What kind of movements are there to be compensated?
Very important are hand movements. Neurological data show that even healthy people suffer from involuntarily hand movements. The frequency of those movements is about 25 Hz or lower.
Then there are movements of the complete upper body caused by the heartbeat. Those movements are very small, but can cause blur with long tele lenses since those lenses enlarge the effect of movements significantly. Heart beat at rest will be around 60-80 b/pm. More than 100 beats a minute is quite fast and should be avoided when taking pictures anyway. Furthermore there are other movements with a fairly low frequency, like the damped movement of the camera as a result of the mirror going up.
The reason I am giving so much attention to the amount of heart beats per second and the frequency of involuntarily hand movements, is that Hogan thinks the sample frequency (1/1000 Hz) plays a significant role when taking pictures with short shutter speeds.
His idea is that a system with a sample frequency of 1/1000 Hz, can only register movements with a frequency of less than 1/500 Hz due to Nyquist and so is not to be used with shorter shutter speeds. (The system might start to err with shorter shutter speeds, is the reasoning.) The mistake is of course, that the shutter speed is confused with the frequency of the movements. At 1/500s the frequency of the movements is not 500 Hz, it's still 100 Hz or less. The advantage of the faster shutter speed is simply that within that short period of time the movement of an object or of the camera might be so small that it is less than the resolution of the camera. The graph on the next page will show you how it works.