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Table 1 Symbols and parameters for distributed user association

From: Performance analysis and optimization for non-uniformly deployed mmWave cellular network

Symbol and parameter

Description

A k

The probability that a typical user receives the maximum received power from a k-tier BS.

r k

The distance from UE to the nearest k-tier BS.

P k

The transmission power of k-tier BS.

P k

The directivity gain of a k-tier link.

α k

The path loss exponent in the k-th tier.

Pr,k(rk)

The long-term received power from a k-tier BS at UE.

\({F_{{R_{l}}}}\left ({r_{l}} \right)\)

The cumulative distribution function (cdf) of the distance to the nearest l-tier BS.

\({f_{{X_{k}}}}\left ({x_{k}} \right)\)

The probability distribution function (pdf) of k-tier associated distance xk.

SINRk(x)

The received SINR at the typical user (at origin o) conditioned on the associated k-tier BS at x.

\({\mathfrak {R}_{k}}\)

The average achievable rate on the condition that user is associated with k-tier.

\(\mathfrak {R}\)

The average achievable rate.

φ sm

The sm-tier coverage probability conditioned on the associated distance.

φ mu

The mu-tier coverage probability conditioned on the associated distance.