EURASIP Journal on Advances in Signal Processing

Table 1 Comparison of ranges and range intervals for every variable of the three methods for case 1

From: A refined affine approximation method of multiplication for range analysis in word-length optimization

Variable	AATRE		AACHA		AASEE
	Range	Interval	Range	Interval	Range	Interval
y ₁	[0.1618,0.2168]	0.055	[0.1618,0.2168]	0.055	[0.1618,0.2168]	0.055
y ₂	[-0.4645,-0.2752]	0.1893	[-0.4645,-0.2890]	0.1755	[-0.4645,-0.2890]	0.1755
y ₃	[0.6120,1.0094]	0.3974	[0.6558,1.0025]	0.3467	[0.6929,1.0025]	0.3096
y	[-0.0541,0.8650]	0.9191	[-0.0253,0.7685]	0.7938	[-0.0068,0.7068]	0.7136

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