]>Diophantine Frequency Synthesizer Design for Timekeeping Systems : Table 1
Table 1: Frequencies of the DFS example in Figure 2.
𝑓 o u t = 1 1 3 + 9 2 𝑓 i n + 𝑚 1 3 + 𝑚 2 2 𝑓 i n
𝑚 1 𝑚 2 𝑎 𝑓 o u t / 𝑓 i n = 1 1 3 + 9 2 + 𝑚 1 3 + 𝑚 2 2
−3 0−6 4 3 / 6 = 4 9 / 6 + − 6 / 6
−1−1−5 4 4 / 6 = 4 9 / 6 + − 5 / 6
−2 0−4 4 5 / 6 = 4 9 / 6 + − 4 / 6
0−1−3 4 6 / 6 = 4 9 / 6 + − 3 / 6
−1 0−2 4 7 / 6 = 4 9 / 6 + − 2 / 6
1−1−1 4 8 / 6 = 4 9 / 6 + − 1 / 6
0 0 0 4 9 / 6 = 4 9 / 6 + 0
−1 1 1 5 0 / 6 = 4 9 / 6 + 1 / 6
1 0 2 5 1 / 6 = 4 9 / 6 + 2 / 6
0 1 3 5 2 / 6 = 4 9 / 6 + 3 / 6
2 0 4 5 3 / 6 = 4 9 / 6 + 4 / 6
1 1 5 5 4 / 6 = 4 9 / 6 + 5 / 6
3 0 6 5 5 / 6 = 4 9 / 6 + 6 / 6