VLSI Design

Research Article

Parallel Jacobi EVD Methods on Integrated Circuits

Table 1

The lookup table for -rotations CORDIC with 32-bit accuracy, showing the rotation type, the angle, the required shift-add operations for rotation and scaling, the required cycle delay, and repeat number for CORDIC-6.


Index	Type	Angle	Shift-add		Cycle
	Type		rot.	sca.	cnt.	re.

1	IV	1.49070	4	8	6	1
2	IV	0.54296	4	6	5	1
3	IV	0.25501	4	6	5	1
4	IV	0.12561	4	4	4	1

5	III	6.25841 10⁻²	6	0	3	2
6	III	3.12606 10⁻²	6	0	3	2
7	III	1.56263 10⁻²	6	0	3	2

8	II	7.81266 10⁻³	4	0	2	3
9	II	3.90627 10⁻³	4	0	2	3
10	II	1.95313 10⁻³	4	0	2	3
11	II	9.76563 10⁻⁴	4	0	2	3
12	II	4.88281 10⁻⁴	4	0	2	3
13	II	2.44141 10⁻⁴	4	0	2	3
14	II	1.22070 10⁻⁴	4	0	2	4
15	II	6.10352 10⁻⁵	4	0	2	5

16	I	3.05176 10⁻⁵	2	0	1	6
17	I	1.52588 10⁻⁵	2	0	1	6
18	I	7.62939 10⁻⁶	2	0	1	6
19	I	3.81470 10⁻⁶	2	0	1	6
20	I	1.90735 10⁻⁶	2	0	1	6
21	I	9.53674 10⁻⁷	2	0	1	6
22	I	4.76837 10⁻⁷	2	0	1	6
23	I	2.38419 10⁻⁷	2	0	1	6
24	I	1.19209 10⁻⁷	2	0	1	6
25	I	5.96046 10⁻⁸	2	0	1	6
26	I	2.98023 10⁻⁸	2	0	1	6
27	I	1.49012 10⁻⁸	2	0	1	6
28	I	7.45058 10⁻⁹	2	0	1	5
29	I	3.72529 10⁻⁹	2	0	1	4
30	I	1.86265 10⁻⁹	2	0	1	3
31	I	9.31323 10⁻¹⁰	2	0	1	2
32	I	4.65661 10⁻¹⁰	2	0	1	1