Table 1.

Estimated relaxation amplitudes $\Delta B$, relaxation times $t_{1/e}$ and fit parameters for double exponential fits (Equation (9)) to relaxation curves of liquid BNF MNP and Perimag${}^{\circledR }$ MNP. The values are extracted from FPGA data and from magnetic field readings obtained via Hilbert transform (HT).

Data	MNP	Dilution	Fe	$\mathsf{\Delta }\mathit{B}$	${\mathit{t}}_{1/\mathit{e}}$	${\mathit{B}}_1$	${\mathit{\tau }}_1$	${\mathit{B}}_2$	${\mathit{\tau }}_2$	O	R${}_{\mathbf{adj}}^2$
from	Type	Factor	($\mathsf{\mu }\mathbf{g}$)	($\mathbf{n}\mathbf{T}/\mathbf{c}\mathbf{m}$)	($\mathbf{m}\mathbf{s}$)	($\mathbf{n}\mathbf{T}/\mathbf{c}\mathbf{m}$)	($\mathbf{m}\mathbf{s}$)	$(\mathbf{n}\mathbf{T}/\mathbf{c}\mathbf{m}$)	($\mathbf{m}\mathbf{s}$)	($\mathbf{n}\mathbf{T}/\mathbf{c}\mathbf{m}$)
FPGA	BNF	1:1	1370	321.23	1.35	72.57	5.20	389.62	1.10	26.98	1.00
FPGA	BNF	1:2	685	189.21	0.84	45.51	3.51	290.86	0.70	10.71	1.00
FPGA	BNF	1:10	137	44.89	0.64	9.58	3.25	84.19	0.56	2.30	1.00
FPGA	BNF	1:20	68.5	14.44	0.62	3.19	3.05	27.90	0.54	1.23	1.00
FPGA	BNF	1:100	13.7	2.73	0.64	0.74	3.09	4.98	0.54	0.30	1.00
FPGA	BNF	1:200	6.85	1.40	0.72	0.23	4.39	2.48	0.64	0.12	1.00
FPGA	BNF	1:1000	1.37	0.28	0.75	0.05	8.62	0.49	0.65	0.01	1.00
HT	BNF	1:1	1370	265.18	0.18	298.19	1.94	1214.60	0.13	33.42	0.99
HT	BNF	1:2	685	164.52	0.35	120.89	1.86	457.98	0.25	12.00	1.00
HT	BNF	1:10	137	39.68	0.42	21.98	1.81	95.46	0.32	2.64	1.00
HT	BNF	1:20	68.5	12.77	0.42	7.00	1.78	31.17	0.32	1.41	0.99
HT	BNF	1:100	13.7	2.43	0.42	1.52	1.76	5.68	0.31	0.28	0.61
HT	BNF	1:200	6.85	1.25	0.42	0.65	1.92	3.05	0.33	0.10	0.31
FPGA	Perimag${}^{\circledR }$	1:1	850	132.99	1.43	66.40	4.88	128.91	0.81	30.72	1.00
FPGA	Perimag${}^{\circledR }$	1:10	85	16.07	1.08	6.86	4.74	19.18	0.70	3.28	1.00
HT	Perimag${}^{\circledR }$	1:1	850	124.23	0.73	54.94	4.97	191.99	0.49	30.78	1.00
HT	Perimag${}^{\circledR }$	1:10	85	14.96	0.69	9.06	3.56	22.24	0.40	3.44	0.99