Home | Communications | Gps
2 Integrity Machines: Real Time Error Bounds To enable a host of safety benefits, civil aviation organizations worldwide are deploying GPS augmentation systems that improve and measure the performance of GPS in real time. One of these is a local area augmentation system (LAAS) and each LAAS serves one airport. The other is a wide area augmentation system (WAAS) that serves continental areas. The International Civil Aviation Organization (ICAO) has standards for both of these architectures. The ICAO documents refer to the LAAS as a ground based augmentation system (GBAS), and they refer to the WAAS as a space based augmentation system (SBAS) for reasons that will soon be apparent. Both WAAS and LAAS are differential GPS systems. They measure GPS performance with GPS receivers at known reference locations. These reference receivers compare their GPS measurements to those that should exist at their known locations. The differences are converted to corrections and error bounds that are broadcast to participating aircraft in real-time. The corrections are applied by the avionics and improve the accuracy of GPS from ten meters to one meter or better. LAAS is a local area differential GPS system, because all reference receivers are placed on the property of the airport to be served. LAAS corrections are nearly perfect for aircraft approaching the subject airport. The LAAS corrections and error bounds are broadcast to the approaching aircraft using a line-of-sight VHF transmitter that is also located on the airport property. The broadcast system is referred to as a VHF data link or VDL. ICAO refers to these systems as ground-based augmentation systems (GBAS), because the data link is a terrestrial radio. WAAS is a wide area differential GPS system. In contrast to LAAS, WAAS reference stations span continental areas, and WAAS develops a four dimensional correction for each satellite. One element of this 4-tuple corrects the satellite clock and the remaining three correct the satellite ephemeris (location). WAAS also sends a grid of ionospheric errors for the region spanned by the SBAS ground system. These corrections are valid across the area spanned by the reference stations, and so they are broadcast to users through a geostationary satellite with a large coverage footprint. Since satellites are used for the data link, ICAO refers to such systems as space-based augmentation systems (SBAS). The geostationary satellite modulates the WAAS data onto a signal that is in the GPS L1 band and resembles the GPS signal, and this signal is synchronized to GPS time. Consequently, the geostationary satellite serves two purposes: it is a data link and it can augment the normal suite of GPS ranging measurements. Even though LAAS and WAAS develop corrections to improve accuracy, their truly essential purpose is to broadcast real-time error-bounds. These bounds are called protection levels (PLs) and must over bound the true position error under all conditions and in real time. The pilot uses the current PL to determine whether a particular operation is safe. If the protection level is smaller than the alarm limit (AL) required for a particular operation, then the pilot may fly that procedure. If the PL fails to bound the error, then the pilot may attempt a landing that is not safe and integrity has failed. On the other hand, the PLs cannot be too conservative - otherwise the full capability of the system will not be utilized. The essential purpose of LAAS and WAAS is to provide real time error bounds or protection levels (PL) that meet the following requirement. ( According to the top equation, the protection level (PL) must overbound the true error experience by the user ( ) with a probability of 1-10-7. The second equation develops this basic requirement. As shown, the protection level is based on the measurements that are currently available from the reference receivers (z). This data is used to ascertain the probability that certain specified hazards may be in force. Example hazards include an active ionosphere, satellite signal failures, signal reflections near the receiving antennas, and radio frequency interference. ( ) Pr i H z is the probability that hazard i is true given the current data. The PL should be the minimum value that almost certainly overbounds the true error given that the system must operate in the presence of the specified list of potential hazards, { } 1 I i i H = . Importantly, LAAS and WAAS are structured so that individual countries retain control over the safety of navigation within their borders. Indeed, each government has responsibility for safe navigation within its borders, and today they rely on in-country, terrestrial equipment to execute this sovereign responsibility. With LAAS and WAAS, they still have a national mechanism to monitor and override the signals that come from a shared international satellite navigation system. This mechanism is under sovereign control, but conforms to international standards, so that an aircraft need not carry multiple sets of avionics simply because it crosses political boundaries. WAAS became operational in the United States on July 10, 2003. The Europeans and Japanese will deploy similar systems within a few years. Ground-based augmentation systems will come on-line in a similar time frame. 3 Using Signals of Opportunity to Harden GPS GPS signals travel 20,000 kilometers from medium-earth orbit to the surface of the Earth, and so the received signals are extremely weak. Consequently, they are vulnerable to radio frequency interference (RFI) and signal obstructions. The performance of the receiver depends on the received carrier power to noise density ratio, which is nominally given by The received signal is amplified by the gain of the user’s receiving antenna, GR, to yield the effective carrier power C. Even in the absence of RFI, the GPS signal must still compete with natural noise received by the antenna and generated in the front end of the receiver. The external noise is given by kTA, where k is Boltzmann’s constant, and TA is the temperature of the external noise. The receiver’s internal noise is given by kT0FLNALcable/filter, where T0 is a reference temperature of 290 K, FLNA is the noise figure of the low noise amplifier (LNA), and Lcable/filter is the loss of the cable and filter that precede the LNA. This noise density is denoted N0, which is a power per unit bandwidth, and typical values are around –201 dBW/Hz. If man-made signals other than GPS are being received, then we have radio frequency interference (RFI) and the denominator contains an additional term I0, which is also a power per unit bandwidth. If an obstruction attenuates the signal, then the numerator of our signal to noise ratio suffers, and the received signal power is reduced by Lblock. The signal to noise ratio is reduced to ( ) block R block R 0 0 0 0 LNA cable/filter 0 S S A L G P L GP C N N I kT kT F L I = = + + + (4) In general, I0 depends on the range to the source of the RFI and the details of the propagation path. Figure 1 approximates the signal to noise ratio (C/N0) assuming that the RFI transmitter is radiating 1 mW/MHz, and that their is no blockage (Lblock=1). As shown, the signal to noise ratio suffers out to distances of ten kilometers. Figure 1: Received Signal to Noise Ratio With RFI. A modest radiation of 1 mW/MHz can degrade GPS SNRs to ranges of 1 to 10 kilometers depending on the propagation path from the RFI source to the GPS victim receiver. Signal obstructions pose a similar challenge. More and more GPS users find themselves in environments that block satellite signals. For example, cell phone users want to be able to automatically communicate their position when they dial 911 to report an emergency. However, they want this capability even if they are downtown or indoors. Under open sky, the C/N0 for GPS satellites range from 40 to 50 dB-Hz. Downtown, C/N0 values range from 15 to 40 dB-Hz. Indoors, even the strongest C/N0 is probably weaker than 25 dB-Hz (Van Roy, et.al.). These twin challenges, RFI and signal obstructions, have motivated a large family of counter-measures. Civil aviation operations that use GPS have specified procedures for escaping the area troubled by RFI. Others use inertial guidance to help escape or perhaps complete the operation. Some simply require backup navigation aids such as Loran-C or distance measuring equipment (DME). Military applications of GPS frequently include beam steering antennas that selectively null out interfering signals without appreciably degrading the signal strength from the GPS satellites. Some of these advanced antennas leverage the direction of arrival of the offending signal and other discriminate based on the polarization of the interfering wave. Such antennas are called null-steering or controlled radiation pattern antennas (CRPAs). These antennas are a subject of their own, and the interested reader is referred to Compton (1988), Applebaum (1976) and Widrow (1967). Other military receivers incorporate inertial measurements to reduce their tracking bandwidths and thus reduce the impact of RFI. The Joint Precision Approach and Landing System (JPALS) will use both beam steering and inertial aiding. Consumer applications may well augment GPS with range measurements to television stations or to cell phone base stations. (Rabinowitz and Spilker, 2003). They also benefit from GPS assistance data that is communicated by the cell phone signals. (Agarwal, et.al. 2002, Enge, Fan and Tiwari, 2001; Taylor and Sennott, 1984; and Syrjarinne, 2001.) The assistance data improves GPS coverage in urban areas by supplanting the fragile navigation message. The replacement navigation message is most welcome, because signal blockages wreak havoc with the navigation messages from the satellites. The cell phone network also delivers estimates of the satellite Doppler, which is used to decrease the signal search area and thereby improves signal sensitivity by enabling the mobile receiver to use longer averaging times. Finally, the cell phone carrier can be used to frequency lock the local oscillator in the mobile receiver, thus improving its stability and further reducing the Doppler search. 4 New Civil Signals In the near future, GPS will provide an expanded signal set for both military and civil users. Figure 2 shows the signals that are available today along with the new signals. The current signals are described in Section 4.1, and the new signals at L2=1227.60 MHz and L5=1176.45 MHz are described in Sections 4.2 and 4.3 respectively. This paper focuses entirely on the civil signals and capabilities. We spend little time with the old or new military signals. Figure 2: New & Old GPS Signals: Power Spectrum. In 2000, GPS satellites radiate C/A-coded and Y-coded signals at 1575.42 MHz, and a Y coded signal at 1227.60 MHz. By 2015, they will radiate civil signals at 1575.42, 1227.60 and 1176.45 MHz. They will also radiate new military signals at 1575.42 and 1227.60 MHz. 4.1 Today’s Civil Signal The spectra of today’s GPS signals are shown in Figure 2. The signal from the kth satellite can be described mathematically as follows: (As shown, each satellite sends three rather similar signals. Any of these can be described as the product of four terms: an amplitude 2P ; the navigation data, D(t); a spread spectrum code, x(t) or y(t); and the radio frequency (RF) carrier cos 2 πft + θ ( ) or sin 2 πft + θ ( ). This hierarchy is shown in Figure 3. Carrier at 1575.42 MHz (L1) 1227.60 MHz (L2) 19 cm (L1) 300 m Code at 1.023 Mcps (C/A) Figure 3: Hierarchy of GPS Signals Showing Relationship Between the Carrier, Code and Navigation Data. The C/A coded signal on 1575.42 MHz is used as an example.
Article Source: http://www.articlesboard.com
1. N. Agarwal, J. Basch, P. Bechmann, P. Bharti, S. Casadei, A. Chou, P. Enge, W. Fong, N. Hathi, W. Mann, A. Sahai, J. Stone, J. Tsitsiklis and B. Van Roy, “Urban GPS: Algorithms for GPS Operation Indoors and Downtown,” to be published in GPS Solutions, 2002 2. A. Applebaum, “Adaptive Arrays,” IEEE Transactions on Antennas and Propagation, vol. AP-24, no. 5, pp. 585-598, 1976 3. F. Bauregger, “Novel Anti-Jam Antennas for Airborne GPS Navigation,” PhD dissertation, Stanford University Dep
Please Rate this Article
5 out of 54 out of 53 out of 52 out of 51 out of 5
Not yet Rated
Web Hosting, Web Designing, Web Development.