# Beamforming Subarray Active Antenna  Systems

## **Active Antenna System**<span class="heading-anchor-wrapper" role="presentation"><button aria-hidden="true" class="css-x4slh0" data-testid="anchor-button" type="button"><span aria-label="Copy" class="_1e0c1o8l _vchhusvi _1o9zidpf _vwz4kb7n _y4ti1igz _bozg1mb9 _12va1onz _jcxd1r8n" role="img"><svg class="_1reo15vq _18m915vq _syaz1r31 _lcxvglyw _s7n4yfq0 _vc881r31 _1bsbpxbi _4t3ipxbi" fill="none" role="presentation" viewbox="0 0 16 16"><path clip-rule="evenodd" d="M8.22 2.22a3.932 3.932 0 1 1 5.56 5.56l-2.25 2.25-1.06-1.06 2.25-2.25a2.432 2.432 0 0 0-3.44-3.44L7.03 5.53 5.97 4.47zm3.06 3.56-5.5 5.5-1.06-1.06 5.5-5.5zM2.22 8.22l2.25-2.25 1.06 1.06-2.25 2.25a2.432 2.432 0 0 0 3.44 3.44l2.25-2.25 1.06 1.06-2.25 2.25a3.932 3.932 0 1 1-5.56-5.56" fill="currentcolor" fill-rule="evenodd"></path></svg></span></button></span>

Active Antenna System are described in Recommendation <span data-highlighted="true" data-vc="highlighted-text"><span class="_kqswh2mm"><span class="_5pioz8co _189e1dm9 _1il9buyh _19lc184f _d0altlke" data-testid="definition-highlighter">ITU-R</span></span></span> M.2101 and the extended sub-array <span data-highlighted="true" data-vc="highlighted-text"><span class="_kqswh2mm"><span class="_5pioz8co _189e1dm9 _1il9buyh _19lc184f _d0altlke" data-testid="definition-highlighter">AAS</span></span></span> model with suggested parameters in <span data-highlighted="true" data-vc="highlighted-text">ITU-R</span> Working Party 5D Chairman's Report in Chapter 4 Annex 4.4 [<span data-highlighted="true" data-vc="highlighted-text">ITU-R</span> <span data-highlighted="true" data-vc="highlighted-text">WP5D</span> document 5D/716](https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx "https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx") "Characteristics of terrestrial component of <span data-highlighted="true" data-vc="highlighted-text"><span class="_kqswh2mm"><span class="_5pioz8co _189e1dm9 _1il9buyh _19lc184f _d0altlke" data-testid="definition-highlighter">IMT</span></span></span> for sharing and compatibility studies in preparation for WRC-23" or 3GPP <span data-highlighted="true" data-vc="highlighted-text"><span class="_kqswh2mm"><span class="_5pioz8co _189e1dm9 _1il9buyh _19lc184f _d0altlke" data-testid="definition-highlighter">TR</span></span></span> 38.803 Section 5.2.3.2.4. The background information for the <span data-highlighted="true" data-vc="highlighted-text">AAS</span> model can be found in [<span data-highlighted="true" data-vc="highlighted-text">ITU-R</span> <span data-highlighted="true" data-vc="highlighted-text">WP5D</span> document 5D/701-E](https://www.itu.int/md/meetingdoc.asp?lang=en&parent=R19-WP5D-C-0701 "https://www.itu.int/md/meetingdoc.asp?lang=en&parent=R19-WP5D-C-0701").

## **Sub-array <span data-highlighted="true" data-vc="highlighted-text">AAS</span> plugin parameters**<span class="heading-anchor-wrapper" role="presentation"><button aria-hidden="true" class="css-x4slh0" data-testid="anchor-button" type="button"><span aria-label="Copy" class="_1e0c1o8l _vchhusvi _1o9zidpf _vwz4kb7n _y4ti1igz _bozg1mb9 _12va1onz _jcxd1r8n" role="img"><svg class="_1reo15vq _18m915vq _syaz1r31 _lcxvglyw _s7n4yfq0 _vc881r31 _1bsbpxbi _4t3ipxbi" fill="none" role="presentation" viewbox="0 0 16 16"><path clip-rule="evenodd" d="M8.22 2.22a3.932 3.932 0 1 1 5.56 5.56l-2.25 2.25-1.06-1.06 2.25-2.25a2.432 2.432 0 0 0-3.44-3.44L7.03 5.53 5.97 4.47zm3.06 3.56-5.5 5.5-1.06-1.06 5.5-5.5zM2.22 8.22l2.25-2.25 1.06 1.06-2.25 2.25a2.432 2.432 0 0 0 3.44 3.44l2.25-2.25 1.06 1.06-2.25 2.25a3.932 3.932 0 1 1-5.56-5.56" fill="currentcolor" fill-rule="evenodd"></path></svg></span></button></span>

  
For the **sub-array <span data-highlighted="true" data-vc="highlighted-text">AAS</span> plugin** the following parameters can be set:

- **Azimuth additional offset**, see A11.3
- **Elevation additional offset**, see A11.4. The mechanical downtilt depends on the deployment scenario, see in [<span data-highlighted="true" data-vc="highlighted-text">ITU-R</span> <span data-highlighted="true" data-vc="highlighted-text">WP5D</span> document 5D/716](https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx "https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx") or 3GPP <span data-highlighted="true" data-vc="highlighted-text">TR</span> 38.803 Section 5.2.3.2.4.
- **Number of elements in horizontal direction**, **number of subarrays in vertical direction** and **number of elements per sub-array in vertical direction** (positive integers), see example figure below. The figure is from [<span data-highlighted="true" data-vc="highlighted-text">ITU-R</span> <span data-highlighted="true" data-vc="highlighted-text">WP5D</span> document 5D/701-E](https://www.itu.int/md/meetingdoc.asp?lang=en&parent=R19-WP5D-C-0701 "https://www.itu.int/md/meetingdoc.asp?lang=en&parent=R19-WP5D-C-0701") showing <span data-highlighted="true" data-vc="highlighted-text">AAS</span> panel with 8 columns (number of elements in horizontal direction), 4 rows (number of subarrays in vertical direction) and of 3x1 sub-arrays (logical elements).

[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/RhgjUziqGnSZ7RIe-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/RhgjUziqGnSZ7RIe-image.png)

<div class="rich-media-item mediaSingleView-content-wrap image-align-start css-1uxnv8v" data-layout="align-start" data-media-vc-wrapper="true" data-node-type="mediaSingle" data-renderer-start-pos="1223" data-vc="media-single" data-width="606" data-width-type="pixel" id="bkmrk--1"><div class="css-ldwr0l"><div data-alt="" data-collection="contentId-493550" data-context-id="493550" data-file-mime-type="" data-file-name="file" data-file-size="1" data-height="755" data-id="5083a013-d2d9-48e0-975f-e112e2c54c28" data-node-type="media" data-renderer-start-pos="1224" data-type="file" data-width="1280"><div class="_2rko18qm _vchhusvi _kqswh2mm _ect4ttxp _p12f1osq _c71l1osq _1bsb1qmm _4t3ine4n _1hlmd0i9 _1rquusvi _eg541i5c _mts3kb7n _1ntskb7n _yfmhtlke _5sb1v00u new-file-experience-wrapper" data-media-vc-wrapper="true" data-testid="media-card-view" id="bkmrk--2"><div class="_1reo15vq _18m915vq _2rko18qm _1e0c1txw _kqswh2mm _p12f1osq _1bsb1osq _4t3i1osq _c71l1osq media-file-card-view" data-cursor="pointer" data-test-media-name="worddav3a1b095b647a5c3c3cbb8b64a3c6dda0.png" data-test-progress="1" data-test-source="remote" data-test-status="complete" data-testid="media-file-card-view"><div class="_kqswstnw _1bsb1osq _4t3i1osq _1e0c1txw _2lx21bp4 _1bah1h6o _4cvr1h6o" data-testid="ImageRendererWrapper">![](blob:https://ecowiki.atlassian.net/619d91bb-cf37-4964-ba4d-26253e047a5a#media-blob-url=true&id=5083a013-d2d9-48e0-975f-e112e2c54c28&collection=contentId-493550&contextId=493550&width=1280&height=755&alt=&clientId=113268fe-fe5b-4bc3-8ff3-07965dbf1d18)</div></div></div></div></div></div>  
The **horizontal element spacing**, **vertical sub-array spacing** (centre-to-centre) and **vertical element spacing in the subarray** (positive real numbers) are expressed relative to the wavelength (d<sub data-renderer-mark="true">h,v</sub>/). The "vertical sub-array spacing" has to be greater than or equal to the default value corresponding to the product of the "vertical element spacing in the subarray" and the "number of elements per sub-array in the vertical direction".

- **Pre-set sub-array downtilt** is an electrical fixed downtilt in the sub-array. The pre-set sub-array downtilt depends on the deployment scenario, see in [<span data-highlighted="true" data-vc="highlighted-text">ITU-R</span> <span data-highlighted="true" data-vc="highlighted-text">WP5D</span> document 5D/716](https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx "https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx") or 3GPP <span data-highlighted="true" data-vc="highlighted-text">TR</span> 38.803 Section 5.2.3.2.4.
- **Limit coverage range** selected will enable the selection for:
    
    
    - **Minimum and maximum vertical coverage range** limit for the beamforming. Typical value for macro coverage scenarios are in the range from 0 to -10 degrees and for micro coverage from 0 to -30 degrees (see in [<span data-highlighted="true" data-vc="highlighted-text">ITU-R</span> <span data-highlighted="true" data-vc="highlighted-text">WP5D</span> document 5D/716](https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx "https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx") or 3GPP <span data-highlighted="true" data-vc="highlighted-text">TR</span> 38.803 Section 5.2.3.2.4). They are expressed in SEAMCAT coordinate system with the horizontal plane fixed at zero degree elevation. This setting is independent of the set mechanical antenna tilt. The minimum value must be smaller than the maximum value.
    - **Minimum and maximum horizontal coverage range** is typically ±60 degrees from the antenna boresight for a three-sector base station site.
    - **Minimise system link gain outside coverage range.** If selected this will effectively set the coupling loss to the UEs that are not within the vertical coverage range to infinite. If not selected, the gain to these UEs will be the resulting gain of the antenna gain envelope with the maximum gain limited to the maximum coverage range.
- For **Element antenna setting,** see below.
- Adjacent channel simulation "use composite antenna pattern" for fully correlated beamforming within the band and adjacent band and "sub-array antenna pattern" for adjacent bands. See <span data-highlighted="true" data-vc="highlighted-text">TR</span> 37.840 on correlated and uncorrelated beamforming. Beamforming will be less correlated if frequency separation between wanted signal (interferer) and victim increases.

The pre-set typical values in the antenna plugin are for suburban macro case in 1 710-4 990 MHz frequency range. For other configurations see <span data-highlighted="true" data-vc="highlighted-text">ITU-R</span> Working Party 5D Chairman's Report in [Chapter 4 Annex 4.4](https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx "https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx").

## **Single-element <span data-highlighted="true" data-vc="highlighted-text">AAS</span> setting** **without multiple elements in sub-array**<span class="heading-anchor-wrapper" role="presentation"><button aria-hidden="true" class="css-x4slh0" data-testid="anchor-button" type="button"><span aria-label="Copy" class="_1e0c1o8l _vchhusvi _1o9zidpf _vwz4kb7n _y4ti1igz _bozg1mb9 _12va1onz _jcxd1r8n" role="img"><svg class="_1reo15vq _18m915vq _syaz1r31 _lcxvglyw _s7n4yfq0 _vc881r31 _1bsbpxbi _4t3ipxbi" fill="none" role="presentation" viewbox="0 0 16 16"><path clip-rule="evenodd" d="M8.22 2.22a3.932 3.932 0 1 1 5.56 5.56l-2.25 2.25-1.06-1.06 2.25-2.25a2.432 2.432 0 0 0-3.44-3.44L7.03 5.53 5.97 4.47zm3.06 3.56-5.5 5.5-1.06-1.06 5.5-5.5zM2.22 8.22l2.25-2.25 1.06 1.06-2.25 2.25a2.432 2.432 0 0 0 3.44 3.44l2.25-2.25 1.06 1.06-2.25 2.25a3.932 3.932 0 1 1-5.56-5.56" fill="currentcolor" fill-rule="evenodd"></path></svg></span></button></span>

  
For **single-element <span data-highlighted="true" data-vc="highlighted-text">AAS</span>** **without multiple elements in a** **sub-array** (e.g. for micro cell with 8x8 elements) the following parameters can be used (see in [<span data-highlighted="true" data-vc="highlighted-text">ITU-R</span> <span data-highlighted="true" data-vc="highlighted-text">WP5D</span> document 5D/716](https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx "https://www.itu.int/dms_ties/itu-r/md/19/wp5d/c/R19-WP5D-C-0716!H4-N4.04!MSW-E.docx")<span class="fabric-text-color-mark" data-renderer-mark="true" data-text-custom-color="#0066ff">,</span> Table 9):

- Number of elements in horizontal direction: 8
- Number of subarrays in vertical direction: 8
- Horizontal element spacing: 0.5

Same settings as used in "BeamFormingComposite" antenna plugin for <span data-highlighted="true" data-vc="highlighted-text">AAS</span> with 8x8 elements. For the sub-array the following values need to be set

- Number of elements per sub-array in vertical direction: 1
- Vertical element spacing in the subarray: 0.7
- Pre-set sub-array downtilt = 0

The elevation additional offset with e.g. -10 degrees.

## **Beamforming element antenna parameters for sub-array <span data-highlighted="true" data-vc="highlighted-text">AAS</span>**<span class="heading-anchor-wrapper" role="presentation"><button aria-hidden="true" class="css-x4slh0" data-testid="anchor-button" type="button"><span aria-label="Copy" class="_1e0c1o8l _vchhusvi _1o9zidpf _vwz4kb7n _y4ti1igz _bozg1mb9 _12va1onz _jcxd1r8n" role="img"><svg class="_1reo15vq _18m915vq _syaz1r31 _lcxvglyw _s7n4yfq0 _vc881r31 _1bsbpxbi _4t3ipxbi" fill="none" role="presentation" viewbox="0 0 16 16"><path clip-rule="evenodd" d="M8.22 2.22a3.932 3.932 0 1 1 5.56 5.56l-2.25 2.25-1.06-1.06 2.25-2.25a2.432 2.432 0 0 0-3.44-3.44L7.03 5.53 5.97 4.47zm3.06 3.56-5.5 5.5-1.06-1.06 5.5-5.5zM2.22 8.22l2.25-2.25 1.06 1.06-2.25 2.25a2.432 2.432 0 0 0 3.44 3.44l2.25-2.25 1.06 1.06-2.25 2.25a3.932 3.932 0 1 1-5.56-5.56" fill="currentcolor" fill-rule="evenodd"></path></svg></span></button></span>

  
For the **Beamforming Element Antenna** the following parameters can be set

- **Antenna peak gain** with typical value is 6.4 dBi includes the array ohmic loss of 2 dB and some normalisation of the antenna gain over the sphere. The element antenna gain is per polarisation
- **Azimuth 3dB beamwidth** typical value with 90 degrees for sub-array <span data-highlighted="true" data-vc="highlighted-text">AAS</span>
- **Vertical 3dB beamwidth** typical value with 65 degrees for sub-array <span data-highlighted="true" data-vc="highlighted-text">AAS</span>
- **Front to back ratio and side-lobe level limit** can be set to e.g. 30 dB to consider practical limits

<div class="rich-media-item mediaSingleView-content-wrap image-align-start css-1fn0s1p" data-layout="align-start" data-media-vc-wrapper="true" data-node-type="mediaSingle" data-renderer-start-pos="4848" data-vc="media-single" data-width="511" data-width-type="pixel" id="bkmrk--3"><div class="css-16i2gt2"><div class="css-vhfmu2" contenteditable="false" data-media-badges="true" data-testid="media-badges">  
</div><div data-alt="" data-collection="contentId-493550" data-context-id="493550" data-file-mime-type="" data-file-name="file" data-file-size="1" data-height="28" data-id="23acb99f-0f11-4a39-8362-7cae5e35e923" data-node-type="media" data-renderer-start-pos="4849" data-type="file" data-width="511"><div class="_2rko18qm _vchhusvi _kqswh2mm _ect4ttxp _p12f1osq _c71l1osq _1bsb1qmm _4t3ine4n _1hlmd0i9 _1rquusvi _eg541i5c _mts3kb7n _1ntskb7n _yfmhtlke _5sb1v00u new-file-experience-wrapper" data-media-vc-wrapper="true" data-testid="media-card-view"><div class="_1reo15vq _18m915vq _2rko18qm _1e0c1txw _kqswh2mm _p12f1osq _1bsb1osq _4t3i1osq _c71l1osq media-file-card-view" data-cursor="pointer" data-test-media-name="worddavb7020fd1fc2de6601bf8d648ab871461.png" data-test-progress="1" data-test-source="remote" data-test-status="complete" data-testid="media-file-card-view"><div class="_kqswstnw _1bsb1osq _4t3i1osq _1e0c1txw _2lx21bp4 _1bah1h6o _4cvr1h6o" data-testid="ImageRendererWrapper">![](blob:https://ecowiki.atlassian.net/f61d0fe3-f325-410e-af81-d1ddea483c06#media-blob-url=true&id=23acb99f-0f11-4a39-8362-7cae5e35e923&collection=contentId-493550&contextId=493550&width=511&height=28&alt=&clientId=113268fe-fe5b-4bc3-8ff3-07965dbf1d18)</div></div></div></div></div></div>[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/kNXEeJSlFCAeDaEl-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/kNXEeJSlFCAeDaEl-image.png)

![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/YGktWHXXpddgs9T1-image.png)

<div class="rich-media-item mediaSingleView-content-wrap image-align-start css-oslxr7" data-layout="align-start" data-media-vc-wrapper="true" data-node-type="mediaSingle" data-renderer-start-pos="4851" data-vc="media-single" data-width="602" data-width-type="pixel" id="bkmrk--6"><div class="css-1arc23u"><div data-alt="" data-collection="contentId-493550" data-context-id="493550" data-file-mime-type="" data-file-name="file" data-file-size="1" data-height="718" data-id="1a4d85e5-80a3-4746-bbf7-be93b37ed236" data-node-type="media" data-renderer-start-pos="4852" data-type="file" data-width="868"><div class="_2rko18qm _vchhusvi _kqswh2mm _ect4ttxp _p12f1osq _c71l1osq _1bsb1qmm _4t3ine4n _1hlmd0i9 _1rquusvi _eg541i5c _mts3kb7n _1ntskb7n _yfmhtlke _5sb1v00u new-file-experience-wrapper" data-media-vc-wrapper="true" data-testid="media-card-view" id="bkmrk--7"><div class="_1reo15vq _18m915vq _2rko18qm _1e0c1txw _kqswh2mm _p12f1osq _1bsb1osq _4t3i1osq _c71l1osq media-file-card-view" data-cursor="pointer" data-test-media-name="worddavf67ddeea41dc165743a7090cb8f285e0.png" data-test-progress="1" data-test-source="remote" data-test-status="complete" data-testid="media-file-card-view"><div class="_kqswstnw _1bsb1osq _4t3i1osq _1e0c1txw _2lx21bp4 _1bah1h6o _4cvr1h6o" data-testid="ImageRendererWrapper">![](blob:https://ecowiki.atlassian.net/6143c4c2-e5d8-49fb-996a-7b238e3bde0a#media-blob-url=true&id=1a4d85e5-80a3-4746-bbf7-be93b37ed236&collection=contentId-493550&contextId=493550&width=868&height=718&alt=&clientId=113268fe-fe5b-4bc3-8ff3-07965dbf1d18)</div></div></div></div></div></div>![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/wym66hMf5YUh3iQS-image.png)

<div class="rich-media-item mediaSingleView-content-wrap image-align-start css-oslxr7" data-layout="align-start" data-media-vc-wrapper="true" data-node-type="mediaSingle" data-renderer-start-pos="4854" data-vc="media-single" data-width="602" data-width-type="pixel" id="bkmrk--9"><div class="css-molq31"><div data-alt="" data-collection="contentId-493550" data-context-id="493550" data-file-mime-type="" data-file-name="file" data-file-size="1" data-height="380" data-id="19d2ef3e-62b8-4440-a13e-cbbe4ca370f8" data-node-type="media" data-renderer-start-pos="4855" data-type="file" data-width="722"><div class="_2rko18qm _vchhusvi _kqswh2mm _ect4ttxp _p12f1osq _c71l1osq _1bsb1qmm _4t3ine4n _1hlmd0i9 _1rquusvi _eg541i5c _mts3kb7n _1ntskb7n _yfmhtlke _5sb1v00u new-file-experience-wrapper" data-media-vc-wrapper="true" data-testid="media-card-view" id="bkmrk--10"><div class="_1reo15vq _18m915vq _2rko18qm _1e0c1txw _kqswh2mm _p12f1osq _1bsb1osq _4t3i1osq _c71l1osq media-file-card-view" data-cursor="pointer" data-test-media-name="worddav37c0a526d12714afff3527cf85b99652.png" data-test-progress="1" data-test-source="remote" data-test-status="complete" data-testid="media-file-card-view"><div class="_kqswstnw _1bsb1osq _4t3i1osq _1e0c1txw _2lx21bp4 _1bah1h6o _4cvr1h6o" data-testid="ImageRendererWrapper">![](blob:https://ecowiki.atlassian.net/8d410334-9992-4a4a-8e3b-ba72b9bb88e5#media-blob-url=true&id=19d2ef3e-62b8-4440-a13e-cbbe4ca370f8&collection=contentId-493550&contextId=493550&width=722&height=380&alt=&clientId=113268fe-fe5b-4bc3-8ff3-07965dbf1d18)</div></div></div></div></div></div>##   
**SEAMCAT equations for limiting sub-array coverage range**<span class="heading-anchor-wrapper" role="presentation"><button aria-hidden="true" class="css-x4slh0" data-testid="anchor-button" type="button"><span aria-label="Copy" class="_1e0c1o8l _vchhusvi _1o9zidpf _vwz4kb7n _y4ti1igz _bozg1mb9 _12va1onz _jcxd1r8n" role="img"><svg class="_1reo15vq _18m915vq _syaz1r31 _lcxvglyw _s7n4yfq0 _vc881r31 _1bsbpxbi _4t3ipxbi" fill="none" role="presentation" viewbox="0 0 16 16"><path clip-rule="evenodd" d="M8.22 2.22a3.932 3.932 0 1 1 5.56 5.56l-2.25 2.25-1.06-1.06 2.25-2.25a2.432 2.432 0 0 0-3.44-3.44L7.03 5.53 5.97 4.47zm3.06 3.56-5.5 5.5-1.06-1.06 5.5-5.5zM2.22 8.22l2.25-2.25 1.06 1.06-2.25 2.25a2.432 2.432 0 0 0 3.44 3.44l2.25-2.25 1.06 1.06-2.25 2.25a3.932 3.932 0 1 1-5.56-5.56" fill="currentcolor" fill-rule="evenodd"></path></svg></span></button></span>

  
φ: Azimuth angle (0 to 360°)  
θ: Elevation angle (-90 to 90°, negative = down)  
A: origin point (<span data-highlighted="true" data-vc="highlighted-text"><span class="_kqswh2mm"><span class="_5pioz8co _189e1dm9 _1il9buyh _19lc184f _d0altlke" data-testid="definition-highlighter">ILT</span></span></span>,<span data-highlighted="true" data-vc="highlighted-text"><span class="_kqswh2mm"><span class="_5pioz8co _189e1dm9 _1il9buyh _19lc184f _d0altlke" data-testid="definition-highlighter">ILR</span></span></span>,<span data-highlighted="true" data-vc="highlighted-text"><span class="_kqswh2mm"><span class="_5pioz8co _189e1dm9 _1il9buyh _19lc184f _d0altlke" data-testid="definition-highlighter">VLT</span></span></span>,<span data-highlighted="true" data-vc="highlighted-text"><span class="_kqswh2mm"><span class="_5pioz8co _189e1dm9 _1il9buyh _19lc184f _d0altlke" data-testid="definition-highlighter">VLR</span></span></span>)  
B: target point (<span data-highlighted="true" data-vc="highlighted-text">ILT</span>,<span data-highlighted="true" data-vc="highlighted-text">ILR</span>,<span data-highlighted="true" data-vc="highlighted-text">VLT</span>,<span data-highlighted="true" data-vc="highlighted-text">VLR</span>)  
φhA→B: Antenna azimuth from A to B in horizontal plane  
θhA→B: Antenna elevation from A to B with respect to in horizontal plane  
φA→B: Transformed antenna azimuth from A to B in the plane perpendicular to boresight  
θA→B: Transformed antenna elevation from A to B with respect to boresight  
θhcov,min: Minimum vertical coverage range with respect to horizontal plane  
θhcov,max: Maximum vertical coverage range with respect to horizontal plane  
φhcov,min: Minimum horizontal coverage range in horizontal plane  
φhcov,max: Maximum horizontal coverage range in horizontal plane  
θcov,min: Minimum vertical coverage range with respect to boresight  
θcov,max: Maximum vertical coverage range with respect to boresight  
φcov,min: Minimum horizontal coverage range in the plane perpendicular to boresight  
φcov,max: Maximum horizontal coverage range in the plane perpendicular to boresight  
β: mechanical downtilt (positive = down)  
θi,etilt: elevation beam steering angle with respect to mechanical boresight (positive=down)  
φi,escan: azimuth beam steering angle in the plane perpendicular to mechanical boresight

  
Angle transformations:

[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/EQLwQdqzgTMKdxsf-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/EQLwQdqzgTMKdxsf-image.png)

[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/085hKzkknF1yKOGV-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/085hKzkknF1yKOGV-image.png)

[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/YP08vAyGhYNIIhL2-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/YP08vAyGhYNIIhL2-image.png)

[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/eWqxME5hkY0MbVd5-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/eWqxME5hkY0MbVd5-image.png)

The beam steering angles are limited to the minimum and maximum coverage angles as follows:

[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/GG6PeFgAURIVz7L6-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/GG6PeFgAURIVz7L6-image.png)

Alternatively:

[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/YnJ6smAglnuTUGQa-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/YnJ6smAglnuTUGQa-image.png)

[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/blfkgXOpUVEOIJre-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/blfkgXOpUVEOIJre-image.png)

Alternatively:

[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/gTrk7YUukGV2uz0L-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/gTrk7YUukGV2uz0L-image.png)

[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/npY3AbNNCNjdnzYx-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/npY3AbNNCNjdnzYx-image.png)

<div data-testid="inline-image" id="bkmrk-figure-1%3A-elevation-"><div class="_1e0c1nu9" role="presentation"><a class="_ymio1r31 _ypr0glyw _zcxs1o36 _mizu1v1w _1ah3dkaa _ra3xnqa1 _128mdkaa _1cvmnqa1 _4davt94y _4bfu1r31 _1hms8stv _ajmmnqa1 _vchhusvi _kqswh2mm _ect4ttxp _syaz13af _1a3b1r31 _4fpr8stv _5goinqa1 _f8pj13af _9oik1r31 _1bnxglyw _jf4cnqa1 _30l313af _1nrm1r31 _c2waglyw _1iohnqa1 _9h8h12zz _10531ra0 _1ien1ra0 _n0fx1ra0 _1vhv17z1">![](blob:https://ecowiki.atlassian.net/0e707efd-bc71-47d4-9321-4dd200fd3e22#media-blob-url=true&id=afa158fd-1513-4936-89cd-82a2d90cc2f1&clientId=113268fe-fe5b-4bc3-8ff3-07965dbf1d18&contextId=contentId-493550&collection=contentId-493550)</a>*<span class="fabric-text-color-mark" data-renderer-mark="true" data-text-custom-color="#44546a">Figure 1: Elevation example of <span data-highlighted="true" data-vc="highlighted-text">ILT</span>→<span data-highlighted="true" data-vc="highlighted-text">ILR</span> link with <span data-highlighted="true" data-vc="highlighted-text">ILR</span> (<span data-highlighted="true" data-vc="highlighted-text"><span class="_kqswh2mm"><span class="_5pioz8co _189e1dm9 _1il9buyh _19lc184f _d0altlke" data-testid="definition-highlighter">UE</span></span></span>) within vertical coverage range (θcov,min&lt;θ<span data-highlighted="true" data-vc="highlighted-text">ILT</span>→<span data-highlighted="true" data-vc="highlighted-text">ILR</span>&lt;θcov,max)</span>*   
</div></div><div data-testid="inline-image" id="bkmrk--20"><div class="_1e0c1nu9" role="presentation"><a class="_ymio1r31 _ypr0glyw _zcxs1o36 _mizu1v1w _1ah3dkaa _ra3xnqa1 _128mdkaa _1cvmnqa1 _4davt94y _4bfu1r31 _1hms8stv _ajmmnqa1 _vchhusvi _kqswh2mm _ect4ttxp _syaz13af _1a3b1r31 _4fpr8stv _5goinqa1 _f8pj13af _9oik1r31 _1bnxglyw _jf4cnqa1 _30l313af _1nrm1r31 _c2waglyw _1iohnqa1 _9h8h12zz _10531ra0 _1ien1ra0 _n0fx1ra0 _1vhv17z1">![](blob:https://ecowiki.atlassian.net/af893a19-e742-4a53-b912-e15b0a4bd39c#media-blob-url=true&id=31bb5a1d-09bf-4477-ba8c-7f93e7e50b10&clientId=113268fe-fe5b-4bc3-8ff3-07965dbf1d18&contextId=contentId-493550&collection=contentId-493550)</a></div></div>[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/rmbuoJmPWNQdDw6B-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/rmbuoJmPWNQdDw6B-image.png)

  
*<span class="fabric-text-color-mark" data-renderer-mark="true" data-text-custom-color="#44546a">Figure 2: Elevation example of <span data-highlighted="true" data-vc="highlighted-text">ILT</span>→<span data-highlighted="true" data-vc="highlighted-text">ILR</span> link with <span data-highlighted="true" data-vc="highlighted-text">ILR</span> (<span data-highlighted="true" data-vc="highlighted-text">UE</span>) outside vertical coverage range (θ<span data-highlighted="true" data-vc="highlighted-text">ILT</span>→<span data-highlighted="true" data-vc="highlighted-text">ILR</span>&lt;θcov,min)</span>*

<div data-testid="inline-image" id="bkmrk--22"><div class="_1e0c1nu9" role="presentation"><a class="_ymio1r31 _ypr0glyw _zcxs1o36 _mizu1v1w _1ah3dkaa _ra3xnqa1 _128mdkaa _1cvmnqa1 _4davt94y _4bfu1r31 _1hms8stv _ajmmnqa1 _vchhusvi _kqswh2mm _ect4ttxp _syaz13af _1a3b1r31 _4fpr8stv _5goinqa1 _f8pj13af _9oik1r31 _1bnxglyw _jf4cnqa1 _30l313af _1nrm1r31 _c2waglyw _1iohnqa1 _9h8h12zz _10531ra0 _1ien1ra0 _n0fx1ra0 _1vhv17z1">![](blob:https://ecowiki.atlassian.net/34bdd79d-4328-4fc2-8826-ed281e6a5d42#media-blob-url=true&id=7f3cfcec-31cc-41b5-a133-53e60f3ef93d&clientId=113268fe-fe5b-4bc3-8ff3-07965dbf1d18&contextId=contentId-493550&collection=contentId-493550)</a></div></div>[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/RSuZZkEFqZhXJMk4-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/RSuZZkEFqZhXJMk4-image.png)

  
*<span class="fabric-text-color-mark" data-renderer-mark="true" data-text-custom-color="#44546a">Figure 3: Azimuth example of <span data-highlighted="true" data-vc="highlighted-text">ILT</span>→<span data-highlighted="true" data-vc="highlighted-text">ILR</span> link with <span data-highlighted="true" data-vc="highlighted-text">ILR</span> (<span data-highlighted="true" data-vc="highlighted-text">UE</span>) within horizontal coverage range (0≤φ<span data-highlighted="true" data-vc="highlighted-text">ILT</span>→<span data-highlighted="true" data-vc="highlighted-text">ILR</span>&lt;φcov,max)</span>*

<div data-testid="inline-image" id="bkmrk--24"><div class="_1e0c1nu9" role="presentation"><a class="_ymio1r31 _ypr0glyw _zcxs1o36 _mizu1v1w _1ah3dkaa _ra3xnqa1 _128mdkaa _1cvmnqa1 _4davt94y _4bfu1r31 _1hms8stv _ajmmnqa1 _vchhusvi _kqswh2mm _ect4ttxp _syaz13af _1a3b1r31 _4fpr8stv _5goinqa1 _f8pj13af _9oik1r31 _1bnxglyw _jf4cnqa1 _30l313af _1nrm1r31 _c2waglyw _1iohnqa1 _9h8h12zz _10531ra0 _1ien1ra0 _n0fx1ra0 _1vhv17z1">![](blob:https://ecowiki.atlassian.net/953f4e39-44bb-40c4-8aa4-a126312fbbf5#media-blob-url=true&id=4468eabe-5ea5-4e40-acbe-0a9473cd3692&clientId=113268fe-fe5b-4bc3-8ff3-07965dbf1d18&contextId=contentId-493550&collection=contentId-493550)</a></div></div>[![image.png](https://wiki.cept.org/uploads/images/gallery/2026-04/scaled-1680-/SeHtQnFhoK1qWIaH-image.png)](https://wiki.cept.org/uploads/images/gallery/2026-04/SeHtQnFhoK1qWIaH-image.png)

  
*<span class="fabric-text-color-mark" data-renderer-mark="true" data-text-custom-color="#44546a">Figure 4: Azimuth example of <span data-highlighted="true" data-vc="highlighted-text">ILT</span>→<span data-highlighted="true" data-vc="highlighted-text">ILR</span> link with <span data-highlighted="true" data-vc="highlighted-text">ILR</span> (<span data-highlighted="true" data-vc="highlighted-text">UE</span>) outside horizontal coverage range (φcov,max≤φ<span data-highlighted="true" data-vc="highlighted-text">ILT</span>→<span data-highlighted="true" data-vc="highlighted-text">ILR</span>&lt;180)</span>*