Derivation of the error in estimating the time separation between two pulses in the presence of either white, lowpass, or bandpass noise
Measuring the yield of an underground nuclear detonation using sensor cables has been proposed for verification purposes. These cables not only sense the signals associated with the yield they also capture the sensitive primary and secondary electromagnetic pulses associated with the detonation but have nothing to do with the yield. An anti-intrusiveness device is to be connected to the sensor cable to prevent the electromagnetic pulses from passing through to the verifier. The anti-intrusiveness device both attenuates the electromagnetic pulses and adds noise to the cable over the interval of time that the electromagnetic pulses may be present. This report addresses the problem of determining the optimum noise spectral density for masking the electromagnetic pulses. To this end it derives an expression for the lower bound on the error in the estimation of the time separation between two pulses when the time of arrival of neither is known and they are imbedded in Gaussian noise. The noise spectral shapes considered are white, and lowpass, and bandpass.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 5151753
- Report Number(s):
- SAND-92-0766; ON: DE92015387
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
NUCLEAR EXPLOSION DETECTION
UNDERGROUND EXPLOSIONS
SEISMIC DETECTION
ELECTROMAGNETIC PULSES
ERRORS
INTEGRAL EQUATIONS
MATHEMATICS
NOISE
PARTIAL DIFFERENTIAL EQUATIONS
PROBES
SIGNALS
SPECTRAL DENSITY
VERIFICATION
DETECTION
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
EXPLOSIONS
FUNCTIONS
PULSES
RADIATIONS
SPECTRAL FUNCTIONS
450300* - Military Technology
Weaponry
& National Defense- Nuclear Explosion Detection
990200 - Mathematics & Computers