Table 2.

Velocity to Barcodes using different methods.

Tag	Relative	Barcode	Barcode	$v_D$	$v_{\mathit{tof}}$	$v_{\mathit{chain}}$	Barcode	Barcode	Barcode
Label	Position	Dwell	Tof	(${10}^{-1}$)	(${10}^{-1}$)	$\simeq {\overline{v}}_{\mathit{scan}}({10}^{-1})$	Method I	Method II	Method II
Figure 2	Exact	Eq. (7)	Eq. (6c)	Eq. (3c)	Eq. (4c)	Eq. (10)	Dwell/Tof	Dwell	Tof
$T_1$	− 460	$-486\pm 124$	$-407\pm 45$	$2.59\pm 0.87$	$2.21\pm 0.34$	$2.37\pm 0.16$	$-459\pm 17$	$-461\pm 27$	$-461\pm 27$
$T_2$	− 245	$-251\pm 64$	$-203\pm 25$	$2.32\pm 0.83$	$1.92\pm 0.30$		$-248\pm 16$	$-249\pm 19$	$-248\pm 19$
$T_3$	− 235	$-237\pm 60$	$-191\pm 24$	$2.31\pm 0.75$	$1.87\pm 0.27$		$-236\pm 16$	$-237\pm 18$	$-237\pm 18$
$T_4$	− 215	$-219\pm 57$	$-177\pm 22$	$2.37\pm 0.83$	$1.94\pm 0.28$		$-213\pm 16$	$-214\pm 17$	$-214\pm 17$
$T_5$	0	0	0	$2.51\pm 0.90$	$2.00\pm 0.28$		0	0	0
$T_6$	11	$12\pm 3$	$10\pm 1$	$2.55\pm 0.87$	$2.00\pm 0.29$		$12\pm 2$	$11\pm 2$	$10\pm 2$
$T_7$	82	$93\pm 23$	$77\pm 7$	$2.63\pm 0.93$	$2.19\pm 0.35$		$87\pm 10$	$87\pm 11$	$87\pm 11$
$T_8$	287	$304\pm 72$	$254\pm 26$	$2.62\pm 0.91$	$2.23\pm 0.31$		$287\pm 17$	$287\pm 27$	$287\pm 26$