1995
DOI: 10.1121/1.412172
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A simple relationship between frequency and range averages for broadband sonar

Abstract: All sonars have a bandwidth, and often the assumption of single frequency propagation will mislead the sonar designer. It is shown here theoretically, and by demonstration using SAFARI, that a frequency average can often be approximated closely by a variable width running range average in which the width or window size is proportional to range. In fact if the bandwidth is expressed as a fraction a of the center frequency one should use a range averaging width of a times the range. The limitations of such a sch… Show more

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Cited by 50 publications
(23 citation statements)
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“…The beam then interacts with the surface and bottom a few times before stripped away by the shoaling bathymetry. Note that the "intermediate modes" (10)(11)(12)(13)(14)(15)(16)(17)(18)(19) are not excited initially and, at this calm instant, mode couplings are activated primarily by the range-dependent bathymetry. The two relatively abrupt changes in the bathymetry, one close to the source and one at the shelfbreak, tend to transfer energy from higher to lower modes.…”
Section: Modeling Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The beam then interacts with the surface and bottom a few times before stripped away by the shoaling bathymetry. Note that the "intermediate modes" (10)(11)(12)(13)(14)(15)(16)(17)(18)(19) are not excited initially and, at this calm instant, mode couplings are activated primarily by the range-dependent bathymetry. The two relatively abrupt changes in the bathymetry, one close to the source and one at the shelfbreak, tend to transfer energy from higher to lower modes.…”
Section: Modeling Resultsmentioning
confidence: 99%
“…To quickly synthesize the effects of the signal bandwidth, the SIL displayed in Fig. 15 was computed from local range averages of the squared pressures modeled at the carrier frequency [15]. Similarly, these model results show that right before 08:00 (a period of calm), the acoustic energy is trapped in the lower layer (below 70 m), but right after the entrance of solitons, the infusions of low-and high-mode energy into the intermediate modes that span the entire water column begin.…”
Section: Modeling Resultsmentioning
confidence: 99%
“…In essence, the level of a broadband signal at a receiver can be viewed as if it were sampled at a number of points over some distance interval relative to its distance from the source. As stated by Harrison & Harrison (1995), a broadband signal of mean frequency (ƒ 0 ) and bandwidth (W) can be viewed as if its RL were sampled at a number of points over a distance interval (R INT ) relative to a distance (R 0 ) such that…”
mentioning
confidence: 99%
“…The images show power difference features over a broad range of scale lengths. Sometimes range-averaging algorithms are applied to fields, such as in Figures 1 and 2, to give results that are representative of what one would expect for a broadband acoustic signal (Harrison and Harrison 1995). Acoustic systems with broadfrequency bandwidth will show variation in the field spatial structure over the band, a fact that must be taken into account.…”
Section: Illustrative Example: Sound In Internal Tidal Wavesmentioning
confidence: 99%