Table 1.

Mean ($\mu$) and standard deviation ($\sigma$) of point estimates, mean squared error (MSE), the percent bias (Pct Bias) and the percent convergence (Pct Cvrg) for $\eta$ and $\zeta$ for both 2nd and 4th order LDEs over all simulated conditions where the convolution kernel covered 1/2 a cycle of the simulated DLO (i.e., the embedding dimension was 1/2 the number of samples per cycle).

Simulation				MODEL A				MODEL B
				Est		Pct	Pct	Est		Pct	Pct
	N	SNR	Sim	$\mu$($\sigma$)	MSE	Bias	Cvrg	$\mu$($\sigma$)	MSE	Bias	Cvrg
$\eta$	50	1	−0.5	−0.425(0.095)	0.015	−14.9	96.6	−0.495(0.107)	0.012	−1.0	95.2
$\zeta$			−0.1	−0.088(0.070)	0.005	−12.3		−0.089(0.080)	0.007	−11.0
$\eta$	100	1	−0.5	−0.428(0.015)	0.005	−14.3	99.6	−0.507(0.023)	0.001	1.4	98.0
$\zeta$			−0.1	−0.093(0.031)	0.001	−7.1		−0.102(0.035)	0.001	2.2
$\eta$	300	1	−0.5	−0.427(0.009)	0.005	−14.7	99.1	−0.504(0.014)	0.000	0.9	96.9
$\zeta$			−0.1	−0.093(0.016)	0.000	−7.2		−0.102(0.018)	0.000	2.4
$\eta$	50	2	−0.5	−0.421(0.042)	0.008	−15.7	95.5	−0.484(0.052)	0.003	−3.1	96.0
$\zeta$			−0.1	−0.092(0.033)	0.001	−8.0		−0.092(0.040)	0.002	−7.8
$\eta$	100	2	−0.5	−0.427(0.008)	0.005	−14.6	95.6	−0.503(0.011)	0.000	0.6	92.4
$\zeta$			−0.1	−0.092(0.015)	0.000	−8.0		−0.101(0.017)	0.000	1.5
$\eta$	300	2	−0.5	−0.425(0.004)	0.006	−14.9	75.8	−0.502(0.006)	0.000	0.4	93.3
$\zeta$			−0.1	−0.091(0.008)	0.000	−8.6		−0.101(0.009)	0.000	1.4
$\eta$	50	4	−0.5	−0.416(0.021)	0.008	−16.9	42.2	−0.480(0.027)	0.001	−4.1	94.6
$\zeta$			−0.1	−0.089(0.017)	0.000	−10.6		−0.092(0.020)	0.000	−7.7
$\eta$	100	4	−0.5	−0.426(0.004)	0.005	−14.8	51.0	−0.502(0.006)	0.000	0.5	85.3
$\zeta$			−0.1	−0.092(0.008)	0.000	−7.9		−0.102(0.008)	0.000	2.0
$\eta$	300	4	−0.5	−0.427(0.009)	0.005	−14.5	98.8	−0.505(0.014)	0.000	1.1	96.4
$\zeta$			−0.1	−0.093(0.016)	0.000	−7.0		−0.103(0.018)	0.000	2.8
$\eta$	50	1	−0.5	−0.418(0.085)	0.014	−16.5	98.0	−0.493(0.105)	0.011	−1.3	95.6
$\zeta$			−0.3	−0.276(0.082)	0.007	−8.1		−0.297(0.104)	0.011	−1.0
$\eta$	100	1	−0.5	−0.424(0.021)	0.006	−15.2	99.5	−0.508(0.030)	0.001	1.5	97.8
$\zeta$			−0.3	−0.273(0.031)	0.002	−8.9		−0.303(0.036)	0.001	0.9
$\eta$	300	1	−0.5	−0.424(0.020)	0.006	−15.1	99.7	−0.508(0.029)	0.001	1.6	97.6
$\zeta$			−0.3	−0.273(0.030)	0.002	−9.0		−0.303(0.034)	0.001	1.0
$\eta$	50	2	−0.5	−0.414(0.040)	0.009	−17.1	94.1	−0.485(0.051)	0.003	−2.9	96.5
$\zeta$			−0.3	−0.273(0.039)	0.002	−9.0		−0.294(0.050)	0.003	−2.1
$\eta$	100	2	−0.5	−0.422(0.011)	0.006	−15.5	96.0	−0.503(0.015)	0.000	0.6	94.1
$\zeta$			−0.3	−0.273(0.016)	0.001	−8.9		−0.304(0.019)	0.000	1.3
$\eta$	300	2	−0.5	−0.423(0.014)	0.006	−15.3	66.9	−0.506(0.020)	0.000	1.3	72.1
$\zeta$			−0.3	−0.274(0.021)	0.001	−8.7		−0.304(0.024)	0.001	1.5
$\eta$	50	4	−0.5	−0.410(0.019)	0.008	−18.0	24.5	−0.484(0.025)	0.001	−3.2	92.5
$\zeta$			−0.3	−0.271(0.019)	0.001	−9.6		−0.294(0.025)	0.001	−1.9
$\eta$	100	4	−0.5	−0.421(0.005)	0.006	−15.8	63.4	−0.501(0.008)	0.000	0.1	86.3
$\zeta$			−0.3	−0.274(0.008)	0.001	−8.6		−0.305(0.009)	0.000	1.7
$\eta$	300	4	−0.5	−0.421(0.005)	0.006	−15.9	27.3	−0.502(0.007)	0.000	0.4	31.1
$\zeta$			−0.3	−0.274(0.007)	0.001	−8.8		−0.305(0.009)	0.000	1.6