Results

Simulating the above in SPW yielded the results depicted in figure 8.22.

 

Figure 8.22:   TDEV resulting from noise produced by WGN shaped by Filter A

It can be seen that the noise shaped by filter A is producing TDEV at a constant level (as is indicative of flicker phase noise) of 1ns rather than the $\sqrt{f_0}=0.0022ns$ predicted by theory. This leads to the theory that

$$H_A(s)\approx\sqrt{\frac{2\pi}{s}}$$

i.e. the factor f₀ in equation (2.2) has been erroneously neglected in equation (2.1).