Effects of Arrival Time Errors in Weighted Range Equation Solutions for Linear Base Sound Ranging.

摘要

Results of the research discussed in this report show that the errors in target location computed by the Weighted Range Equation Solution, when applied to a regular, linear, six-microphone array, are approximately proportional to the errors in arrival time, relative to the assumptions inherent in the solution model. For most target locations, microphones 2 and 5, in the six-microphone array, are relatively less influential in determining target location than are microphones 1, 3, 4, and 6. The transfer function between arrival time errors at one or more microphones is shown to be approximately linear and to possess the property of superposability; i.e., the combined effect of several errors in arrival time is approximately equal to the sum of the effects of each error taken as occurring alone. Several general properties of symmetry and antisymmetry are demonstrated. This report provides the basic vector error response of the Weighted Range Equation Solution for all areas in which the AN/TNS-10 Sound Ranging Set is effective. (Author)