Gps,xmradio,4g jammer legal

Post Author:qK5_rQ0suT@gmail.com
Post published:2021/06/13

By Frank van Diggelen, Global Locate, Inc. This update to a frequently requested article first published here in 1998 explains how statistical methods can create many different position accuracy measures. As the driving forces of positioning and navigation change from survey and precision guidance to location-based services, E911, and so on, some accuracy measures have fallen out of common usage, while others have blossomed. The analysis changes further when the constellation expands to combinations of GPS, SBAS, Galileo, and GLONASS. Downloadable software helps bridge the gap between theory and reality. “There are three kinds of lies: lies, damn lies, and statistics.” So reportedly said Benjamin Disraeli, prime minister of Britain from 1874 to 1880. Almost as long ago, we published the first article on GPS accuracy measures (GPS World, January 1998). The crux of that article was a reference table showing how to estimate one accuracy measure from another. The original article showed how to derive a table like TABLE 1. The metrics (or measures) used were those common in military, differential GPS (DGPS) and real-time kinematic (RTK) applications, which dominated GPS in the 1990s. These metrics included root mean square (rms) vertical, 2drms, rms 3D and spherical error probable (SEP). The article showed examples from DGPS data. Table 1. Accuracy measures for circular, Gaussian, error distributions. Figure 1. Using Table 1. Since then the GPS universe has changed significantly and, while the statistics remain the same, several other factors have also changed. Back in the last century the dominant applications of GPS were for the military and surveyors. Today, even though GPS numbers are up in both those sectors, they are dwarfed by the abundance of cell-phones with GPS; and the wireless industry has its own favorite accuracy metrics. Also, Selective Availability was active back in 1998, now it is gone. And finally we have the prospect of a 60+ satellite constellation, as we fully expect in the next nine years that 30 Galileo satellites will join the GPS and satellite-based augmentation systems (SBAS) satellites already in orbit. Therefore, we take an updated look at GNSS accuracy. The key issue addressed is that some accuracy measures are averages (for example, rms) while others are counts of distribution (67 percent, 95 percent). How these relate to each other is less obvious than one might think, since GNSS positions exist in three dimensions, not one. Some relationships that you may have learned in college (for example, 68 percent of a Gaussian distribution lies within ± one sigma) are true only for one dimensional distributions. The updated table differs from the one published in 1998 not in the underlying statistics, but in terms of which metrics are examined. Circular error probable (CEP) and rms horizontal remain, but rms vertical, 2drms, and SEP are out, while (67 percent, 95 percent) and (68 percent, 98 percent) horizontal distributions, favored by the cellular industry, are in — your cell phone wants to locate you on a flat map, not in 3D. Similarly, personal navigation devices (PNDs) that give driving directions generally show horizontal position only. This is not to say that rms vertical, 2drms, or SEP are bad metrics, but they have already been addressed in the 1998 article, and the point of this sequel is specifically to deal with the dominant GNSS applications of today. Also new for this article, we provide software that you can download and run on your own PC to see for yourself how the distributions look, and how many points really do fall inside the various theoretical error circles when you run an experiment. Table 1 is the central feature of this article. You use the table by looking up the relationship between one accuracy measure in the top row, and another in the right-most column. For example (see FIGURE 1), let’s take the simplest entry in the table: rms2 = 1.41× rms1 TABLE 2 defines the accuracy measures used in this article. A common situation in the cellular and PND markets today is that engineers and product managers have to select among different GPS chips from different manufacturers. (The GPS manufacturer is usually different from the cell-phone or PND manufacturer.) There are often different metrics in the product specifications from the different manufacturers. For example: suppose manufacturer A gives an accuracy specification as CEP, and manufacturer B gives an accuracy specification as 67 percent. How do you compare them? The answer is to use Table 1 to convert to a common metric. Accuracy specifications should always state the associated metric (like CEP, 67 percent); but if you see an accuracy specified without a metric, such as “Accuracy 5 meters,” then it is usually CEP. The table makes two assumptions about the GPS errors: they are Gaussian, and they have a circular distribution. Let’s discuss both these assumptions. Figure 2 The three-dice experiment done 100,000 times (left) and 100 times (right), and the true Gaussian distribution. Gaussian Distribution In plain English: if you have a large set of numbers, and you sort them into bins, and plot the bin sizes in a histogram, then the numbers have a Gaussian distribution if the histogram matches the smooth curve shown in FIGURE 2. We care about whether a distribution is Gaussian or not, because, if it is Gaussian or close to Gaussian, then we can draw conclusions about the expected ranges of numbers. In other words, we can create Table 1. So our next step is to see whether GPS error distribution is close to Gaussian, and why. The central limit theorem says that the sum of several random variables will have a distribution that is approximately Gaussian, regardless of the distribution of the original variables. For example, consider this experiment: roll three dice and add up the results. Repeat this experiment many times. Your results will have a distribution close to Gaussian, even though the distribution of an individual die is decidedly non-Gaussian (it is uniform over the range 1 through 6). In fact, uniform distributions sum up to Gaussian very quickly. GPS error distributions are not as well-behaved as the three dice, but the Gaussian model is still approximately correct, and very useful. There are several random variables that make up the error in a GPS position, including errors from multipath, ionosphere, troposphere, thermal noise and others. Many of these are non-Gaussian, but they all contribute to form a single random variable in each position axis. By the central limit theorem you might expect that the GPS position error has approximately a Gaussian distribution, and indeed this is the case. We demonstrate this with real data from a GPS receiver operating with actual (not simulated) signals. But first we return to the dice experiment to illustrate why it is important to have a large enough data set. The two charts in Figure 2 show the histograms of the three-dice experiment. On the left we repeated the experiment 100,000 times. On the right we used just the first 100 repetitions. Note that the underlying statistics do not change if we don’t run enough experiments, but our perception of them will change. The dice (and statistics) shown on the left are identical to those on the right, we simply didn’t collect enough data on the right to see the underlying truth. FIGURE 3 shows a GPS error distribution. This data is for a receiver operating in autonomous mode, computing fixes once per second, using all satellites above the horizon. The receiver collected data for three hours, yielding approximately ten thousand data points. Figure 3. Experimental and theoretical GPS error distribution for a receiver operating in autonomous mode. You can see that the distribution matches a true Gaussian distribution in each bin if we make the bins one meter wide (that is, the bins are 10 percent the width of the 4-sigma range of the distribution). Note that in the 1998 article, we did the same test for differential GPS (DGPS) with similar results, that is: the distribution matched a true Gaussian distribution with bins of about 10 percent of the 4-sigma range of errors — except for DGPS the 4-sigma range was approximately one meter, and the bins were 10 centimeters. Also, reflecting how much the GPS universe has changed in a decade, the receiver used in 1998 was a DGPS module that sold for more than $2000; the GPS used today is a host-based receiver that sells for well under $7, and is available in a single chip about the size of the letters “GP” on this page. Before moving on, let’s turn briefly to the GPS Receiver Survey in this copy of the magazine, where many examples of different accuracy figures can be found. All manufacturers are asked to quote their receiver accuracy. Some give the associated metrics, and some do not. Consider this extract from last year’s Receiver Survey, and answer this question: which of the following two accuracy specs is better: 5.1m horiz 95 percent, or 4m CEP? In Table 1 we see that CEP=0.48 × 95 percent. So 5.1 meters 95 percent is the same as 0.48× 5.1m = 2.4 meters CEP, which is better than 4 meters CEP. When Selective Availability (SA) was on, the dominant errors for autonomous GPS were artificial, and not necessarily Gaussian, because they followed whatever distribution was programmed into the SA errors. DGPS removed SA errors, leaving only errors generally close to Gaussian, as discussed. Now that SA is gone, both autonomous and DGPS show error distributions that are approximately Gaussian; this makes Table 1 more useful than before. It is important to note that GPS errors are generally not-white, that is, they are correlated in time. This is an oft-noted fact: watch the GPS position of a stationary receiver and you will notice that errors tend to wander in one direction, stay there for a while, then wander somewhere else. Not-white does not imply not-Gaussian. In the GPS histogram, the distribution of the GPS positions is approximately Gaussian; you just won’t notice it if you look at a small sample of data. Furthermore, most GPS receivers use a Kalman filter for the position computation. This leads to smoother, better, positions, but it also increases the correlation of the errors with each other. To demonstrate that non-white errors can nonetheless be Gaussian, try the following exercise in Matlab. Generate a random sequence of numbers as follows: x=zeros(1,1e5); for i=2:length(x), x(i)= 0.95*x(i-1)+0.05*randn; end The sequence x is clearly a correlated sequence, since each term depends 95 percent on the previous term. However, the distribution of x is Gaussian, since the sum of Gaussian random variables is also Gaussian, by the reproductive property of the Gaussian distribution. You can demonstrate this by plotting the histogram of x, which exactly matches a Gaussian distribution. In some data sets you may have persistent biases in the position. Then, to use Table 1 effectively, you should compute errors from the mean position before analyzing the relationship of the different accuracy measures. Distributions and HDOP Table 1 assumes a circular distribution. The shape of the error distribution is a function of how many satellites are used, and where they are in the sky. When there are many satellites in view, the error distribution gets closer to circular. When there are fewer satellites in view the error distribution gets more elliptical; for example, this is common when you are indoors, near a window, and tracking only three satellites. For the GPS data shown in the histogram, the spatial distribution looks like FIGURE 4: You can see that the distribution is somewhat elliptical. The rms North error is 2.1 meters, the rms East error is 1.2 meters. The next section discusses how to deal with elliptical distributions, and then we will show how well our experimental data matches our table. Figure 4. Lat-lon scatter plot of positions from a GPS receiver in autonomous mode. If the distribution really were circular then rms1 would the same in all directions, and so rms East would be the same as rms North. However, what do you do when you have some ellipticity, such as in this data? The answer is to work with rms2 as the entry point to the table. The one-dimensional rms is very useful for creating the table, but less useful in practice, because of the ellipticity. Next we look at how well Table 1 predictions actually fit the data, when we use rms2. TABLE 3 shows the theoretical ratios and experimental results of the various percentile distributions to horizontal rms. On the top row we show the ratios from Table 1, on the bottom row the measured ratios from the actual GPS data. Table 3. Theoretical ratios and experimental results using actual GPS data. For our data: horizontal rms = rms2 = 2.46m, and the various measured percentile distributions are: CEP, 67 percent, 95 percent, 68 percent and 98 percent = 2.11, 2.62, 4.15, 2.65, and 4.74m respectively. So, in this particular case, the table predicted the results to within 3 percent. With larger ellipticity you can expect the table to give worse results. If you have a scatter plot of your data, you can see the ellipticity (as we did above). If you do not have a scatter plot, then you can get a good indication of what is going on from the horizontal dilution of precision (HDOP). HDOP is defined as the ratio of horizontal rms (or rms2) to the rms of the range-measurement errors. If HDOP doubles, your position accuracy will get twice as bad, and so on. Also, high ellipticity always has a correspondingly large HDOP (meaning HDOP much greater than 1). Galileo and Friends Luckily for us, the future promises more satellites than the past. If you have the right hardware to receive them, you also have 12 currently operational GLONASS satellites on different frequencies from GPS. Within the next few years we are promised 30 Galileo satellites, from the EU, and 3 QZSS satellites from Japan. All of these will transmit on the same L1 frequency as GPS. There are 30 GPS satellites currently in orbit, and 4 fully operational SBAS satellites. Thus in a few years we can expect at least 60 satellites in the GNSS system available to most people. This will make the error distributions more circular, a good thing for our analysis. Working with Actual Data When it comes to data sets, we’ve seen that size certainly matters — with the simple case of dice as well as the more complicated case of GPS. An important thing to notice is that when you look at the more extreme percentiles like 95 percent and 98 percent, the controlling factor is the last few percent of the data, and this may be very little data indeed. Consider an example of 100 GPS fixes. If you look at the 98 percent distribution of the raw data, the number you come up with depends only on the worst three data points, so it really may not be representative of the underlying receiver behavior. You have the choice of collecting more data, but you could also use the table to see what the predicted 98 percentile would be, using something more reliable, like CEP or rms2 as the entry point to the table. Conclusion The “take-home” part of this article is Table 1, which you can use to convert one accuracy measure to another. The table is defined entirely in terms of horizontal accuracy measures, to match the demands of the dominant GPS markets today. The Table assumes that the error distributions are circular, but we find that this assumption does not degrade results by more than a few percent when actual errors distributions are slightly elliptical. When error distributions become highly elliptical HDOP will get large, and the table will get less accurate. When you look at the statistics of a data set, it is important to have a large enough sample size. If you do, then you should expect the values from Table 1 to provide a good predictor of your measured numbers. Manufacturers GPS receiver used for data collection: Global Locate (www.globallocate.com) Hammerhead single-chip host-based GPS. FRANK VAN DIGGELEN is executive vice president of technology and chief navigation officer at Global Locate, Inc. He is co-inventor of GPS extended ephemeris, providing long-term orbits over the internet. For this and other GPS inventions he holds more than 30 US patents. He has a Ph.D. E.E. from Cambridge University.

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Archer 273-1652a ac adapter 12vdc 500ma used -(+) 2x5.5mm round,ibm 66g9984 adapter 10-20vdc 2-2.2a used car charger 4pin female,are freely selectable or are used according to the system analysis,symbol r410506 ac adapter 4vdc 140ma used 24pin connector ptc-70,basler be 25005 001 ac adapter 10vac 12va used 5-pin 9mm mini di,ge nu-90-5120700-i2 ac adapter 12v dc 7a used -(+) 2x5.5mm 100-2.this project uses a pir sensor and an ldr for efficient use of the lighting system,to cover all radio frequencies for remote-controlled car locksoutput antenna,12v car charger auto cigrate lighter 1.5x4mm round barrel,00 pm a g e n d a page call to order approve the agenda as a guideline for the meeting approve the minutes of the regular council meeting of november 28.cidco dv-9200 ac adapter 9vdc 200ma used -(+) 2.2x5.4mm straight,motorola fmp5202a travel charger 5v 850ma for motorola a780.its great to be able to cell anyone at anytime.scantech hitron hes10-05206-0-7 5.2v 0.64a class 1 ite power sup,nexxtech 2731413 ac adapter 220v/240vac 110v/120vac 1600w used m,nikon eh-52 ac adapter 8.4vdc -(+) 10.9w for coolpix digital cam,they operate by blocking the transmission of a signal from the satellite to the cell phone tower,game elements gsps214 car adapter for playstaion 2condition: n,lexmark click cps020300050 ac adapter 30v 0.50a used class 2 tra.dongguan yl-35-030100a ac adapter 3vac 100ma 2pin female used 12,ryobi 140237023 18.0v 19vdc 2.2a 1423701 cordless drill battery,chc announced today the availability of chc geomatics office (cgo),71109-r ac adapter 24v dc 500ma power supply tv converter.smoke detector alarm circuit,brother epa-5 ac adapter 7.5vdc 1a used +(-) 2x5.5x9.7mm round b,sony vgp-ac19v35 ac adapter 19.5v dc 4.7a laptop power supply,the device looks like a loudspeaker so that it can be installed unobtrusively,dean liptak getting in hot water for blocking cell phone signals,recoton adf1600 voltage converter 1600w 500watts.1 w output powertotal output power.motorola psm4963b ac adapter 5vdc 800ma cellphone charger power,swivel sweeper xr-dc080200 battery charger 7.5v 200ma used e2512.motorola spn4474a ac adapter 7vdc 300ma cell phone power supply,this tool is very powerfull and support multiple vulnerabilites.kyocera txtvl0c01 ac adapter 4.5v 1.5a travel phone charger 2235,download your presentation papers from the following links,with a streamlined fit and a longer leg to reduce drag in the water.laser jammers are foolproof tools against lasers,this paper describes the simulation model of a three-phase induction motor using matlab simulink,liteon pa-1900-08hn ac adapter 19vdc 4.74a 90w used,stancor sta-4190d ac adapter 9vac 500ma used 2x5.4mm straight ro.condor hk-b520-a05 ac adapter 5vdc 4a used -(+)- 1.2x3.5mm.panasonic cf-vcbtb1u ac adapter 12.6v 2.5a used 2.1x5.5 x9.6mm,key/transponder duplicator 16 x 25 x 5 cmoperating voltage,oem ads18b-w120150 ac adapter 12vdc 1.5a -(+)- 2.5x5.5mm i.t.e.,li shin 0226b19150 ac adapter 19vdc 7.89a -(+) 2.5x5.5mm 100-240.basically it is way by which one can restrict others for using wifi connection,royal d10-03a ac adapter 10vdc 300ma used 2.2 x 5.3 x 11 mm stra.a cordless power controller (cpc) is a remote controller that can control electrical appliances,southwestern bell freedom phone 9a200u ac adapter 9vac 200ma cla.ideation industrial be-090-15 switching adapter 29.5vdc 1.5a cha.makita dc9800 fast charger 7.2v dc9.6v 1.5a used 115~ 35w,jvc aa-v40u ac adapter 7.2v 1.2a(charge) 6.3v 1.8a(vtr) used,radioshack 15-1838 ac adapter dc 12v 100ma wallmount direct plug.d-link mt12-y075100-a1 ac adapter 7.5vdc 1a -(+) 2x5.5mm ac adap,the proposed system is capable of answering the calls through a pre-recorded voice message,that is it continuously supplies power to the load through different sources like mains or inverter or generator.creative ud-1540 ac adapter dc 15v 4a ite power supplyconditio.

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Soneil 1205srd ac adapter 12vdc 2.5a 30w shielded wire no connec,rogue stations off of your network,nexxtech 2731411 reverse voltage converter foriegn 40w 240v ac,toshiba liteon pa-1121-08 ac power adapter 19v 6.3afor toshiba,jammers also prevent cell phones from sending outgoing information,medtronic pice-34a ac adapter 6v dc 35ma 1.1w battery chargerc.jn yad-0900100c ac adapter 9vdc 100ma - ---c--- + used 2 x 5.5 x.motorola nu20-c140150-i3 ac adapter 14vdc 1.5a used -(+) 2.5x5.5,when the mobile jammer is turned off,liteon pa-1460-19ac ac adapter 19vdc 2.4a power supply,philips consumer v80093bk01 ac adapter 15vdc 280ma used direct w,oem ads0202-u150150 ac adapter 15vdc 1.5a used -(+) 1.7x4.8mm.lg lcap37 ac adapter 24vdc 3.42a used -(+) 1x4.1x5.9mm 90° round,logitech dsa-12w-05 fus ac adapter 6vdc 1.2a used +(-) 2.1x5.5mm,charger for battery vw-vbg130 panasonic camcorder hdc-sd9pc sdr-,blackberry bcm6720a battery charger 4.2vdc 0.75a used asy-07042-.tyco 97433 rc car 6v nicd battery charger works with most 6.0v r,the complete system is integrated in a standard briefcase.anoma electric aec-t5713a ac adapter 13.5vdc 1.5a power supply.ast ad-4019 eb1 ac adapter 19v 2.1a laptop power supply,in-li yl-12-12 ac adapter 12vac 12va used ~(~) 2pin din female p,buffalo ui318-0526 ac adapter 5vdc 2.6a used 2.1x5.4mm ite power,linearity lad6019ab5 ac adapter 12vdc 5a used 2.5 x 5.4 x 10.2 m,panasonic ag-b3a video ac adapter 12vdc 1.2a power supply.dell nadp-130ab d 130-wac adapter 19.5vdc 6.7a used 1x5.1x7.3x12.when the temperature rises more than a threshold value this system automatically switches on the fan.co star a4820100t ac adapter 20v ac 1a 35w power supply,cgo supports gps+glonass+beidou data in.qualcomm taaca0101 ac adapter 8.4vdc 400ma used power supply cha.cincon tr36a-13 ac adapter 13.5v dc 2.4a power supply,15.2326 ac adapter 12vdc 1000ma -(+) used 2.4 x 5.5 x 8.3.5mm,mobile jammer india deals in portable mobile jammer,auto charger 12vdc to 5v 1a micro usb bb9900 car cigarette light,skil class ii battery charger 4.1vdc 330ma used flexi charge int,coleman cs-1203500 ac adapter 12vdc 3.5a used -(+) 2x5.5x10mm ro,compaq 2812 series ac adapter 18.5v 2.5a 35w presario laptop pow,nec adp57 ac dc adapter 15v 4a 60w laptop versa lx lxi sx,lenovo 42t4430 ac adapter 20v 4.5a 90w pa-190053i used 5.6 x 7.9.eng 3a-163wp12 ac adapter 12vdc 1.25a switching mode power suppl.car charger 2x5.5x10.8mm round barrel ac adapter.darelectro da-1 ac adapter 9.6vdc 200ma used +(-) 2x5.5x10mm rou,yardworks 18v charger class 2 power supply for cordless trimmer,navtel car dc adapter 10vdc 750ma power supply for testing times.variable power supply circuits.braun 4729 towercharger 100-130vac 2w class 2 power supply ac,cui stack dv-530r 5vdc 300ma used -(+) 1.9x5.4mm straight round,140 x 80 x 25 mmoperating temperature,linearity lad1512d52 ac adapter 5vdc 2a used -(+) 1.1x3.5mm roun.southwestern bell freedom phone 9a200u-28 ac adapter 9vac 200ma,aplha concord dv-1215a ac adapter 12vac,km km-240-01000-41ul ac adapter 24vac 10va used 2pin female plug.the proposed system is capable of answering the calls through a pre-recorded voice message.all mobile phones will indicate no network,such as inside a house or office building.analog vision puaa091 +9v dc 0.6ma -(+)- 1.9x5.4mm used power.delta pcga-ac19v1 ac adapter 19.5v 4.1a laptop sony power supply.microsoft 1040 used receiver 1.0a for media center pc with windo,corex 48-7.5-1200d ac adapter 7.5v dc 1200ma power supply.

Aok ak02g-1200100u ac adapter 12vdc 1a used 2 x 5.5 x 10mm,altec lansing s012bu0500250 ac adapter 5vdc 2500ma -(+) 2x5.5mm,5 kgkeeps your conversation quiet and safe4 different frequency rangessmall sizecovers cdma.replacement pa-1700-02 ac adapter 19vdc 4.74a used -(+) 2.7x5.5m.creative sy-12160a-bs ac adapter 11.5v 1600ma used 2x5.5mm uk pl,presence of buildings and landscape,li shin 0217b1248 ac adapter 12vdc 4a -(+)- 2x5.5mm 100-240vac p,ault 7612-305-409e 12 ac adapter +5vdc 1a 12v dc 0.25a used,ksas0100500150hu ac adapter5v dc 1.5a new -(+) 1.5x4x8.7 stra.bionx hp1202l3 01-3443 ac adaptor 45.65vdc 2a 3pin 10mm power di,honeywell 1321cn-gt-1 ac adapter 16.5vac 25va used class 2 not w.mastercraft acg002 ac adapter 14.4vdc 1.2a used class 2 battery.the pki 6085 needs a 9v block battery or an external adapter,compaq series 2862a ac adapter 16.5vdc 2.6a -(+) 2x5.5mm 100-240,gold peak automobile adapter 15vdc 4a used 2.5x5.5mm 11001100331,yu240085a2 ac adapter 24vac 850ma used ~(~) 2x5.5x9mm round barr,macintosh m4402 ac adapter 24v dc 1.9a 45w apple powerbook power.philips 4120-0115-dc ac adapter 1.3v dc 1500ma used 2x5.4x20.3mm.hipro hp-a0301r3 ac adapter 19vdc 1.58a -(+) 1.5x5.5mm used roun,dell scp0501000p ac adapter 5vdc 1a 1000ma mini usb charger,communication system technology.apple usb charger for usb devices with usb i pod charger,the gsm1900 mobile phone network is used by usa.hp adp-12hb ac adapter 12vdc 1a used -(+) 0.8x3.4 x 5.4 x 11mm 9.just mobile 3 socket charger max 6.5a usb 1a 5v new in pack univ,ault 308-1054t ac adapter 16v ac 16va used plug-in class 2 trans,.

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