PMID- 23862782
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20131022
LR  - 20130718
IS  - 1520-8524 (Electronic)
IS  - 0001-4966 (Linking)
VI  - 134
IP  - 1
DP  - 2013 Jul
TI  - Empirical and quadrature approximation of acoustic field and array response 
      probability density functions.
PG  - 29-39
LID - 10.1121/1.4809652 [doi]
AB  - Numerical methods are presented for approximating the probability density 
      functions (pdf's) of acoustic fields and receiver-array responses induced by a 
      given joint pdf of a set of acoustic environmental parameters. An approximation 
      to the characteristic function of the random acoustic field (the inverse Fourier 
      transform of the field pdf) is first obtained either by construction of the 
      empirical characteristic function (ECF) from a random sample of the acoustic 
      parameters, or by application of generalized Gaussian quadrature to approximate 
      the integral defining the characteristic function. The Fourier transform is then 
      applied to obtain an approximation of the pdf by a continuous function of the 
      field variables. Application of both the ECF and generalized Gaussian quadrature 
      is demonstrated in an example of a shallow-water ocean waveguide with 
      two-dimensional uncertainty of sound speed and attenuation coefficient in the 
      ocean bottom. Both approximations lead to a smoother estimate of the field pdf 
      than that provided by a histogram, with generalized Gaussian quadrature providing 
      a smoother estimate at the tails of the pdf. Potential applications to acoustic 
      system performance quantification and to nonparametric acoustic signal processing 
      are discussed.
FAU - Hayward, Thomas J
AU  - Hayward TJ
AD  - Naval Research Laboratory, Washington, DC 20375, USA.
FAU - Oba, Roger M
AU  - Oba RM
LA  - eng
PT  - Journal Article
PT  - Research Support, U.S. Gov't, Non-P.H.S.
PL  - United States
TA  - J Acoust Soc Am
JT  - The Journal of the Acoustical Society of America
JID - 7503051
EDAT- 2013/07/19 06:00
MHDA- 2013/07/19 06:01
CRDT- 2013/07/19 06:00
PHST- 2013/07/19 06:00 [entrez]
PHST- 2013/07/19 06:00 [pubmed]
PHST- 2013/07/19 06:01 [medline]
AID - 10.1121/1.4809652 [doi]
PST - ppublish
SO  - J Acoust Soc Am. 2013 Jul;134(1):29-39. doi: 10.1121/1.4809652.