Method and system for generating a protection zone
In one embodiment, a method is provided. The method comprises defining propagation analysis points for radial line R p ; obtaining, from an external database, terrain elevation data for the radial line R p up to a maximum radial distance; determining the contour point for the radial line R p ; and upon determining the contour points for M radii, generating a protection zone perimeter.
1. A spectrum access system (SAS) control system of a first SAS, comprising:
processing circuitry configured to:
on a radial line by radial line basis, define propagation analysis points for at least one radial line;
for each radial line, determine terrain elevation data for a propagation analysis point on a corresponding radial line at a maximum radial distance, where the terrain elevation data is determined using terrain elevations, for terrain elevation points on a radial line, obtained from an external database;
for each radial line, determine contour points; and
upon determining the contour points, generate a protection zone perimeter around a radio, where the processing circuitry is further configured to regulate transmission of one or more other radios in the protection zone perimeter so that a level of interference from the one or more other radios within a protection zone does not exceed a first threshold level; and
a communications system coupled to the processing circuitry;
wherein the communications system is configured to be coupled to the external database and at least one radio.
2. The SAS control system of claim 1 , wherein the communications system is configured to be coupled to at least one of: at least one environmental sensing capability (ESC) system, and at least one other SAS.
3. The SAS control system of claim 1 , wherein determining terrain elevation data comprises estimate a terrain elevation for a terrain elevation point on a radial line using two or more terrain elevations obtained from the external database.
4. The SAS control system of claim 3 , wherein estimating the terrain elevation comprises interpolate a terrain elevation using the two or more terrain elevations obtained from the external database.
5. The SAS control system of claim 1 , wherein determining the terrain elevation data comprises calculate a lateral position of each terrain elevation point on each radial line using a lateral position R0,0 of the radio, an incremental distance between terrain elevation points on each radial line, and one of Vincenty's formulae.
6. The SAS control system of claim 1 , wherein determining the terrain elevation data comprises calculate a lateral position of each terrain elevation point on each radial line using a lateral position R0,0 of the radio and an incremental distance between terrain elevation points on each radial line.
7. The SAS control system of claim 1 , wherein defining the propagation analysis points comprises select (N+1)*(360/m) propagation analysis points, where m is an incremental angle and N is a number of propagation analysis points along each radial line.
8. The SAS control system of claim 1 , wherein determining the contour points comprises:
for each propagation analysis point, match a lateral position of the propagation analysis point to a closest lateral position of a terrain elevation point on the radial line;
obtain elevations from the terrain elevation data for a subset of terrain elevation points on the radial line corresponding to each propagation analysis point on the radial line; and
determine a propagation analysis point on the radial line closest to the radio from which the radial line projects where an estimated power level is below a second threshold level.
9. A method, comprising:
defining propagation analysis points for radial line Rp;
determining terrain elevation data for a propagation analysis point on the radial line Rp at a maximum distance, where the terrain elevation data is generated using terrain elevations, for terrain elevation points on the radial line Rp, obtained from an external database;
determining a contour point for the radial line Rp; and
upon determining contour points for M radial lines, generating a protection zone perimeter around a radio, where transmission of one or more other radios in the protection zone perimeter is regulated so that a level of interference at the radio from the one or more other radios within a protection zone does not exceed a first threshold level.
10. The method of claim 9 , wherein generating the protection zone perimeter further comprises low pass filtering the protection zone perimeter.
11. The method of claim 9 , wherein determining the terrain elevation data comprises:
estimating a terrain elevation for a terrain elevation point on the radial line Rp using two or more terrain elevations obtained from the external database.
12. The method of claim 11 , wherein estimating the terrain elevation comprises interpolating terrain elevation using the two or more terrain elevations obtained from the external database.
13. The method of claim 9 , wherein determining the terrain elevation data comprises calculating a lateral position of each terrain elevation point on the radial line Rp using a lateral position R0,0 of the radio, an incremental distance between terrain elevation points on the radial line Rp, and one of Vincenty's formulae.
14. The method of claim 9 , wherein determining the terrain elevation data comprises calculating a lateral position of each terrain elevation point on the radial line Rp using a lateral position R0,0 of the radio and an incremental distance between terrain elevation points on the radial line Rp.
15. The method of claim 9 , wherein defining the propagation analysis points comprises:
selecting (N+1)*(360/m) propagation analysis points, where m is an incremental angle and N is a number of propagation analysis points along each radial line Rp.
16. The method of claim 15 , further comprising determining N by taking an integer value of a quotient of a maximum radial distance Rmax divided by an incremental distance between propagation analysis points on the radial line Rp.
17. The method of claim 9 , wherein determining the contour point comprises:
for each propagation analysis point, matching a lateral position of the propagation analysis point to a closest lateral position of a terrain elevation point on the radial line Rp;
obtaining elevations from the terrain elevation data for a subset of terrain elevation points on the radial line Rp corresponding to each propagation analysis point on the radial line Rp; and
determining a propagation analysis point on the radial line Rp closest to the radio from which the radial line Rp projects where an estimated power level is below a second threshold level.
18. A program product comprising a non-transitory processor readable medium on which program instructions are embodied, wherein the program instructions are configured, when executed by at least one programmable processor, to cause the at least one programmable processor to:
define propagation analysis points for radial line Rp;
determine terrain elevation data for a propagation analysis point on the radial line Rp at a maximum distance, where the terrain elevation data is generated using terrain elevations, for terrain elevation points on the radial line Rp, obtained from an external database;
determine a contour point for the radial line Rp; and
upon determining contour points for M radial lines, generating a protection zone perimeter around a radio, where transmission of one or more other radios in the protection zone perimeter is regulated so that a level of interference at the radio from the one or more other radios within a protection zone does not exceed a first threshold level.
19. The program product of claim 18 , wherein generating the protection zone perimeter further comprises low pass filter the protection zone perimeter.
20. The program product of claim 18 , wherein determining the terrain elevation data comprises:
estimate a terrain elevation for a terrain elevation point on the radial line Rp using two or more terrain elevations obtained from the external database.
21. The program product of claim 20 , wherein estimating the terrain elevation comprises interpolating terrain elevation using two or more terrain elevations obtained from the external database.
22. The program product of claim 18 , wherein determining the terrain elevation data comprises:
calculate a lateral position of each terrain elevation point on the radial line Rp using a lateral position R0,0 of the radio, an incremental distance between terrain elevation points on the radial line Rp, and one of Vincenty's formulae.
23. The program product of claim 18 , wherein determining the terrain elevation data comprises:
calculate a lateral position of each terrain elevation point on the radial line Rp using a lateral position R0,0 of the radio and an incremental distance between terrain elevation points on the radial line Rp.
24. The program product of claim 18 , wherein defining the propagation analysis points comprises:
selecting (N+1)*(360/m) propagation analysis points, where m is an incremental angle and N is a number of propagation analysis points along each radial line Rp.
25. The program product of claim 24 , wherein the program instructions are further configured to cause the at least one programmable processor to determine N by taking an integer value of a quotient of a maximum radial distance Rmax divided by an incremental distance between propagation analysis points on a radial line Rp.
26. The program product of claim 18 , wherein determining the contour point comprises:
for each propagation analysis point, match a lateral position of the propagation analysis point to a closest lateral position of a terrain elevation point on the radial line Rp;
obtain elevations from the terrain elevation data for a subset of terrain elevation points on the radial line Rp corresponding to each propagation analysis point on the radial line Rp; and
determine a propagation analysis point on the radial line Rp closest to the radio from which the radial line Rp projects where an estimated power level is below a second threshold level.