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Du et al. Satell Navig             (2021) 2:3                                         Page 11 of 22





            combination or subgroup of observations) (Blanch et al.   guities and contaminated with cycle slips, resulting
            2019; Ge et al. 2017; Imparato et al. 2018a).          in extra failure modes that need to be monitored.
                                                                (2)  PPP  needs precise products and  correction mod-
            Integrity of PPP in ITS context                        els, and hence the nominal error models and threat
            Position accuracy and integrity requirements of ITS    models used in integrity monitoring should be care-
            ITS applications generally require lane-level (sub-metre)   fully developed.
            accuracy to enable autonomous driving. Some applica-  (3)  PPP  usually  requires  recursive  processing,  such
            tions may even need dm-level accuracy (Green et  al.   as the use of Kalman fltering, involving dynamic
            2013;  Stephenson  et  al.  2011).  For  position  integrity,   models with process noise, whereas GNSS SPS uses
            although there are some discussions and preliminary    simple “snapshot” integrity monitoring methods.
            statement of ITS requirements (European GNSS Agency
            2015, 2018; Reid et al. 2019; Salós et al. 2010), no stand-  Yet there is limited literature on PPP integrity, and their
            ardised or generally-accepted specifcations, nor mature   monitoring methods are still under investigation.
            methodology for ITS applications are currently available   Apart from above problematic aspects, complex urban
            (Zhu et al. 2018).                                environments make PPP integrity monitoring for ITS
              Te basic principle for integrity requirements is   much more challenging. Te main difculties are in
            that they should be defned according to the relevant   the following two aspects (Bryant 2019; Imparato et al.
            safety standards, e.g. International Organization for   2018a; Navarro et al. 2016; Zhu et al. 2018):
            Standardization (ISO) 26262 and ISO/Publicly Avail-
            able Specifcation (PAS) 21448 - Safety of the Intended   (1)  Multipath, NLOS errors, and signal interference
            Function (SOTIF) (Kafka  2012; ISO  2018,  2019; Koo-  occur frequently and have signifcant efects in
            pman et al. 2019). However, as integrity requirements   urban environments, for which appropriate sto-
            are highly dependent on applications, e.g. Advanced    chastic models and threat models are extremely dif-
            Driver-Assistance Systems (ADAS), collision avoid-     fcult to develop.
            ance, and diferent levels of autonomous driving, the   (2)  Harsh environments also mean low redundancy in
            specifcations for various ITS applications are manda-  the number of observations and high probability of
            tory (Zhu et  al.  2018).  Furthermore,  there are  many   multiple faults occurring at the same time.
            practical factors that need to be considered when defn-
            ing the ITS requirements, such as country and region,   Integrity information on real-time products or cor-
            road geometry, vehicle type/size, driving speed, and   rections for PPP can be generated at the network-end
            data latency (Reid et al. 2019).                  by using the measurements from a GNSS ground track-
              Te integrity indicators should also be tailored accord-  ing network, like the SIS integrity generation by GBAS
            ing to specifc ITS requirements. Especially for AL and   or SBAS. Te faults in diferent corrections, e.g. orbit
            PL in land applications, users are mainly concerned with   and clock correction and ionospheric correction, can be
            horizontal positions rather than vertical ones. HAL/  monitored separately by forming the measurements into
            HPL should be further decomposed into along-track (or   diferent monitors which are mainly sensitive to specifc
            longitudinal)  AL/PL  and  cross-track  (or  lateral)  AL/PL   errors (Weinbach et  al.  2018). Nevertheless, the integ-
            (Imparato et  al.  2018a; Reid et  al.  2019). Furthermore,   rity of network-generated products/corrections is rarely
            the test statistics and associated thresholds should be   discussed in the literature. Currently, none of the correc-
            adapted for ITS applications (El-Mowafy 2019).    tions provided by IGS-RTS include integrity information,
                                                              although URA is reserved according to Radio Technical
                                                              Commission for Maritime Services-State Space Repre-
            Integrity monitoring for PPP                      sentation (RTCM-SSR) protocol for future integrity capa-
            GNSS PPP integrity shares some common aspects with   bility (Cheng et al. 2018; IGS 2019). A preliminary study
            GNSS SPS integrity in terms of defnition, indicators, and   was done by Cheng et al. (2018) to investigate the strat-
            basic monitoring procedure. PPP integrity can be moni-  egy of URA characterisation based on the analysis of the
            tored at both the system-level and user-level. However,   real-time orbit and clock corrections from CNES (Cen-
            integrity monitoring for PPP must additionally consider   tre National D’Etudes Spatiales). A few service providers,
            the following aspects (Bryant 2019; Feng et al. 2009; Pas-  including SBAS systems such as those from Trimble and
            nikowski 2015; Romay and Lainez 2012):            the Quasi-Zenith Satellite System (QZSS), provide integ-
                                                              rity information on their correction services (Hirokawa
              (1)  PPP involves more observations, especially carrier-  et  al.  2016; Weinbach et  al.  2018). Trimble Center-
                  phase measurements, which are biased by the ambi-  Point RTX correction service utilises diferent types of
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