Further Studies on the VPPP Algorithms by using Multiple Antennas

Abstract

In this paper we present a carrier-phase-based PPP algorithm with multiple antennas which are disposed with solid geometrical distances and with the common receivers' clock errors, based on GR models. We present GR equations for multiple antennas, and derive the Kalman filtering formula of very precise point positioning. We also discuss on the algorithms of the so-called GNSS(GPS) Gyro by obtaining baseline vecters among antennas and the rotational matrix. The experimentals are shown by using results of the large triangle of antennas' positions: Kyoto, Okinawa and Hokkaido areas, GNSS Earth Observation Network System (GEONET) of Japan.

New PPP/VPPP Algorithms by using Multiple Antennas

“…The positioning experiments of (a) PPP and (b) VPPP for two methods; without differences of C/A code and L1 carrier-phase observables in [13]- [14] (call WOD-methods), and the presently proposed (c) DD-PPP and (d) DD-VPPP by taking double differences for observables (call DD-methods), are carried out by applying the Kalman filter formulation under static positioning conditions. Fig.…”

“…According to [5][6][7][8][9][10], at first, we present the GNSS regression (GR) equation and the PPP algorithm which achieves the positioning accuracy in decimeter level without any external transmitted information such as from the wide area augmentation system (WAAS). Then we had derived the very precise point positioning (VPPP) algorithm with multiple antennas and with common receivers' clock errors by applying the multiple GR models and Kalman filtering [11][12][13][14].…”

VPPP Algorithms with Multiple Antennas by Applying MADOCA Products

“…In this paper, according to our previous research works [1]- [4], we present the algorithms of the VPPP (Very Precise Point Positions) using multiple GNSS antennas with known distances each other. VPPP algorithms contain the very precise GNSS positioning as well as the so-called GNSS Gyro by estimating the multiple baseline vectors from the reference antenna to other antennas.…”

“…First of all, in this paper, we review the previous VPPP algorithms with multiple antennas [1]- [4] based on Global navigation satellite system Regression models (referred as GR models) which have been developed in [5].…”

VPPP Algorithms of Baseline Vector Estimation among Multiple Antennas

“…The gradient vectors Proceedings of the 48th ISCIE International Symposium on Stochastic Systems Theory and Its Applications Fukuoka, Nov. [4][5]2016 for the baseline vectors are the average of two different vectors from two antennas to a same satellite. The baseline-vector lengths can be utilized as constraints by the similar method of VPPP/DD-VPPP [13]- [16].…”