E([PHI],[THETA])aug = [RADIC] { E([PHI],[THETA])std }2 + A{g([THETA]) cos (180 DA/S }2
where:
E([PHI],[THETA])std is the standard pattern field at some particular azimuth and elevation angle, before augmentation, computed pursuant to Eq. 2, § 73.150(b)(1)(i) .
E([PHI],[THETA])aug. is the field in the direction specified above, after augmentation.
A = E([PHI], O)2aug-E([PHI], O)2std in which[PHI] is the central azimuth of augmentation. E([PHI], O)aug and E([PHI], O)std are the fields in the horizontal plane at the central azimuth of augmentation.
Note: "A" must be positive, except during the process of converting non-standard patterns to standard patterns pursuant to the Report and Order in Docket No. 21473, and in making minor changes to stations with patterns developed during the conversion. However, even when "A" is negative, "A" cannot be so negative that E([PHI],[ALPHA])aug is less than E([PHI],[THETA])th at any azimuth or vertical elevation angle.
g([THETA]) is defined in § 73.150(b)(1)(i) .
S is the angular range, or "span", over which augmentation is applied. The span is centered on the central azimuth of augmentation. At the limits of the span, the augmented pattern merges into the unaugmented pattern. Spans may overlap.
DA is the absolute horizontal angle between the azimuth at which the augmented pattern value is being computed and the central azimuth of augmentation. (DA cannot exceed 1/2 S.)
In the case where there are spans which overlap, the above formula shall be applied repeatedly, once for each augmentation, in ascending order of central azimuth of augmentation, beginning with zero degrees representing true North. Note that, when spans overlap, there will be, in effect, an augmentation of an augmentation. And, if the span of an earlier augmentation overlaps the central azimuth of a later augmentation, the value of "A" for the later augmentation will be different than the value of "A" without the overlap of the earlier span.
Whereas some pattern smoothing can be accommodated, the extent of the requested span(s) shall be minimized and in no case shall a requested augmentation span extend to a radial azimuth for which the analyzed measurement data does not show a need for augmentation.
Augmentation number | Central azimuth | Span | Radiation at central azimuth |
1 | 110 | 40 | 1,300 |
2 | 240 | 50 | 52 |
3 | 250 | 10 | 130 |
Following is a tabulation of part of the modified standard pattern:
Azimuth | 0 | 30 | 60 | Vertical angle |
0 | 28.86 | 68.05 | 72.06 | |
105 | 1,299.42 | 872.14 | 254.21 | |
235 | 39.00 | 35.74 | 38.71 | |
247 | 100.47 | 66.69 | 32.78 |
47 C.F.R. §73.152