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References

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  1. P. L. Bender et al., Science 182, 229 (1973).
    [CrossRef] [PubMed]
  2. T. E. McGunigal et al., Preprint X-723-75-172NASA Goddard Space Flight Center, Greenbelt, Md., 1July1975.
  3. H. A. David, Order Statistics (Wiley, New York, 1970), pp. 25–30.
  4. J. P. Machewirth, D. Anafi, Lasermetrics Inc., Technical Note No. 6, Teaneck, N. J. (1975).
  5. B. Guscott, KMS Fusion, Inc.; private communication.

1973 (1)

P. L. Bender et al., Science 182, 229 (1973).
[CrossRef] [PubMed]

Anafi, D.

J. P. Machewirth, D. Anafi, Lasermetrics Inc., Technical Note No. 6, Teaneck, N. J. (1975).

Bender, P. L.

P. L. Bender et al., Science 182, 229 (1973).
[CrossRef] [PubMed]

David, H. A.

H. A. David, Order Statistics (Wiley, New York, 1970), pp. 25–30.

Guscott, B.

B. Guscott, KMS Fusion, Inc.; private communication.

Machewirth, J. P.

J. P. Machewirth, D. Anafi, Lasermetrics Inc., Technical Note No. 6, Teaneck, N. J. (1975).

McGunigal, T. E.

T. E. McGunigal et al., Preprint X-723-75-172NASA Goddard Space Flight Center, Greenbelt, Md., 1July1975.

Science (1)

P. L. Bender et al., Science 182, 229 (1973).
[CrossRef] [PubMed]

Other (4)

T. E. McGunigal et al., Preprint X-723-75-172NASA Goddard Space Flight Center, Greenbelt, Md., 1July1975.

H. A. David, Order Statistics (Wiley, New York, 1970), pp. 25–30.

J. P. Machewirth, D. Anafi, Lasermetrics Inc., Technical Note No. 6, Teaneck, N. J. (1975).

B. Guscott, KMS Fusion, Inc.; private communication.

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Figures (1)

Fig. 1
Fig. 1

This graph shows the range uncertainty resulting from using the time of the first arriving photon from a chopped-Gaussian pulse (TOFA) as a function of pulse width. The return signal (N) has been scaled proportional to the pulse width for two cases, N = 4W and N = 9W. The accuracy obtainable from the mean time of arrival of a Gaussian shaped pulse is also shown for the same signal strengths.

Equations (8)

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f ( t ) = { ( 1 / W ) , 0 < t < W 0 otherwise ,
F ( t ) = t f ( t ) d t = { 0 , t < 0 ( t / W ) , 0 < t < W 1 , W < t
μ t = E ( t ) = N - t [ 1 - F ( t ) ] N - 1 f ( t ) d t = W / ( N + 1 ) .
E ( t 2 ) = N · - t 2 · [ 1 - F ( t ) ] N - 1 f ( t ) d t = 2 W 2 ( N + 2 ) ( N + 1 ) .
σ 2 = E ( t 2 ) - [ E ( t ) ] 2 = W 2 N ( N + 2 ) ( N + 1 ) 2 ,
σ = ( N N + 2 ) 1 / 2 μ t .
μ t = W N + 1 / 2
σ = ( N N + 1 ) 1 / 2 μ t ,

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