The transfer of acoustic information can be represented as consisting of three parts: the source, the medium, and the receiver. The transmitted information (signal) arrives at the receiver distorted by the medium and corrupted by noise. Thus, even when the signal is deterministic in nature, a complete description of the received signal must be a statistical one. That is to say, any processing carried out on the received energy must contain the best characterization of the distortion by the medium and corruption by the noise that is available, and this can only be done in terms of statistics.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. M. Kay, Fundamentals of Statistical Signal Processing; Vol II, Detection Theory, Prentice-Hall, New Jersey, 1998.
L. L. Scharf, Statistical Signal Processing; Detection, Estimation, and Time Series Analysis, Prentice-Hall, New Jersey, 1993.
G. E. P. Box and G. M. Jenkins, Time Series Analysis: Forecasting and Control, Holden-Day, San Francisco, 1970.
E. J. Sullivan and David Middleton, “Estimation and detection issues in matched-field processing,” J. Oceanic Eng., 18, 3, July 1993.
A. B. Baggeroer, W. A. Kuperman and H. Schmidt, “Matched-field processing: Source localization in correlated noise as an optimum parameter estimation problem,” J. Acoust. Soc. Am., 83, 2, 571–587, 1988.
J. V. Candy, Signal Processing:The Model-Based Approach, McGraw-Hill International Editions, 1986.
J. V. Candy, Model-Based Signal Processing, John Wiley & Sons, 2006.
E. H. Moore, “On the reciprocal of the general algebraic matrix,” Bull. Am. Math. Soc., 26, 394–395 1920.
R. Penrose, “A Generalized Inverse for Matrices,” Proc. Cambridge Phil. Soc., 51, 406-413, 1955.
S. M. Kay, Fundamentals of Statistical Signal Processing; Estimation Theory, Addison-Wesley, 1991.
R. E. Kalman, “A new approach to linear filtering and prediction problems,” J. Basic Eng., 82, 1960.
V. J. Aidala and S. M. Hammel, “Utilization of modified polar coordinates for bearingd-only tracking,” IEEE Trans. Autom. Contr., 28, 283–294, 1983.
A. Tolstoy, Matched Field Processing for Underwater Acoustics, World Scientific, 1991.
Y. Bar-Shalom and X. Li, Estimation and Tracking: Principles, Techniques and Software, Norwood MA: Artech House, 1993.
R. J. Urick, Principles of Underwater Sound in the Sea, McGraw-Hill, New York, 1975.
B. Maranda, “Efficient digital beamforming in the frequency domain,” J. Acoust. Soc. Am., 86 (5), 1989.
W. S. Burdic, Underwater Acoustic Systems Analysis, Prentice Hall, New Jersey, 1991.
T. T. Taylor, “Design of line source antennas for narrow beamwidth and low side lobes,” IRE Trans., AP-3,1955.
J. Capon, R. J. Greenfield and R. J. Kolker, “Multidimensional maximum-likelihood processing of a large aperture seismic array,” Proc. IEEE, 55 (2), 1967.
R. A. Monzingo and T. W. Miller, Introduction to Adaptive Arrays, John Wiley, New York, 1980.
H. L. van Trees, Optimum Array Processing, John Wiley, New York, 2002.
P. W. Zehna, “Invariance of maximum likelihood estimators,” Ann. Math. Stat., 37 (3), 1, 1966.
E. J. Sullivan, “The Sidelobe Behavior of Conformal Arrays”, J. Acoust. Soc. of Am., 71 (2), February, 1982.
E. J. Sullivan, “Amplitude Shading of Irregular Acoustic Arrays”, J. Acoust. Soc. of Am., 63 (6), June, 1978.
J. G. Kelly, E. J. Sullivan and J. Salisbury, Comments on “Conformal Array Beam Patterns and Directivity Indices” [J. Acoustical Society of America, 63, 841–847 (1978)] J. Acoust. Soc. of Am., 65, (2), February, 1979.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Sullivan, E.J. (2008). Statistical Signal Processing. In: Havelock, D., Kuwano, S., Vorländer, M. (eds) Handbook of Signal Processing in Acoustics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-30441-0_94
Download citation
DOI: https://doi.org/10.1007/978-0-387-30441-0_94
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-77698-9
Online ISBN: 978-0-387-30441-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)