Assessment of Homodyned K Distribution Modeling Ultrasonic Speckles from Scatterers with Varying Spatial Organizations

Table 1

The MSD of the estimated parameters and likelihood values based on BIC for simulated envelope data.

	α = 0.1		α = 1		α = 10		α = 100
	HK	OKRR	HK	OKRR	HK	OKRR	HK	OKRR
ρ = 1	LHK = 511 ± 18	LK = 513 ± 16	LHK = 220 ± 9	LK = 220 ± 12	LHK = 179 ± 7	LRA = 179 ± 7	LHK = 168 ± 12	LRA = 168 ± 12
	σ = 0.17 ± 0.04	m = 0.87 ± 0.03	σ = 0.26 ± 0.02	m = 1.92 ± 0.15	σ = 0.29 ± 0.03	d = 0.29 ± 0.02	σ = 0.30 ± 0.04	d = 0.30 ± 0.04
	c = 1.00 ± 0.00	a = 7.48 ± 0.75	c = 1.92 ± 0.65	a = 7.50 ± 0.52	c = 12.84 ± 9.85		c = 100.00 ± 0.00
	ε = 0.01 ± 0.00		ε = 0.01 ± 0.01		ε = 0.01 ± 0.01		ε = 0.01 ± 0.00
ρ = 5	LHK = 245 ± 57	LK = 239 ± 64	LHK = 240 ± 25	LRA = 241 ± 23	LHK = 232 ± 26	LRI = 228 ± 32	LHK = 298 ± 30	LRI = 297 ± 30
	σ = 0.21 ± 0.03	m = 2.14 ± 0.23	σ = 0.16 ± 0.00	d = 0.31 ± 0.04	σ = 0.16 ± 0.00	l = 0.54 ± 0.06	σ = 0.13 ± 0.01	l = 0.52 ± 0.03
	c = 1.25 ± 0.32	a = 9.25 ± 0.32	c = 5.61 ± 2.68		c = 5.69 ± 3.54		c = 6.38 ± 2.64
	ε = 0.10 ± 0.05		ε = 0.36 ± 0.02		ε = 0.54 ± 0.02		ε = 0.52 ± 0.041
ρ = 10	LHK = 259 ± 38	LK = 259 ± 40	LHK = 268 ± 31	LRI = 267 ± 31	LHK = 409 ± 49	LRI = 409 ± 49	LHK = 411 ± 21	LRI = 410 ± 20
	σ = 0.20 ± 0.01	m = 5.41 ± 0.27	σ = 0.14 ± 0.00	l = 0.53 ± 0.09	σ = 0.11 ± 0.03	l = 0.60 ± 0.00	σ = 0.11 ± 0.01	l = 0.69 ± 0.05
	c = 2.55 ± 0.54	a = 14.89 ± 1.02	c = 6.70 ± 4.52		c = 40.26 ± 31.81		c = 14.02 ± 3.57
	ε = 0.14 ± 0.04		ε = 0.53 ± 0.02		ε = 0.60 ± 0.02		ε = 0.69 ± 0.01
ρ = 50	LHK = 159 ± 17	LRA = 157 ± 18	LHK = 504 ± 29	LRI = 501 ± 27	LHK = 149 ± 20	LK = 149 ± 18	LHK = 449 ± 30	LK = 421 ± 29
	σ = 0.25 ± 0.04	d = 0.25 ± 0.02	σ = 0.15 ± 0.02	l = 0.33 ± 0.05	σ = 0.26 ± 0.03	m = 2.52 ± 0.15	σ = 0.16 ± 0.01	m = 2.14 ± 0.03
	c = 6.82 ± 2.68		c = 6.82 ± 1.45		c = 2.51 ± 0.76	a = 8.77 ± 0.24	c = 1.10 ± 0.07	a = 11.46 ± 1.25
	ε = 0.01 ± 0.01		ε = 0.33 ± 0.01		ε = 0.01 ± 0.00		ε = 0.11 ± 0.05
ρ = 100	LHK = 96 ± 9	LRA = 95 ± 6	LHK = 138 ± 22	LRA = 136 ± 24	LHK = 169 ± 21	LK = 168 ± 12	LHK = 198 ± 32	LK = 195 ± 24
	σ = 0.26 ± 0.03	d = 0.31 ± 0.09	σ = 0.23 ± 0.04	d = 0.30 ± 0.02	σ = 0.24 ± 0.02	m = 1.74 ± 0.03	σ = 0.20 ± 0.03	m = 1.37 ± 0.07
	c = 100 ± 0.00		c = 3.08 ± 1.42		c = 1.27 ± 0.28	a = 7.57 ± 0.83	c = 1.10 ± 0.12	a = 7.89 ± 0.75
	ε = 0.24 ± 0.09		ε = 0.27 ± 0.40		ε = 0.10 ± 0.04		ε = 0.09 ± 0.01

Section I; Section II; Section III; Section IV.