GPS Based Timing and Synchronization Solutions for WiMAX
Ken Hartman, ConnorWinfield
In the notsodistant past, the dilemma presented to engineers, as well as those responsible for watching BOM costs, was somewhat complex as many different component solutions across the product were required for an adequate timing implementation. Stability, tolerance, holdover, and phase noise issues related to system timing corrupted the end product from many different points within the design. The diversity of components and an engineers' inability to create a fully integrated end product design made it nearly impossible to reduce the BOM count and save on expensive, highend component costs.
How to Select an Appropriate Timing Solution
While it is now possible to get UTC timing accuracy within nanoseconds at extremely reasonable prices, particular attention must be paid to total system specifications. An appropriate timing solution meets all equipment requirements and pricing expectations. If a timing solution is specified inappropriately, the result will either be an end product that doesn't operate as well as it should or is priced incorrectly. To understand the timing and synchronization choices that are available, system specifications must first be understood.
Information transport requires consistent sequencing of information bits in order to accomplish error free transmission and reception. The foundation for error free transport is a synchronized transport environment. The key to a well synchronized transport is found in the sync reference architecture and specification. Equally important is the proper application and understanding of the sync requirements. Time domain (phase) references provide this foundation. Additionally, wireless information transport networks are required to maintain proper channel spacing and a consistent operating frequency in order not to interfere with adjacent channel transmissions and in order to be heard. Frequency domain references provide the means to maintain precise channel separation and receiver selectivity.
Many COTS GPS devices provide both time and frequency reference outputs ideally suited for WiMax applications. Use of such devices allows for proper operation independent of any backhaul transport scheme or wired network complications. Simultaneous generation of coherent timeofday, time and frequency references from a single, high quality, low cost source simplifies base station design and reduces cost.
Precision Navigation
Simultaneous generation of phase  1PPS  and frequency  10 MHz  ensures reference tracking to the GPS time scale and ultimately the UTC time scale to time accuracy of typically less than 15 nsec rms and a frequency accuracy of 1e12 tau=24hr MVAR. It is useful to understand the origin of time and frequency references based in GPS time references. Time and position are intimately related.Precision navigation is possible only with availability of precision time. To know where you are  you must know what time it is. The better you know time, the more precisely you can determine your position. GPS receivers use a direct application of the principle of triangulation to determine their position in space ( X, Y, and Z directions) and time (t GPS timescale). To do this information from at least 3 satellites (solve for X, Y, and t) or 4 satellites, or more, (solve for X, Y, Z and t).
Time and Frequency Recovery/Generation

Precise frequency generation is a bit more complicated. Since there is no intrinsic, recovered frequency from the GPS solution, a frequency must be synthesized by way of an FLL or more often a PLL. Using the 1PPS reference pulse ensemble and a *very* low bandwidth lowpass filter design (generally a few hertz to millihertz ) with minimal peaking, an output reference frequency whose rate can vary from tens of hertz to 20 MHz (user command selectable) is generated as a square wave output from the receiver.
In some cases a disciplined NCO is the source of the reference frequency output. Because of inherent NCO frequency quantization limitations along with local clock drift and stability limitations, the reference frequency is likely to contain significant sideband artifacts and phase noise elements that must be filtered for RF carrier generation applications.
The output of the GPS time and frequency receiver are accurate and phase aligned with the GPS time scale. The GPS time scale is consistent with but different from the UTC time scale  GPS is a continuous time scale, with no leap seconds or time discontinuities. UTC is an astronomically tied time scale, with periodic adjustments of +/ one second to maintain synchronization with the earth's rotation.
Generation of UTC timeofday time stamps for use with the 1PPS information is easy and straightforward using information supplied in the data from the GPS satellites. Phase locking the frequency reference to the 1PPS ensures close tracking of the periodic phase time and the continuous frequency phase information of the reference.
Understanding 1PPS and Frequency Reference Signals
It may be helpful to understand the characteristics of both the 1PPS and the frequency reference in order to more fully understand the appropriate use of each in system applications.In the case of the 1PPS signal it is clear that information on this signal at rates above 1 Hz does not exist. Thus we look at the signal characteristics in the time domain using standard MVAR analysis. It is fairly apparent that the variance plot shows the ultimate convergence of the output to the absolute time reference as one would expect, with intermediate deviations from the straight line magnitudes at various observation times being caused by filter design and intrinsic noise processes of the satellite orbital dynamics, propagation path, receiver downconverter, Kalman filter and pulse generator errors.
In the case of the frequency reference signal  in this case a 10 MHz reference output  because we would prefer to use the frequency reference as the pilot reference for the base station RF carrier generation, we find it more useful to examine it from a PSD point of view. Clearly characteristics for the top end of the wander band (1 Hz to 10 Hz) and the low end of the jitter band can be set by the lowpass filter corner frequency.
Very lowjitter and low wander performance can be achieved using filters in the sub hertz range. Such performance dictates a very highstability, disciplined oscillator however; generally an OCXO or very high quality TCXO. Opening the bandwidth of the lowpass filter relieves this requirement somewhat, but at the cost of introducing more of the intrinsic noise of the synthesized GPS reference.
Conclusion
Careful modeling and good understanding of system requirements will result in successful system implementations. The use of a high quality integrated receiver and reference with builtin holdover generally offers a direct, comprehensive solution to meeting all system requirements in the most cost effective manner.Find more information on ConnorWinfield Timing and Synchronization products at our website: www.conwin.com or through our distributor, DigiKey at www.digikey.com
Ken Hartman is Chief Technologist Officer for ConnorWinfield.