Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-30T23:37:20.007Z Has data issue: false hasContentIssue false
  • English
  • Français

Measuring the Velocity of a Signal

Published online by Cambridge University Press:  05 September 2017

E. J. Hannan
Get access Rights & Permissions [Opens in a new window]

Abstract

The problem considered is that of measuring the velocity of a signal, constituted by a plane wave, from measurements at a number of recorders receiving noise as well as signal. The asymptotic properties of the estimates are considered under rather general conditions on the noise and signal processes.

Type
Part VI — Statistical Inference on Stochastic Processes
Information
Journal of Applied Probability , Volume 12 , Issue S1 , 1975 , pp. 227 - 237
Copyright
Copyright © 1975 Applied Probability Trust 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Billingsley, P. (1965) Ergodic Theory and Information. John Wiley, New York.Google Scholar
[2] Fedor, L. S. (1967) A statistical approach to the determination of three dimensional ionospheric drifts. J. Geophys. Res. 72, 5401–5415.CrossRefGoogle Scholar
[3] Hamon, B. V. and Hannan, E. J. (1974) Spectral estimation of time delay for dispersive and nondispersive systems. Appl. Statist. 23, 134–142.CrossRefGoogle Scholar
[4] Hannan, E. J. (1973) Multivariate time series analysis. J. Multivariate Anal. 395–407.CrossRefGoogle Scholar
[5] Hannan, E. J. and Robinson, P. M. (1973) Lagged regression with unknown lags. J. Roy. Statist. Soc. B 35, 252–267.Google Scholar
[6] Hannan, E. J. and Thomson, P. J. (1973) Estimating group delay. Biometrika 60, 241–253.CrossRefGoogle Scholar
[7] Hinich, M. J. and Shaman, P. (1972) Parameter estimation from R-dimensional plane waves observed with additive independent Gaussian errors. Ann. Math. Statist. 43, 153–169.CrossRefGoogle Scholar
[8] Katznelson, Y. (1968) Harmonic Analysis. John Wiley, New York.Google Scholar
[9] Krause, D. J., Steadman, J. W. and Williams, T. W. (1972) Effect of record length on noise-induced error in the cross correlation estimate. IEEE Trans, on Systems, Man and Cybernetics, SMC–2, 255–261.CrossRefGoogle Scholar
[10] Munk, W. H., Miller, G. R., Snodgrass, F. E. and Barber, N. F. (1963) Directional recording of swell from dirt and storms. Phil. Trans. Roy. Soc. 255, 505–584.Google Scholar