MAPPING ASSET STANDARD MACRO CELL PROPAGATION MODEL TO ATOLL SPM

By Marvin Sanchez Garache PhD. in Radio Communication Systems

PROBLEM DEFINITION: Many operators utilize Asset3G as Radio Network

Design Tool and the Standard Macro­cell Propagation Model (SMP). The operators usually have tuned radio propagation models for SMP therefore, if we need to use Atoll for optimization or radio network design, an appropriate model mapping is needed.

Dr. M.S. Garache 2

OBJECTIVE

Dr. M.S. Garache 3

SUMMARY This summarize the mapping:

(Asset)(atoll)

(Asset)(Asset)(atoll)

K2K2K2*3K1K1

(asset)(atoll)

(Asset)(Atoll)

(asset)(asset)(atoll)

K6K5K7K4

3K6K5K3

0Khill.considered are lossesclutter if 0or 1

K4*117.0K3K6 (asset)(asset)(atoll)

Kclutter

Dr. M.S. Garache 4

PROOF

Dr. M.S. Garache 5

STANDARD PROPAGATION MODEL (ATOLL) (1/2)

The receive power in STM Atoll’s model is computed by:

The path losses are given by:

loshill,clutterrxeff6

txeff5

4txeff321loss

Kf(clutter)*KH*K)log(H*log(d)*K

nDiffractio*K)log(H*Klog(d)*KKP

losstxrx P-PP

Dr. M.S. Garache 6

STANDARD PROPAGATION MODEL (ATOLL) (2/2): Where: PR : received power (dBm) PTx:: transmitted power (EIRP) (dBm) K1 : constant offset (dB) K2 : multiplying factor for log(d) d : distance between the receiver and the transmitter (m) K3 : multiplying factor for log(HTxeff) Htxeff : effective height of the transmitter antenna (m) K4 : multiplying factor for diffraction calculation. K4 must be a positive number Diffraction : losses due to diffraction over an obstructed path (dB) K5 : multiplying factor for log(HTxeff)log(d) K6 : multiplying factor for HRxeff K7 : multiplying factor for log(HRxeff) Hrxeff : mobile antenna height (m) Kclutter : multiplying factor for f(clutter) f(clutter) : average of weighted losses due to clutter Khill, LOS : corrective factor for hilly regions (=0 in case of NLOS) Dr. M.S. Garache 7

STANDARD MACRO CELL MODEL (ASSET) The receive power is computed by

Prx = 𝑃#$−𝑃%&'' The path losses are given by: 𝑃%&'' = 𝐾) + 𝐾+ log 𝑑 + 𝐾0 𝐻2' + 𝐾3 log 𝐻2'

+ 𝐾4𝑙𝑜𝑔 𝐻899 + 𝐾:log (𝐻899) log (𝑑) + 𝐾> 𝑑𝑖𝑓𝑓+ 𝐶%&'' 

where  d : distance between the BS and MS (in kms) 𝐻2' : height of mobile station from ground 𝐻899 : effective BS antenna height diff : diffraction loss 𝐾) and 𝐾+ : intercept and slope 𝐾0 : mobile antenna height factor   Dr. M.S. Garache 8

𝐾3 : okumura hata multiplying factor for Hms 𝐾4 : effective antenna height gain 𝐾: : okumura hata type multiplying factor for

log(Heff) log(d) 𝐾> : diffraction 𝐶%&'': clutter loss (height and separation is also

included)

Dr. M.S. Garache 9

RELATED PARAMETERS

ATOLL ASSETHrxeff HmsHtxeff HeffDiffraction Diffd(m) d(km)Kclutter*f(clutter) C_Loss

Dr. M.S. Garache 10

MAPPING K2 AND K1 FOR ATOLL GIVEN ASSET

(Asset)(Asset)(atoll)(atoll)(atoll)(Asset)

(Asset)(atoll)

(atoll)(atoll)(atoll)(Asset)(Asset)

(atoll)(atoll)(Asset)(Asset)

K2*3K1K1K2*3K1K1K2K2

log(dkm)*K2)K2*3(K1log(dkm)K2K13][log(dkm)K2K1log(dkm)K2K1

3log(dkm)log(dm)10^3]*log[d(km)log(dm)

The distance in atoll is given in meters and in Asset Standard Macrocell model is given in kilometers, the:

Using that relation we can find the mapping for k1 and k2

Dr. M.S. Garache 11

ATOLL DIFFRACTION FACTOR K4 We should use the same diffraction model

therefore (e.g. Millington or Epstein & Pettersson):

(asset)(atoll) K7K4

Dr. M.S. Garache 12

MAPPING FOR K5 AND K3 IN ATOLL

)log(HtxeffK5g(Htxeff)log(dkm)loK6)log(Htxeff*K3)log(Htxeff*3][log(dkm)*K5 (asset)(asset)(atoll)(atoll)

(asset)(asset)(atoll)

(asset)(atoll)

(asset)(asset)(atoll)(atoll)

(atoll)

3K6K5K3K6K5

log(Htx)K5g(Htxeff)log(dkm)loK6f)]log(Htxef3K5[K3)log(Htxeff*log(dkm)*K5

Here again we use the distance relation in kilometers:

Then

Dr. M.S. Garache 13

MAPPING FOR ATOLL K6

This is related to the MS height: Since Asset does not use the log(Hm) we uassume

the MS heigh of 1.5 meters :

log(Hms)*K4 Hms K3 Hms K6 (Asset)(asset)(atoll)

(asset)(asset)(atoll)

(asset)(asset)(atoll)

(asset)(asset)(atoll)

K4*117.0K3K6

(1.5)][log(1.5)/K4K3K6(Hms)][log(Hms)/K4K3K6

Dr. M.S. Garache 14

KCLUTTERATOLL

Kclutter=1

If clutter losses are considered in Asset the the

mapping must be fit into f(clutter) as in C_Loss for Asset

Dr. M.S. Garache 15

SUMMARY ASSET STANDARD MACROCELL TO ATOLL SPM

This summarize the mapping:

Dr. M.S. Garache 16

(Asset)(atoll)

(Asset)(Asset)(atoll)

K2K2K2*3K1K1

(asset)(atoll)

(Asset)(Atoll)

(asset)(asset)(atoll)

K6K5K7K4

3K6K5K3

0Khill.considered are lossesclutter if 0or 1

K4*117.0K3K6 (asset)(asset)(atoll)

Kclutter

MAPPING EXAMPLE

Dr. M.S. Garache 17

This value is out of range should be ­1 to 0. In this case can be set to 0 and adjust K1

Valores K ASSET ATOLL Atoll min Atoll MaxK1 115.32 12.21 variable variableK2 34.37 34.37 20 70K3 ‐2.55 5.83 ‐20 20K4 0 0.21 0 0.8K5 ‐6.32 ‐4.05 ‐10 0K6 ‐4.05 ‐2.55 ‐1 0K7 0.21Kclutter 1

06)5.1log(*4)5.1(*3K2*3K1K1 )((Asset)(Asset)(atoll)

KKK AssetAsset

MAPPING K2 AND K1 FOR ATOLL GIVEN ASSET

)5.1log(*45.1*3K2*3K1K1K2*3K1)5.1log(*45.1*3K1K2K2

3][log(dkm)K2K1log(1.5)*K4(1.5)*K3log(dkm)K2K11.5mHms and 0K6 Setting

Hms*K63][log(dkm)K2K1log(Hms)*K4Hms*K3log(dkm)K2K1

(Asset)(Asset)(atoll)(atoll)(atoll)(Asset)

(Asset)(atoll)

(atoll)(atoll)(Asset)(Asset)

(atoll)(atoll)(Asset)(Asset)

KKKK

3log(dkm)log(dm)10^3]*log[d(km)log(dm)

The distance in atoll is given in meters and in Asset Standard Macrocell model is given in kilometers, the:

Using that relation we can find the mapping for k1 and k2

Dr. M.S. Garache 18

MAPPING EXAMPLE

If the value for k6is out of range we can compensate that setting to tipical valuesHms= 1.5

Valores K ASSET ATOLL Atoll min Atoll MaxK1 115.32 8.385 variable variableK2 34.37 34.37 20 70K3 ‐2.55 5.83 ‐20 20K4 0 0.21 0 0.8K5 ‐6.32 ‐4.05 ‐10 0K6 ‐4.05 0 ‐1 0K7 0.21Kclutter 1

COMPARISON Notice that atoll does not report error if the values are out of range.

MAPPING WITH THE OUT OF RANGE VALUE

CORRECTED VALUE WITH THE SECOND FORMULA