# Product How-To: Disciplining a precision clock to GPS

Precision timing is an essential component of modern communications and navigation systems. While the signals from GPS satellites are sufficient for many applications, often these systems require a local precision timing reference. This is particularly important for applications which require higher stability and/or availability than GPS can provide. In these applications, it is often valuable to form a composite clock, which exploits both the short-term stability of the local clock and the long-term accuracy of GPS. The local ensemble is generated by a technique known as “disciplining” in which the timing output of the precision clock is compared to that of the GPS system and the frequency of the clock is gently steered into compliance with the GPS. Whether the local clock is a crystal oscillator or a high precision atomic clock, optimum disciplining requires an understanding of the noise properties of both the clock and the GPS reference source in order to avoid the risk of accidentally degrading the clock’s performance while trying to improve it.

GPS is a valuable reference source because of its ready availability and long-term stability and accuracy. On shorter time scales, however, relatively low cost clocks, such as quartz or rubidium oscillators, have significantly better stability, as shown below in the Allan Deviation (ADEV) stability chart of * Figure 1*.

*Figure 1*

As seen in

*, the CSAC instability at one-second averaging time is s*

**Figure 1**_{y}(t =1)˜10

^{-10}and improves with averaging time as 1/t

^{1/2}, typical of atomic clocks. At longer times, here t >1000 seconds, the CSAC performance degrades due to temperature sensitivity and long-term drift. On the other hand, the GPS signal is relatively unstable at shorter averaging times, s

_{y}(t =1)˜10

^{-8}, but improves as 1/t such that it has superior stability at longer averaging times. To optimize the system performance on all time scales, the CSAC should be disciplined to GPS with a loop time constant equal to the averaging time at which the two noise processes intersect. From

*, the two lines intersect at ˜3000 seconds and thus this should be chosen as the loop time constant. An example of the combined stability of GPS and CSAC can be seen in the ADEV chart below where the CSAC was optimally disciplined with a time constant of 3000 seconds.*

**Figure 1**