Bounded model checking for fixed-point digital filters

Journal of the Brazilian Computer Society

Table 4 Summary of results for the tested IIR filters

#	Filter	Type	Overflow		Limit cycle		Timing		Error
			Result	Time	Result	Time	Result	Time	Result	Time
1	LP-IIR	DFI	FALSE	3	FALSE	8	TRUE	1	TRUE	6
		DFII	FALSE	2	FALSE	13	TRUE	<1	TRUE	4
		TDFII	FALSE	2	FALSE	8	TRUE	<1	TRUE	4
2	LP-Butterworth-IIR	DFI	FALSE	2	TRUE	417	FALSE	<1	TRUE	31
		DFII	FALSE	1	TRUE	709	FALSE	1	FALSE	5
		TDFII	TRUE	30	FALSE	447	FALSE	<1	TRUE	32
3	LP-IIR	DFI	TRUE	10	FALSE	21	TRUE	<1	TRUE	14
		DFII	TRUE	12	FALSE	55	TRUE	1	TRUE	10
		TDFII	TRUE	39	FALSE	135	TRUE	<1	TRUE	12
4	LP-IIR	DFI	TRUE	4	TRUE	88	TRUE	<1	TRUE	11
		DFII	TRUE	5	TRUE	106	TRUE	<1	TRUE	9
		TDFII	TRUE	11	FALSE	101	TRUE	<1	TRUE	10
5	HP-ChebyshevI-IIR	DFI	TRUE	10	TRUE	941	FALSE	<1	TRUE	48
		DFII	TRUE	27	TRUE	1776	FALSE	1	TRUE	57
		TDFII	TRUE	14	FALSE	331	FALSE	<1	TRUE	49
6	BP-Elliptic-IIR	DFI	TRUE	9	FALSE	37	FALSE	1	TRUE	53
		DFII	FALSE	2	FALSE	70	FALSE	<1	FALSE	16
		TDFII	TRUE	11	FALSE	105	FALSE	1	TRUE	46
7	BS-Butterworth-IIR	DFI	FALSE	3	FALSE	437	FALSE	<1	FALSE	17
		DFII	FALSE	2	FALSE	112	FALSE	<1	FALSE	11
		TDFII	TRUE	117	FALSE	321	FALSE	<1	TRUE	73
8	BP-Elliptic-IIR	DFI	FALSE	3	TRUE	8	FALSE	1	FALSE	168
		DFII	FALSE	2	TRUE	14	FALSE	1	FALSE	79
		TDFII	FALSE	2	TRUE	12	FALSE	<1	FALSE	147
9	HP-Butterworth-IIR	DFI	FALSE	15	FALSE	1060	FALSE	1	FALSE	125
		DFII	FALSE	4	FALSE	1506	FALSE	1	FALSE	145
		TDFII	Timeout	3600	FALSE	1485	FALSE	<1	Timeout	3600
10	BP-ChebyshevI-IIR	DFI	TRUE	96	Timeout	3600	FALSE	1	FALSE	255
		DFII	FALSE	11	FALSE	2395	FALSE	1	FALSE	106
		TDFII	TRUE	139	FALSE	2092	FALSE	<1	FALSE	238
11	HP-Elliptic-IIR	DFI	FALSE	12	Timeout	3600	FALSE	1	Timeout	3600
		DFII	FALSE	4	Timeout	3600	FALSE	1	Timeout	3600
		TDFII	FALSE	5	Timeout	3600	FALSE	1	Timeout	3600