng, Xing Fu, Pengfei Du, Wei Wang, Mali Gong. Combination of differential discrimination and direct discrimination in pulsed laser time-of-flight systems[J]. Chinese Optics Letters, 2016, 14(6): 062801 Copy Citation Text show less

    Abstract

    The output amplitude of the differential circuit is studied for differential discrimination in pulsed laser time-of-flight systems. Based on the studies of the probability of detection and the probability of false alarms, the minimum detectable input signal of differential discrimination can be calculated. The results indicate that the differential discrimination detectability of the small signal will be reduced. A combined discrimination is proposed in this Letter to improve the time resolution of the large signal and ensure the probability of detection of the small signal at the same time. A proper value of the circuit parameter is found to balance the time resolutions of the small and large signals.
    vi=a·exp[(tbc)2],(1)

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    FWHM=2ln2·c.(2)

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    1τvo(t)=dvi(t)dtdvo(t)dt.(3)

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    dvodt+1τvo=2a(tb)c2exp[(tbc)2].(4)

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    f(c/τ)=voutmax/vinmax.(5)

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    Pd=12+12erf(VsVth2σVn),(6)

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    Pfa=12erfc(Vth2σVn),(7)

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    Vs=2σVn[erf1(2Pd1)+erfc1(2Pfa)],(8)

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    Vsdi=2σVn[erf1(2Pd1)+erfc1(2Pfa)]/f(c/τ).(9)

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    Dongxian Geng, Xing Fu, Pengfei Du, Wei Wang, Mali Gong. Combination of differential discrimination and direct discrimination in pulsed laser time-of-flight systems[J]. Chinese Optics Letters, 2016, 14(6): 062801
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