Abstract— Although the carrier Doppler and the code Doppler
are generated by the same relative movement between the satellite
and the user, often, the each tracking loop are designed separately
and independently. For better GPS signal tracking performance,
we need to design the PLL/FLL/DLL altogether optimally. So this
paper uses a combined receiver tracking filter, which is the
extended Kalman filter to track the C/A code and the carrier
frequency together. However this combined receiver tracking
filter shows a degraded performance under high dynamic
situations because the Doppler frequency changes faster with time.
To solve this problem, this paper proposes an adaptive combined
receiver tracking filter using an adaptive two-stage extended
Kalman filter, which can adapt to an incomplete model and a
quickly changed bias. An adaptive combined receiver tracking
filter gives a solution for the nonlinear system with the unknown
random bias on the assumption that the stochastic information of
the random bias is incomplete. The proposed adaptive combined
receiver tracking filter has a strong tracking ability to the
suddenly changing bias and has acceptable computational
complexity. The performance of an adaptive combined receiver
tracking filter is verified by simulation.
I. INTRODUCTION
Although the carrier Doppler and the code Doppler are
generated by the same relative movement between the satellite
and the user, often, the each tracking loop are designed
separately and independently. For better GPS signal tracking
performance, we need to design the PLL/FLL/DLL altogether
optimally. To realize this, the tracking loop based on the linear
quadratic Gaussian (LQG) controller and the combined receiver
tracking filter (CRTF) was proposed for GPS or Galileo in
previous papers of authors [1,2]. The CRTF consists of several
states such as line-of-sight range rate, code phase error, carrier
phase error and signal state and is based on several models,
which consist of I&Q measurement model, code/carrier phase
dynamic model and signal fading model. Of course, a tracking
loop using a CRTF and a LQG controller shows a good
performance under normal situations, but this loop does not
give a good performance under high dynamic situations
because this loop assumes that the user is stationary or moving
with nearly constant velocity.
In high dynamic situations, the Doppler frequency changes
faster with time. So the carrier tracking loop of a GPS receiver
requires a wide bandwidth to track a carrier signal in high
dynamic situations. However a wide bandwidth allows that
noises within the bandwidth of the tracking loop pass through
the loop filter. As these noises are used in the digitally
controlled oscillator (DCO), the carrier tracking loop of a GPS
receiver shows a degraded performance. To reduce a noise,
several researches proposed the carrier tracking loop using the
Kalman filter, which offers the DCO a less noisy phase error.
The linear or extended Kalman filter were used and these filters
were based on a carrier phase dynamic model [3~7]. These
Kalman filters estimated the carrier phase error between the
incoming signal and the DCO. However, under high dynamic
situations, the Kalman filter also may not track the Doppler
frequency because the Doppler frequency changes faster with
time.
To solve this problem, we need the adaptive Kalman filter.
The main topic of this paper is to propose a new tracking loop
with the adaptive combined receiver tracking filter (ACRTF) to
track a quickly changed Doppler frequency and to design
PLL/FLL/DLL altogether under high dynamic situations. This
adaptive filter was based on the adaptive two-stage extended
Kalman filter (ATEKF) proposed by Kim and coauthors [8,9]
and could adapt to an incomplete dynamic model and a quickly
changed Doppler frequency. The LQG controller can be
replaced with the loop filter of the conventional tracking loops.
Section II explains the tracking loop using the CRTF. For
signal dynamic modeling, code/carrier phase dynamic model, I
& Q measurement model and signal fading model are designed,
respectively. The CRTF is based on these models. In section III,
the ATEKF and the ACRTF are explained and the structure of
the proposed tracking loop is shown. To verify the performance
of the proposed tracking loop, several simulations are
performed in section IV.
The Adaptive Combined Receiver Tracking
Filter Design for High Dynamic Situations
Kwang-Hoon Kim*, Gyu-In Jee*, Jong-Hwa Song*, Sangkyung Sung**
*Department of Electronic Engineering, Konkuk University, Seoul, KOREA
**Department of Aerospace Information Engineering, Konkuk University, Seoul, KOREA
203 1-4244-1537-3/08/$25.00 ©2008 IEEE
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