Reduced-Precision Redundancy on FPGAs

Table 6

Number of SEUs causing each class of effect for an FIR filter protected with TMR and several levels of RPR using experimentally determined thresholds (𝑇^∗_ℎ), compared to the unmitigated filter.

Design	Slices used	Slices overhead	Class 1 bits	Class 2bits	Class 3bits	Class 4 bits	Total utilized bits	Total catastrophic (% reduction)	Improv. in failure rate
Unmitigated	1,030	—	59,156	6,472	1,501	943	68,072	2,444 (—%)	—
TMR	3,171	208%	218,304	0	0	2	218,306	2 (99.9%)	1222×
RPR, 𝐵𝑟=7	1,755	70.4%	106,863	6,191	11	2	113,067	13 (99.5%)	188×
RPR, 𝐵𝑟=6	1,602	55.5%	95,980	7,731	9	2	103,722	11 (99.6%)	222×
RPR, 𝐵𝑟=5	1,470	42.7%	84,583	7,709	42	2	92,336	44 (98.2%)	55.5×
RPR, 𝐵𝑟=4	1,394	35.3%	79,334	8,252	254	2	87,842	256 (89.5%)	9.55×
RPR, 𝐵𝑟=3	1,313	27.5%	74,129	8,267	634	36	83,066	670 (72.6%)	3.65×