Mapping Asset3G propagation model to Atoll

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: K1(atoll)  K1(Asset)  3 * K2(Asset) K2(atoll)  K2(Asset) K3(atoll)  K5(asset)  3K6(asset) K4(Atoll)  K7(Asset) K5(atoll)  K6(asset)

K6(atoll)  K3(asset)  0.117 * K4(asset) Kclutter  1 or 0 if clutter losses are considered . Khill  0 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:

Prx  Ptx - Ploss



The path losses are given by:

Ploss  K1  K 2 * log(d)  K 3 * log(H txeff )  K 4 * Diffraction  K 5 * log(d) * log(H txeff )  K 6 * H rxeff  K clutter * f(clutter)  K hill,los

Dr. M.S. Garache 6

STANDARD PROPAGATION MODEL (ATOLL) (2/2): Where: 

PR : received power (dBm)

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PTx:: transmitted power (EIRP) (dBm)

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K1 : constant offset (dB)

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K2 : multiplying factor for log(d)

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d : distance between the receiver and the transmitter (m)

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K3 : multiplying factor for log(HTxeff)

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Htxeff : effective height of the transmitter antenna (m)

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K4 : multiplying factor for diffraction calculation. K4 must be a positive number

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Diffraction : losses due to diffraction over an obstructed path (dB)

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K5 : multiplying factor for log(HTxeff)log(d)

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K6 : multiplying factor for HRxeff

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K7 : multiplying factor for log(HRxeff)

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Hrxeff : mobile antenna height (m)

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Kclutter : multiplying factor for f(clutter)

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f(clutter) : average of weighted losses due to clutter

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Khill, LOS : corrective factor for hilly regions (=0 in case of NLOS) Dr. M.S. Garache 7

STANDARD MACRO CELL MODEL (ASSET) 

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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' + 𝐾4 𝑙𝑜𝑔 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 Hrxeff Htxeff Diffraction d(m) Kclutter*f(clutter)

ASSET Hms Heff Diff d(km) C_Loss

Dr. M.S. Garache 10

MAPPING K2 AND K1 FOR ATOLL GIVEN ASSET The distance in atoll is given in meters and in Asset Standard Macrocell model is given in kilometers, the:

log(dm)  log[d(km) *10^3] log(dm)  log(dkm)  3 Using that relation we can find the mapping for k1 and k2

K1(Asset)  K2(Asset) log(dkm)  K1(atoll)  K2(atoll) [log(dkm)  3] K1(Asset)  K2(Asset) log(dkm)  (K1(atoll)  3 * K2(atoll) )  K2(atoll) * log(dkm)  K2(atoll)  K2(Asset) K1(Asset)  K1(atoll)  3 * K2(atoll)  K1(atoll)  K1(Asset)  3 * K2(Asset)

Dr. M.S. Garache 11

ATOLL DIFFRACTION FACTOR K4 

We should use the same diffraction model therefore (e.g. Millington or Epstein & Pettersson):

K4(atoll)  K7(asset)

Dr. M.S. Garache 12

MAPPING FOR K5 AND K3 IN ATOLL Here again we use the distance relation in kilometers: K5(atoll) * [log(dkm)  3] * log(Htxeff)  K3(atoll) * log(Htxeff)  K6(asset) log(dkm)log(Htxeff)  K5(asset) log(Htxeff)

Then

K5(atoll) * log(dkm) * log(Htxeff )  [K3(atoll)  3K5(atoll) ]log(Htxef f)  K6(asset) log(dkm)lo g(Htxeff)  K5(asset) log(Htx)  K5(atoll)  K6(asset) K3(atoll)  K5(asset)  3K6(asset)

Dr. M.S. Garache 13

MAPPING FOR ATOLL K6 

This is related to the MS height:

K6(atoll) Hms  K3(asset) Hms  K4(Asset) * log(Hms) Since Asset does not use the log(Hm) we uassume the MS heigh of 1.5 meters :

K6(atoll)  K3(asset)  K4(asset) [log(Hms)/ (Hms)] K6(atoll)  K3(asset)  K4(asset) [log(1.5)/ (1.5)]  K6(atoll)  K3(asset)  0.117 * K4(asset) Dr. M.S. Garache 14

KCLUTTERATOLL 

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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: K1(atoll)  K1(Asset)  3 * K2(Asset) K2(atoll)  K2(Asset) K3(atoll)  K5(asset)  3K6(asset) K4(Atoll)  K7(Asset) K5(atoll)  K6(asset)

K6(atoll)  K3(asset)  0.117 * K4(asset) Kclutter  1 or 0 if clutter losses are considered . Khill  0 Dr. M.S. Garache 16

MAPPING EXAMPLE Valores K K1 K2 K3 K4 K5 K6 K7 Kclutter

ASSET ATOLL 115.32 34.37 ‐2.55 0 ‐6.32 ‐4.05 0.21

Atoll min Atoll Max 12.21 variable variable 34.37 20 70 5.83 ‐20 20 0.21 0 0.8 ‐4.05 ‐10 0 ‐2.55 ‐1 0 1

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

K1(atoll)  K1(Asset)  3 * K2(Asset)  K 3 Asset * (1.5)  K 4( Asset ) * log(1.5)

K60

Dr. M.S. Garache 17

MAPPING K2 AND K1 FOR ATOLL GIVEN ASSET The distance in atoll is given in meters and in Asset Standard Macrocell model is given in kilometers, the:

log(dm)  log[d(km) *10^3] log(dm)  log(dkm)  3 Using that relation we can find the mapping for k1 and k2

K1(Asset)  K2(Asset) log(dkm)  K3 * Hms  K4 * log(Hms)  K1(atoll)  K2(atoll) [log(dkm)  3]  K6 * Hms  Setting K6  0 and Hms  1.5m K1(Asset)  K2(Asset) log(dkm)  K3 * (1.5)  K4 * log(1.5)  K1(atoll)  K2(atoll) [log(dkm)  3]  K2(atoll)  K2(Asset) K1(Asset)  K 3 *1.5  K 4 * log(1.5)  K1(atoll)  3 * K2(atoll)  K1(atoll)  K1(Asset)  3 * K2(Asset)  K 3 *1.5  K 4 * log(1.5)

Dr. M.S. Garache 18

MAPPING EXAMPLE

Valores K K1 K2 K3 K4 K5 K6 K7 Kclutter

If the value for k6is out of range we can compensate that setting to t Hms= 1.5 ASSET ATOLL Atoll min Atoll Max 115.32 8.385 variable variable 34.37 34.37 20 70 ‐2.55 5.83 ‐20 20 0 0.21 0 0.8 ‐6.32 ‐4.05 ‐10 0 ‐4.05 0 ‐1 0 0.21 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