Optimization and Implementation of Scaling-Free CORDIC-Based Direct Digital Frequency Synthesizer for Body Care Area Network Systems

Table 2

Control signals of the output stage.

MSB’s of 𝜙	𝜙	𝑥𝑖𝑛𝑣	𝑦𝑖𝑛𝑣	𝑠𝑤𝑎𝑝	cos2𝜋𝜙	sin2𝜋𝜙
0 0 0	𝜋0<2𝜋𝜙<4	0	0	0	cos𝜃	sin𝜃
0 0 1	𝜋4𝜋<2𝜋𝜙<2	0	0	1	sin𝜃	cos𝜃
0 1 0	𝜋2<2𝜋𝜙<3𝜋4	0	1	1	−sin𝜃	cos𝜃
0 1 1	3𝜋4<2𝜋𝜙<𝜋	1	0	0	−cos𝜃	sin𝜃
1 0 0	−𝜋<2𝜋𝜙<−3𝜋4	1	1	0	−cos𝜃	−sin𝜃
1 0 1	−3𝜋4𝜋<2𝜋𝜙<−2	1	1	1	−sin𝜃	−cos𝜃
1 1 0	−𝜋2𝜋<2𝜋𝜙<−4	1	0	1	sin𝜃	−cos𝜃
1 1 1	−𝜋4<2𝜋𝜙<0	0	1	0	cos 𝜃	−sin𝜃