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Analysis and Ranking of the Acoustic Disturbance Potential of ...

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Report No. 6945<br />

BBN Systems <strong>and</strong> Technologies Corporatiop<br />

Critical ratios tend to increase with increasing frequency. In <strong>the</strong><br />

bottlenose dolphin, a pure tone signal at 6 kHz must exceed spectrum level<br />

noise by 22 dB to be detected, whereas a 70 kHz tone must exceed spectrum level<br />

noise by about 40 dB (Fig. 2.28). Critical ratios for <strong>the</strong> bottlenose dolphin<br />

have not been measured below 5 kHz. Burdin et al. (1973a) obtained some evidence<br />

that, at 1-10 kHz, critical ratios <strong>of</strong> dolphins are lower (better) than those <strong>of</strong> a<br />

human. Below 1 kHz though, <strong>the</strong> frequency discrimination abilities <strong>of</strong> <strong>the</strong> dolphin<br />

deteriorate rapidly (Thompson <strong>and</strong> Herman 1975), <strong>and</strong> bottlenose dolphin critical<br />

ratios mdy not closely resemble those <strong>of</strong> humans at low frequencies.<br />

The critical ratios <strong>of</strong> <strong>the</strong> nor<strong>the</strong>rn fur seal range from a low <strong>of</strong> 19 dB at 4<br />

kHz to 27 dB at 32 kHz (Moore <strong>and</strong> Schusterman 1987). These values are a few<br />

decibels lower than <strong>the</strong> critical ratios <strong>of</strong> <strong>the</strong> bottlenose dolphin at<br />

corresponding frequencies (Fig. 2.28). In contrast, <strong>the</strong> ringed seal has critical<br />

ratios about 10 dB higher than those <strong>of</strong> <strong>the</strong> fur seal <strong>and</strong> several dB above <strong>the</strong><br />

dolphin through <strong>the</strong> same frequency range (Terhune <strong>and</strong> Ronald 1975b; Fig. 2.28).<br />

However, Moore <strong>and</strong> Schusterman (1987) suggest that <strong>the</strong> ringed seal values are<br />

suspiciously high, <strong>and</strong> may be artefactual.<br />

Critical ratios are not greatly different for underwater <strong>and</strong> aerial hearing,<br />

or across a wide range <strong>of</strong> vertebrates (Fig. 2.28, Moore <strong>and</strong> Schusterman 1987).<br />

The dolphin, fur seal <strong>and</strong> ringed seal data quoted above all represent underwater<br />

hearing. In-air critical ratios have been determined for <strong>the</strong> harp seal (Terhune<br />

<strong>and</strong> Ronald 1971) <strong>and</strong> <strong>the</strong> harbor seal (Renouf 1980). The validity <strong>of</strong> <strong>the</strong> harp seal<br />

data, at least for frequencies up to 8 kHz, has been questioned (Moore <strong>and</strong><br />

Schusterman 1987). The in-air critical ratios for <strong>the</strong> harbor seal are generally<br />

consistent with <strong>the</strong> underwater values for <strong>the</strong> fur seal <strong>and</strong> bottlenose dolphin<br />

(Fig. 2.28).<br />

Masking B<strong>and</strong>s. A pure tone is masked almost exclusively by noise at<br />

frequencies near <strong>the</strong> frequency <strong>of</strong> <strong>the</strong> tone. Noise at frequencies outside <strong>of</strong> this<br />

masking b<strong>and</strong> has little influence on detection <strong>of</strong> <strong>the</strong> signal. The determination<br />

<strong>of</strong> <strong>the</strong> width <strong>of</strong> <strong>the</strong> masking b<strong>and</strong> has been <strong>the</strong> subject <strong>of</strong> much effort. Fletcher<br />

(1940) proposed one method, based on <strong>the</strong> assumption that signal power must equal<br />

total noise power in <strong>the</strong> masking b<strong>and</strong> in order to be audible. Since <strong>the</strong> spectrum<br />

level intensities <strong>of</strong> masking noise [dB re ( 1 ~P~)~/HZ] <strong>and</strong> <strong>the</strong> intensities <strong>of</strong><br />

tones (dB re 1 pPa) are not compatible units, <strong>the</strong> spectrum level <strong>of</strong> <strong>the</strong> masking<br />

noise must be converted to a b<strong>and</strong> level. The white noise <strong>of</strong>ten used in masking<br />

experiments has a flat spectrum, <strong>and</strong> <strong>the</strong>refore <strong>the</strong> energy in a masking b<strong>and</strong> <strong>of</strong><br />

no.ise is proportional to <strong>the</strong> masking b<strong>and</strong>width in Hz. B<strong>and</strong> level is computed<br />

from spectrum level by <strong>the</strong> formula<br />

BL = SL + 10 log BW (1<br />

where BL represents b<strong>and</strong> level, SL represents spectrum level, <strong>and</strong> BW equals <strong>the</strong><br />

b<strong>and</strong>width in Hz (Urick 1983). If it is assumed that signal power must equal or<br />

exceed noise power in <strong>the</strong> masking b<strong>and</strong> in order to be detectable (Fletcher 1940),<br />

<strong>the</strong>n <strong>the</strong> masking b<strong>and</strong>width is<br />

BW = antilog CR/10 (2)

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