Navigation transponder survey: Design and analysis

Smith, Woollcott; Marquet, William M.; Hunt, M.

doi:10.1109/oceans.1975.1154071

Cited by 11 publications

(5 citation statements)

References 5 publications

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“…Position determination of marine control points, including performance analysis of acoustic navigation systems and net-unit configurations, is under extensive study by marine technologists (Knowles and Roy, 1972;Saxena, 1975;Durham et al, 1975;Yamazaki, 1975aYamazaki, , 1975bSmith et al, 1975;Spindel et al, 1975;Saxena et al, 1976 and1981). The typical high-resolution acoustic navigation technique considered here is a pulse positioning system (PPS).…”

Section: The Normal Pyramidmentioning

confidence: 99%

“…These basic mathematical models are solved through trigonometric computations based on an event (Reilly et al, 1972) in inverted and/or normal pyramid mode. The geometry of solution is stronger for an event that includes more than four satellites or transponder stations (Blaha, 1971a;Escobaletal., 1973;Smith et al, 1975;Saxena, 1975). The optimal survey pattern for the normal pyramid will change with the water depth relative to transponder station chords (Smith et al, 1975).…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The geometry of solution is stronger for an event that includes more than four satellites or transponder stations (Blaha, 1971a;Escobaletal., 1973;Smith et al, 1975;Saxena, 1975). The optimal survey pattern for the normal pyramid will change with the water depth relative to transponder station chords (Smith et al, 1975). As the system extends with the increase of "/," "y," and/or "m," the model [Equations (2) and (3)] becomes overdetermined, and the unknown transponder position parameters are then recovered through a least-squares adjustment.…”

Section: Mathematical Modelmentioning

confidence: 99%

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Ocean bottom control using the global positioning system

Kumar

Saxena

1985

Marine Geodesy

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One of the most fundamental challenges of working in the ocean environment is the establishment of a geodetic control system, similar to the more familiar geodetic networks on the earth's land areas. Applications of ocean bottom control network, which are well-identified by the marine community, are numerous. The NAVSTAR constellation of the Global Positioning System (GPS) provides a unique capability. The expected visibility of its four to seven satellites anywhere anytime on the earth's surface will enable instantaneous real-time positioning of a buoy, thus eliminating complex mathematical modeling of its motion. This buoy can simultaneously be triggered to measure ranges to a network of ocean bottom transponders through acoustic link, thus replacing the conventional expensive use of a ship. The concept takes advantage of a double pyramid formed between GPS satellites and the transponders linked via buoy. The measured ranges, solved in the geometric mode through the least squares method, will thus provide geodetic positions of transponders.

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Section: The Normal Pyramidmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

See 1 more Smart Citation

Ocean bottom control using the global positioning system

Kumar

Saxena

1985

Marine Geodesy

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show abstract

“…Position determination of marine control points including performance analysis of acoustic navigation systems and net-unit configurations is under extensive study with the marine technologists (Knowles and Roy, 1972;Saxena, 1975;Durham et al, 1975;Yamazaki, 1975;Smith et al, 1975;Spindel et al, 1975;Saxena, 1976 and1981). The typical high resolution acoustic navigation technique considered here is a pulse positioning system (PPS).…”

Section: The Normal Yramidmentioning

confidence: 99%

“…These basic mathematical models are solved through trigonometric computations based on an event (Reilly et al, 1972), in inverted and/or normal pyramid mode. The geometry of solution is stronger for an event which includes more than four satellites or transponder stations (Blaha, 1971a;Escobal et al, 1973;Smith et al, 1975;Saxena, 1976) and the optimal survey pattern for the normal pyramid will change with the water depth relative to station chords (Smith et al, 1975). As the system extends with the increase of "i", "j", and/or "m", the model (equations (2) and (3)) becomes overdetermined and the unknown transponder position parameters are then recovered through a least squares adjustment.…”

Section: Ma'mmwtcal Wdmentioning

confidence: 99%