LOCATING OF A RADIATING SOURCE IN SPACE BY TIME DELAY MEASUREMENT AND IT'S ERROR ESTIMATION

In this paper a ground based array named crossbiline array for determination of the location of a radiating source in space is discribed.First,the location of radiating source can be represented by some different coordinates,either by Bq.(2) in rectangular coordinate x,y,z,or by Bq.(3) in range R,azimuth A,and elevation E,or by Eq.(1) in range R,relatively bearingis θ₁ and θ₂.Second,we derived the formulas (5)-(8) to determine the R,θ₁ and θ₂ based on time delay measurement between sensors of the array.The signal propagating velocity v can be eliminated by Eq.(9),so that the velocity uncertainty does not affect the estimates of R,θ₁ and θ₂.Finally' this paper gives a method to calculate the errors (这里有图片19820311-251-1.GIF) and bθ₂ in estimating (这里有图片19820311-251-2.GIF),(这里有图片19820311-251-3.GIF)₁ and (这里有图片19820311-251-3.GIF)₂ (Eq.(16) and (17)).Eq.(18) is a simple form for the case of equal distance array,L₁=L₂.It was pointed out that the errors of range estimates are proportional to the range itself,and the range is usually overestimated rather than underestimated.