Prediction of performance for ordinary and higher order correlation detection of prefiltered transients

• Published in: The Journal of the Acoustical Society of America 2003-10, Vol.114 (4_Supplement), p.2406-2406
• Main Authors: Dean, Marcella E., Ioup, George E., Ioup, Juliette W., Pflug, Lisa A.
• Format: Article
• Language: English
• ISSN: 0001-4966; 1520-8524
• DOI: 10.1121/1.1634082

It has been shown by simulations that bandpass filtering can give significant detection gains [Pflug et al., J. Acoust. Soc. Am. 95, 1459–1473 (1994) and M. E. Dean, Ph.D. dissertation, 2003]. Prediction formulas have been derived for known and unknown transient source detection at the minimum detectable level by Pflug et al. [J. Acoust. Soc. Am. 98, 248–260 (1995); 103, 2469–2477 (1998)]. These results have been extended by the derivation of formulas which predict performance for prefiltered signals. The main advantage of prefiltering is noise cancellation, which increases with the order of the correlation and which is represented in the prediction formulas as increasing powers of the ratio of the bandpass filter width to the foldover frequency. Signal moments are also modified by prefiltering. The prediction formulas are tested by comparison with previously given simulation results, in which signal-to-noise ratio values at the minimum detectable level are found using hypothesis testing and Monte Carlo computer simulations. [Research supported by ONR.]