Edgetech USBL BROADBAND ACOUSTIC TRACKING SYSTEM, User Hardware Manual, Page: 92 / 102

SECTION 5: OPERATION 5-2
BATS 0018257_REV_A
Transponder mode:
𝑆𝑆𝐻𝐻 = 𝑉𝑉
( 𝑇𝑇 − 𝐷𝐷 )
2
Equation 4
Responder mode:
SR = 𝑉𝑉 ( 𝑇𝑇 − 𝐷𝐷 )
Equation 5
Horizontal Range (HR) is calculated by one of three methods, depending on the calculated value of the
Depression Angle (
β
) from the horizontal and the depth MODE.
A. In CALCULATED depth MODE and when the target is within a 90-degree cone (value of ( β ) greater
than 45°), Horizontal Range (HR) is calculated by:
𝐻𝐻𝐻𝐻 = 𝑆𝑆𝐻𝐻 𝑐𝑐𝑐𝑐𝑠𝑠
β
Equation 6
A normal situation, where the target is within a 45-degree angle from the vertical axis of the hydrophone.
B.
In CALCULATED depth MODE and outside a 90° cone (values of (
β
) less than 45°), as the target
moves to positions which are between the hydrophone horizon and a 45° Depression Angle, the
measured accuracy degrades due to physical constraints of the measuring hydrophone. (As the
target approaches the horizon, the angle becomes unmeasurable.) In this situation, the input
target depth (Z) (manual, analog or telemetry) is used to calculate Horizontal Range by:
𝐻𝐻𝐻𝐻 = 𝑆𝑆𝐻𝐻 cos � sin
−1
�
𝑍𝑍
𝑆𝑆𝑆𝑆
��
Equation 7
C.
In INPUT depth MODE and when the target is within a 40° cone (value of (
β
) greater than 70°),
slight variations between the slant range and the input depth causes large horizontal position
differences. In this situation, the Horizontal Range is calculated by:
HR =
𝑍𝑍
tan
β
Equation 8
D. In INPUT depth MODE and when the target is outside the 40-degree cone (value of (
β
) less than
70°), the Horizontal Range is calculated by:
𝐻𝐻𝐻𝐻 = 𝑆𝑆𝐻𝐻 cos � sin
−1
�
𝑍𝑍
𝑆𝑆𝑆𝑆
��
Equation 9