Introduction:

The expected percentage of area within a cell that has received power above a given minimum is known as the Cell Coverage area

Cell coverage area under path loss and shadowing         

• Consider a base station inside a circular cell of a given radius R.
• All mobiles within the cell require some minimum received SNR for acceptable performance. As shown in figure
• Assuming some reasonable noise and interference model, the SNR requirement translates to a minimum received power P_min throughout the cell.
• The transmit power at the base station is designed for an average received power at the cell boundary of P_R,averaged over the shadowing variations.

Cell Coverage Area

However, shadowing will cause some locations within the cell to have received power below P_R and others will have received power exceeding P_R

• Let Pr(r) be the received power in dA from combined path loss and shadowing. Then the total area within the cell where the minimum power requirement is exceeded is obtained by integrating over all incremental areas where this minimum is exceeded

• The outage probability of the cell is defined as the percentage of area within the cell that does not meet its minimum power requirement P_min; that is, P_outage= 1 — C.
• Given the log-normal distribution for the shadowing

• where Pout has been defined in slide 10 with d=r.
• Locations within the cell with received power below Pmin are said to be outage locations.
• Combining P_A into C yields  

is the received power at the cell boundary (distance R from the base station) due to path loss alone.

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