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GPS-Based Optimal FIR Filtering of Clock Models (Hardcover, New)
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GPS-Based Optimal FIR Filtering of Clock Models (Hardcover, New)
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This book addresses novel results in the field of optimal finite
impulse response (FIR) estimation and steering of the local clock
time errors using the Global Positioning System (GPS) timing
signals. The studies are motivated by permanently increased demands
for accuracy of the local timescales in different areas of
applications of wire and wireless digital systems. The main
limitations of accuracy here are the GPS time uncertainty caused by
different satellites in a view and the sawtooth noise induced by
the commercially available GPS timing receivers owing to the
principle of the one pulse per second (1PPS) signal formation. Due
to the GPS time uncertainty, flicker components of the clock noise,
and non Gaussian sawtooth noise, the standard Kalman algorithms may
become unstable and noisy, even when the sawtooth correction is
applied. We show that an efficient way of providing stable and
accurate filtering, smoothing, prediction, and steering of the
local clock errors is to use the optimal FIR structures, which are
inherently bounded input/bounded output (BIBO) stable and more
robust against temporary uncertainties and round-off errors.
Moreover, unbiased polynomial FIR solutions having strong
engineering features become actually optimal by large averaging
horizons typically used in timekeeping. Such solutions are found
and investigated in detail theoretically and for real measurements.
Based upon, it is stated that optimal (unbiased) FIR estimators are
likely the best candidates to use in the modern filtering,
prediction, and synchronisations algorithms intended for the
estimation and steering of local clocks.
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